@STRING{cambridge = "Cambridge University Press"} @STRING{cambridgeaddress= "Cambridge, UK"} @STRING{cambridge_add= "Cambridge, UK"} @STRING{tcns = "IEEE Transactions on Control of Network Systems"} @STRING{tac = "IEEE Transactions on Automatic Control"} @string{mit = "MIT Press"} @string{mit_add = "Cambridge, MA"} @article{EJCFiaz, author = "S. Fiaz and D. Zonetti and R. Ortega and J. M. A. Scherpen and A. J. {van der Schaft}", title = "A port-{H}amiltonian approach to power network modeling and analysis", journal = "European Journal of Control", volume = "19", number = "6", pages = "477-485", year = "2013", month = "December" } @article{cal-tab, author = "S. Y. Caliskan and P. Tabuada ", title = "Compositional Transient Stability Analysis of Multimachine Power Networks", journal = "IEEE Transactions on Control of Network systems", volume = "1", number = "1", pages = "4-14", year = "2014" } @book{kundur, author = "P. Kundur", title = "Power System Stability and Control", publisher = "Mc-Graw-Hill Engineering", year = "1993", } @article{phsurvey, author = "A. J. {van der Schaft} and D. Jeltsema", title = "Port-{H}amiltonian Systems Theory: An Introductory Overview", journal = "Foundations and Trends in Systems and Control", volume = "1", number = "2-3", pages = "173-378", year = "2014" } @inproceedings{swing-claudio, author = "M. Bürger and C. {De Persis} and S. Trip", title = "An internal model approach to (optimal) frequency regulation in power grids", booktitle = "Proceedings of the MTNS", pages = "577-583", year = 2014, address = "Groningen" } @article{dynpricehis, author = "F. Alvarado", title = "The Stability of Power System Markets", journal = "IEEE Transactions on Power Systems", volume = "14", number = "2", pages = "505-511", year = "1999", month = "May" } @inproceedings{CDC2010_Stability, title={On the stability of wholesale electricity markets under real-time pricing}, author={Roozbehani, M. and Dahleh, M. and Mitter, S.}, booktitle={IEEE Conference on Decision and Control}, pages={1911--1918}, year={2010}, } @conference{kiani_anna, author = "A. Kiani and A. Annaswamy", title = "The effect of a smart meter on congestion and stability in a power market", booktitle = "$49^{th}$ IEEE Conference on Decision and Control", address = "Atlanta, USA", year = "2010", month = "December,", } @inproceedings{zhangpapa, title={A real-time control framework for smart power networks with star topology}, author={Zhang, X. and Papachristodoulou, A.}, booktitle={American Control Conference}, pages={5062--5067}, year={2013}, publisher={IEEE} } @conference{AGC_ACC2014, author = "N. Li and L. Chen and C. Zhao and S. H. Low", title = "Connecting automatic generation control and economic dispatch from an optimization view", booktitle = "American Control Conference", year = "2014", pages="735--740", organization="IEEE" } @article{output_agreement, author = "M. Bürger and C. {De Persis}", title = "Dynamic coupling design for nonlinear output agreement and time-varying flow control", journal = "Automatica", volume = "51", month = "January", year = "2015", pages = "210-222", } @article{firstSPM, author = "A. R. Bergen and D. J. Hill", title = "Structure preserving model for power system stability analysis", journal = "IEEE Transaction on Power Apparatus and Systems", volume = "PAS-100", number = "1", pages = "25-35", year = "1981", month = "January", } @booklet{lavei11, author = "J. Lavei and A. Rantzer and S. Low", title = "Power flow optimization using positive quadratic programming", year = "2011", } @book{GR01, author = "C. Godsil and G. Royle", title = "Algebraic Graph Theory", publisher = "Springer", year = "2001", } @article{PM08, author = "A. Pavlov and L. Marconi", title = "Incremental passivity and output regulation", journal = "Systems and Control Letters", volume = "57", year = "2008", pages = "400-409" } @article{posreal, author = "W. Enping and W. Chaozhu", title = "Some properties of the positive real matrix", journal = "Acta Mathematicae Applicatae Sinica", volume = "1", number = "1", year = "1984", month = "June", pages = "85-92" } @conference{roozdynstabsupdem, author = "M. Roozbehani and M. Dahleh and S. Mitter", title = "Dynamic Pricing and Stabilization of Supply and Demand in Modern Electric Power Grids", booktitle = "First IEEE International Conference on Smart Grid Communications (SmartGridComm)", year = "2010" } @conference{roozcompelmarket, author = "M. Roozbehani and M. Rinehart and M. Dahleh and S. Mitter and D. Obradovic and H. Mangesius", title = "Analysis of Competitive Electricity Markets under a New Model of Real-Time Retail Pricing", booktitle = "8th International Conference on the European Energy Market (EEM)", year = "2011", month = "May", pages = "250-255", address = "Zagreb, Croatia", } @article{roozvol, author = "M. Roozbehani and M. Dahleh and S. Mitter", title = "Volatility of Power Grids Under Real-Time Pricing", journal = "IEEE Transactions on Power Systems", volume = "27", number = "4", year = "2012", month = "November", pages = "1926-1940", } @article{damppascontrolauto, author = {R. Ortega and A. J. {van der Schaft} and B. Maschke and G. Escobar}, title = {Interconnection and damping assignment passivity-based control of port-controlled {H}amiltonian systems}, journal = {Automatica}, year = {2002}, volume = {38}, pages = {585-596}, } @Book{powsysdynwiley, author = {J. Machowski and J. W. Bialek and J. R. Bumby}, title = {Power System Dynamics: Stability and Control}, publisher = {John Wiley \& Sons}, year = {2008}, address = {Ltd}, edition = {Second}, } @Book{anderson1977, author = {P. M. Anderson and A. A. Fouad}, title = {Power System Control and Stability}, publisher = {The Iowa State Univsersity Press}, year = {1977}, edition = {First}, } @Article{imprswingeq, author = {J. Zhou and Y. Ohsawa}, title = {Improved Swing Equation and Its Properties in Synchronous Generators}, journal = {IEEE Transactions on circuits and systems}, year = {2009}, key = {this is the key}, volume = {56}, number = {1}, pages = {200-209}, month = {January}, } @book{convexopt, author = {S. Boyd and L. Vandenberghe}, title = {Convex Optimization}, year = {2004}, publisher = {Cambridge University Press}, location = {Cambridge}, edition={First} } @book{arrow_gradmethod, author = {J. Arrow and L. Hurwicz and H. Uzawa and H. B. Chenery}, title = {Studies in linear and non-linear programming}, year = {1958}, publisher = {Stanford University Press}, location = {Stanford, CA} } @article{feijer-paganini, author = {D. Feijer and F. Paganini}, title = {Stability of primal–dual gradient dynamics and applications to network optimization}, journal = {Automatica}, year = {2010}, volume = {46}, pages = {1974-1981}, month = {September}, } @inproceedings{zhang_papa_tree, title={Distributed dynamic feedback control for smart power networks with tree topology}, author={Zhang, X. and Papachristodoulou, A.}, booktitle={American Control Conference}, pages={1156--1161}, year={2014}, } @Article{alv_meng_power_coupl_market, author = {F. L. Alvarado and J. Meng and C. L. DeMarco and W. S. Mota}, title = {Stability Analysis of Interconnected Power Systems Coupled With Market Dynamics}, journal = {IEEE Transactions on Power Systems}, year = 2001, volume = 16, number = 4, pages = {695-701}, } @Article{florian_pap_micro, author = {F. Dörfler and J. W. Simpson-Porco and F. Bullo}, title = {Plug-and-Play Control and Optimization in Microgrids}, journal = {53rd IEEE Conference on Decision and Control}, year = {2014}, pages = {211-216}, month = {December}, } @inproceedings{mallada2014distributed, title={Distributed frequency-preserving optimal load control}, author={Mallada, E. and Low, S. H.}, booktitle={IFAC World Congress}, year={2014} } @inproceedings{you2014reverse, title={Reverse and forward engineering of frequency control in power networks}, author={Y. Seungil and C. Lijun}, booktitle={Proc. of IEEE Conference on Decision and Control, Los Angeles, CA, USA}, year={2014} } @inproceedings{macchelliinterconnection, title={Interconnection of Port-{H}amiltonian Systems Via Contact Structures. {An} Application to Macro-economic Systems}, author={Macchelli, A.}, booktitle={53rd IEEE Conference on Decision and Control}, year={2014} } @inproceedings{macchelli2013port, title={Port-{H}amiltonian formulation of simple macro-economic systems}, author={Macchelli, A.}, booktitle={IEEE Conference on Decision and Control}, pages={3888--3893}, year={2013} } @inproceedings{zhao2015distributed, title={Distributed Frequency Control for Stability and Economic Dispatch in Power Networks}, author={Zhao, C. and Mallada, E. and D{\"o}rfler, F.}, booktitle={American Control Conference}, year={2015} } @inproceedings{zhang1achieving, title={Achieving real-time economic dispatch in power networks via a saddle point design approach}, author={Zhang, X. and Li, N. and Papachristodoulou, A.}, booktitle={Power \& Energy Society General Meeting}, pages={1--5}, year=2015, organization={IEEE}, howpublished = {\url{http://sysos.eng.ox.ac.uk/wiki/images/e/eb/PESGM15revised.pdf}} } @misc{zhang1achievingsupp, title={Supplementary for `{A}chieving real-time economic dispatch in power networks via a saddle point design approach'}, author={Zhang, Xuan and Li, Na and Papachristodoulou, Antonis}, booktitle={Power \& Energy Society General Meeting, 2015}, pages={1--5}, year=2015, organization={IEEE}, howpublished = {\url{http://sysos.eng.ox.ac.uk/wiki/images/4/48/PESSupplementary.pdf}} } @inproceedings{roozbehani2010dynamic, title={Dynamic pricing and stabilization of supply and demand in modern electric power grids}, author={Roozbehani, M. and Dahleh, M. and Mitter, S.}, booktitle={First IEEE International Conference on Smart Grid Communications (SmartGridComm)}, pages={543--548}, year={2010}, } @inproceedings{zhao2015distributedAC, title={Distributed generator and load-side secondary frequency control in power networks}, author={Zhao, C. and Mallada, E. and Low, S. H.}, booktitle={49th Annual Conference on Information Sciences and Systems (CISS)}, pages={1--6}, year={2015}, organization={IEEE} } @article{DAPIsimpson2013synchronization, title={Synchronization and power sharing for droop-controlled inverters in islanded microgrids}, author={Simpson-Porco, J. W. and D{\"o}rfler, F. and Bullo, F.}, journal={Automatica}, volume={49}, number={9}, pages={2603--2611}, year={2013}, publisher={Elsevier} } @inproceedings{convexhamiltonianpersis, author={M. Bürger and C. {De Persis}}, title={Internal models for nonlinear output agreement and optimal flow control}, booktitle = {Proc. of 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS))}, year = {2013}, address = {Toulouse, France}, pages = {289-294}, } @book{helmke1994optimization, title={Optimization and dynamical systems}, author={Helmke, U. and Moore, J. B.}, address = {W{\"u}rzburg, Germany}, year={1994}, publisher={Springer-Verlag} } @article{LHMNLC, title={Port-{H}amiltonian Formulation of the Gradient Method Applied to Smart Grids}, author={Stegink, Tjerk W. and {De Persis}, C and {van der Schaft}, Arjan J.}, journal={IFAC-PapersOnLine}, volume=48, number=13, pages={13--18}, year=2015, publisher={Elsevier} } @article{zhangpapaautomatica, author = {X. Zhang and A. Papachristodoulou}, title = {A real-time control framework for smart power networks: Design methodology and stability}, journal = {Automatica}, year = {2015}, pages={43--50}, volume = {58}, } @article{wen2004unifying, title={A unifying passivity framework for network flow control}, author={Wen, J. T. and Arcak, M.}, journal={IEEE Transactions on Automatic Control}, volume={49}, number={2}, pages={162--174}, year={2004}, } @article{como2013robust, title={Robust distributed routing in dynamical networks—Part {I}: Locally responsive policies and weak resilience}, author={Como, G. and Savla, K. and Acemoglu, D. and Dahleh, M. and Frazzoli, E. and others}, journal={IEEE Transactions on Automatic Control}, volume={58}, number={2}, pages={317--332}, year={2013} } @article{savla2014robust, title={Robust network routing under cascading failures}, author={Savla, K. and Como, G. and Dahleh, M.}, journal={IEEE Transactions on Network Science and Engineering}, volume={1}, number={1}, pages={53--66}, year={2014} } @article{demarco2001phase, title={A phase transition model for cascading network failure}, author={DeMarco, C. L.}, journal={Control Systems, IEEE}, volume={21}, number={6}, pages={40--51}, year={2001}, publisher={IEEE} } @inproceedings{rantzer2009dynamic, title={Dynamic dual decomposition for distributed control}, author={Rantzer, Anders}, booktitle={American Control Conference}, pages={884--888}, year={2009}, organization={IEEE} } @book{seierstad1986optimal, title={Optimal control theory with economic applications}, author={Seierstad, Atle and Sydsaeter, Knut}, year={1986}, publisher={Elsevier North-Holland, Inc.} } @article{maschke2000energy, title={Energy-based {L}yapunov functions for forced {H}amiltonian systems with dissipation}, author={Maschke, Bernhard and Ortega, Romeo and Van Der Schaft, Arjan J}, journal={IEEE Transactions on Automatic Control}, volume={45}, number={8}, pages={1498--1502}, year={2000}, publisher={IEEE} } @article{ortega2002interconnection, title={Interconnection and damping assignment passivity-based control of port-controlled {H}amiltonian systems}, author={Ortega, Romeo and Van Der Schaft, Arjan J. and Maschke, Bernhard and Escobar, Gerardo}, journal={Automatica}, volume={38}, number={4}, pages={585--596}, year={2002}, publisher={Elsevier} } @article{duan1998note, title={A note on Hurwitz stability of matrices}, author={Duan, Guang-Ren and Patton, Ron J}, journal={Automatica}, volume=34, number=4, pages={509--511}, year=1998, publisher={Elsevier} } @book{irving2004rings, title={Rings Integers, Polynomials, and Rings: A Course in Algebra}, author={Irving, R. S.}, pages={69--93}, year={2004}, publisher={Springer} } @book{sauerpai1998powersystem, title={Power system dynamics and stability}, author={P. W. Sauer and M. A. Pai}, year={1998}, publisher={Prentice-Hall} } @article{schiffer2016survey, title={A survey on modeling of microgrids-{F}rom fundamental physics to phasors and voltage sources}, author={Schiffer, Johannes and Zonetti, Daniele and Ortega, Romeo and Stankovi{\'c}, Aleksandar M and Sezi, Tevfik and Raisch, J{\"o}rg}, journal={Automatica}, volume={74}, pages={135--150}, year={2016}, publisher={Elsevier} } @article{ahmed1982reduced, title={Reduced order modeling of synchronous machines using singular perturbation}, author={Ahmed-Zaid, S. and Sauer, P. W. and Pai, M. A. and Sarioglu, M. K.}, journal={IEEE Transactions on Circuits and Systems}, volume=29, number=11, pages={782--786}, year=1982, publisher={IEEE} } @article{naidu2002singular, title={Singular perturbations and time scales in control theory and applications: an overview}, author={Naidu, D}, journal={Dynamics of Continuous Discrete and Impulsive Systems Series B}, volume={9}, pages={233--278}, year={2002}, publisher={Watam Press} } @article{ortega2004interconnection, title={Interconnection and damping assignment passivity-based control: A survey}, author={Ortega, Romeo and Garcia-Canseco, Eloisa}, journal={European Journal of control}, volume={10}, number={5}, pages={432--450}, year={2004}, publisher={Elsevier} } @article{ortega2001putting, title={Putting energy back in control}, author={Ortega, Romeo and Van der Schaft, Arjan J and Mareels, Iven and Maschke, Bernhard}, journal={Control Systems, IEEE}, volume={21}, number={2}, pages={18--33}, year={2001}, publisher={IEEE} } @inproceedings{de2016modular, title={A modular design of incremental {L}yapunov functions for microgrid control with power sharing}, author={{De Persis}, Claudio and Monshizadeh, Nima}, booktitle={European Control Conference (ECC)}, pages={1501--1506}, year={2016}, organization={IEEE} } @inproceedings{stegink2015port, title={A port-{H}amiltonian approach to optimal frequency regulation in power grids}, author={Stegink, Tjerk W and {De Persis}, Claudio and {van der Schaft}, Arjan J}, booktitle={IEEE Conference on Decision and Control}, pages={3224--3229}, year=2015, } @article{trip2016internal, title={An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages}, author={Trip, Sebastian and B{\"u}rger, Mathias and {De Persis}, Claudio}, journal={Automatica}, volume={64}, pages={240--253}, year={2016}, publisher={Elsevier} } @book{ren2010distributed, title={Distributed coordination of multi-agent networks: emergent problems, models, and issues}, author={Ren, W. and Cao, Y.}, year={2010}, publisher={Springer Science \& Business Media} } @article{lygeros2003dynamical_LaSalle, title={Dynamical properties of hybrid automata}, author={Lygeros, John and Johansson, Karl Henrik and Simi{\'c}, Slobodan N. and Zhang, Jun and Sastry, S. Shankar}, journal={IEEE Transactions on Automatic Control}, volume=48, number=1, pages={2--17}, year=2003, publisher={IEEE} } @article{jokic2009constrained, title={On constrained steady-state regulation: dynamic {KKT} controllers}, author={Joki{\'c}, Andrej and Lazar, Mircea and Van den Bosch, Paul PJ}, journal={IEEE Transactions on Automatic Control}, volume={54}, number={9}, pages={2250--2254}, year={2009}, publisher={IEEE} } @article{galaz2003energy, title={An energy-shaping approach to the design of excitation control of synchronous generators}, author={Galaz, Martha and Ortega, Romeo and Bazanella, Alexandre S and Stankovic, Aleksandar M}, journal={Automatica}, volume={39}, number={1}, pages={111--119}, year={2003}, publisher={Elsevier} } @article{ortega2005transient, title={Transient stabilization of multimachine power systems with nontrivial transfer conductances}, author={Ortega, Romeo and Galaz, Martha and Astolfi, Alessandro and Sun, Yuanzhang and Shen, Tielong}, journal={IEEE Transactions on Automatic Control}, volume=50, number=1, pages={60--75}, year=2005, publisher={IEEE} } @article{park1929two, title={Two-reaction theory of synchronous machines generalized method of analysis-part {I}}, author={Park, Robert H}, journal={IEEE Transactions of the American Institute of Electrical Engineers}, volume=48, number=3, pages={716--727}, year=1929 } @article{cherukuri2016asymptoticcaratheodory, title={Asymptotic convergence of constrained primal--dual dynamics}, author={Cherukuri, Ashish and Mallada, Enrique and Cort{\'e}s, Jorge}, journal={Systems \& Control Letters}, volume={87}, pages={10--15}, year={2016}, publisher={Elsevier} } @inproceedings{kiani2012hierarchicalR1, title={A hierarchical transactive control architecture for renewables integration in smart grids}, author={Kiani, Abbas and Annaswamy, Anuradha}, booktitle={IEEE Conference on Decision and Control}, pages={4985--4990}, year={2012}, organization={IEEE} } @article{zhao2014design, title={Design and stability of load-side primary frequency control in power systems}, author={Zhao, Changhong and Topcu, Ufuk and Li, Na and Low, Steven}, journal={IEEE Transactions on Automatic Control}, volume={59}, number={5}, pages={1177--1189}, year={2014}, publisher={IEEE} } @inproceedings{simpson2015solvabilitydecouplingass, title={A solvability condition for reactive power flow}, author={Simpson-Porco, John W and Dorfler, Florian and Bullo, Francesco}, booktitle={IEEE Conference on Decision and Control}, pages={2013--2017}, year={2015}, organization={IEEE} } @inproceedings{mallada2014optimal, title={Optimal load-side control for frequency regulation in smart grids}, author={Mallada, Enrique and Zhao, Changhong and Low, Steven}, booktitle={Annual Allerton Conference on Communication, Control, and Computing (Allerton)}, pages={731--738}, year={2014}, organization={IEEE} } @inproceedings{stegink2016optimal, title={Optimal power dispatch in networks of high-dimensional models of synchronous machines}, author={Stegink, Tjerk W and {De Persis}, Claudio and {van der Schaft}, Arjan J}, booktitle={IEEE Conference on Decision and Control}, pages={4110--4115}, year=2016, organization={IEEE} } @inproceedings{wang2011control, title={A control perspective for centralized and distributed convex optimization}, author={Wang, Jing and Elia, Nicola}, booktitle={IEEE Conference on Decision and Control and European Control Conference}, pages={3800--3805}, year={2011}, organization={IEEE} } @inproceedings{trip2016optimal, title={Optimal frequency regulation in nonlinear structure preserving power networks including turbine dynamics: an incremental passivity approach}, author={Trip, Sebastian and {De Persis}, Claudio}, booktitle={American Control Conference}, pages={4132--4137}, year={2016}, organization={IEEE} } @inproceedings{de2016lyapunov, title={A {L}yapunov approach to control of microgrids with a network-preserved differential-algebraic model}, author={{De Persis}, Claudio and Monshizadeh, Nima and Schiffer, Johannes and D{\"o}rfler, Florian}, booktitle={IEEE Conference on Decision and Control}, pages={2595--2600}, year={2016}, } @inproceedings{zhao2016unified, title={A Unified Framework for Frequency Control and Congestion Management}, author={Zhao, Changhong and Mallada, Enrique and Low, Steven H and Bialek, Janusz W}, booktitle={Power Systems Computation Conference}, year={2016} } @article{schiffer2015stability, title={Stability and power sharing in microgrids}, author={Schiffer, Johannes}, journal={{P}h{D} thesis, {TU} {B}erlin}, year={2015} } @book{wang2006h, title={{H}-infinity Control for Nonlinear Descriptor Systems}, author={Wang, He-Sheng and Yung, Chee-Fai and Chang, Fan-Ren}, volume={326}, year={2006}, publisher={Springer Science \& Business Media} } @article{HillMareels1993StabilityDAE, title={Stability theory for differential/algebraic systems with application to power systems}, author={D. J Hill and I. MY Mareels.}, journal={Sadhana}, volume = "18", number = "5", pages = "731-747", year={1993} } @article{kokotovic1980singular, title={Singular perturbation and iterative separation of time scales}, author={Kokotovic, Petar V and Allemong, John J and Winkelman, James R and Chow, Joe H}, journal={Automatica}, volume={16}, number={1}, pages={23--33}, year={1980}, publisher={Elsevier} } @inproceedings{JS-FD:15, author = {J. Schiffer and F. D{ö}rfler}, booktitle = {{E}uropean {C}ontrol {C}onference}, date-modified = {2015-10-20 11:21:12 +0000}, funding = {ETH Zürich Funds and SNF Assistant Professor Energy Grant #160573}, keywords = {Microgrids, Distributed Control Algorithms}, note = {Submitted.}, title = {On Stability of a Distributed Averaging PI Frequency and Active Power Controlled Differential-Algebraic Power System Model}, year = 2016 } @book{khalil1996nonlinearLaSalle, title={Nonlinear systems}, author={Khalil, Hassan K}, volume={3}, year={1996}, publisher={Prentice Hall, New Jersey} } @article{khalil1996noninear, title={Noninear Systems}, author={Khalil, Hassan K}, journal={Prentice-Hall, New Jersey}, volume={2}, number={5}, pages={5--1}, year={1996} } @INPROCEEDINGS{wenarcakunifyingconf2003, author={J. T. Wen and M. Arcak}, booktitle={INFOCOM 2003. Twenty-Second Annual Joint Conference of the IEEE Computer and Communications. IEEE Societies}, title={A unifying passivity framework for network flow control}, year={2003}, volume={2}, pages={1156-1166}, keywords={optimisation;stability;telecommunication congestion control;congestion based-traffic regulation;controller optimization;controller time delay;link update laws;network flow control;passive dynamic systems;source update laws;stable flow controllers;unifying passivity framework;Aggregates;Constraint optimization;Control systems;Delay effects;Lagrangian functions;Robust control;Robust stability;Routing;Steady-state;Traffic control}, doi={10.1109/INFCOM.2003.1208952}, ISSN={0743-166X}, month={March},} @article{bacciotti2006nonpathologicalcaratheodory, title={Nonpathological Lyapunov functions and discontinuous Carath{\'e}odory systems}, author={Bacciotti, Andrea and Ceragioli, Francesca}, journal={Automatica}, volume={42}, number={3}, pages={453--458}, year={2006}, publisher={Elsevier} } @article{rockafellar1973multiplieraugmented, title={The multiplier method of {H}estenes and {P}owell applied to convex programming}, author={Rockafellar, R Tyrell}, journal={Journal of Optimization Theory and applications}, volume={12}, number={6}, pages={555--562}, year={1973}, publisher={Springer} } @article{cherukuri2017saddle, title={Saddle-point dynamics: conditions for asymptotic stability of saddle points}, author={Cherukuri, Ashish and Gharesifard, Bahman and Cortes, Jorge}, journal={SIAM Journal on Control and Optimization}, volume={55}, number={1}, pages={486--511}, year={2017}, publisher={SIAM} } @book{rudin1964principles, title={Principles of mathematical analysis}, author={Rudin, Walter}, volume={3}, year={1964}, publisher={McGraw-Hill New York} } @article{boyd2011distributed, title={Distributed optimization and statistical learning via the alternating direction method of multipliers}, author={Boyd, Stephen and Parikh, Neal and Chu, Eric and Peleato, Borja and Eckstein, Jonathan}, journal={Foundations and Trends in Machine Learning}, volume={3}, number={1}, pages={1--122}, year={2011}, publisher={Now Publishers Inc.} } @article{arjansteginkPerspectiveAnn2016, title={Perspectives in modeling for control of power networks}, author={Arjan J. {van der Schaft} and Tjerk W. Stegink}, journal={Annual Reviews in Control}, volume=41, pages={119--132}, year={2016}, publisher={Elsevier} } @article{stegink2017unifying, title={A unifying energy-based approach to stability of power grids with market dynamics}, author={Stegink, Tjerk W and {De Persis}, Claudio and {van der Schaft}, Arjan J}, journal={IEEE Transactions on Automatic Control}, volume={62}, number={6}, pages={2612--2622}, year={2017}, publisher={IEEE} } @article{bretas2003lyapunov, title={{L}yapunov function for power systems with transfer conductances: extension of the invariance principle}, author={Bretas, Newton G and Alberto, Luis FC}, journal={IEEE Transactions on Power Systems}, volume={18}, number={2}, pages={769--777}, year={2003}, publisher={IEEE} } @book{pai1989energy, title={Energy Function Analysis for Power System Stability}, author={Pai, MA}, year={1989}, publisher={Springer Science \& Business Media} } @article{fouad1981transient, title={Transient stability of a multi-machine power system Part I: Investigation of system trajectories}, author={Fouad, AA and Stanton, SE}, journal={IEEE Transactions on Power Apparatus and Systems}, number={7}, pages={3408--3416}, year={1981}, publisher={IEEE} } @article{michel1983power, title={Power system transient stability using individual machine energy functions}, author={Michel, A and Fouad, A and Vittal, Vijay}, journal={IEEE Transactions on Circuits and Systems}, volume={30}, number={5}, pages={266--276}, year={1983}, publisher={IEEE} } @article{goebel2009hybrid, title={Hybrid dynamical systems}, author={Goebel, Rafal and Sanfelice, Ricardo G and Teel, Andrew R}, journal={IEEE Control Systems}, volume={29}, number={2}, pages={28--93}, year={2009}, publisher={IEEE} } @article{willems1971direct, title={Direct method for transient stability studies in power system analysis}, author={Willems, J}, journal={IEEE Transactions on Automatic Control}, volume={16}, number={4}, pages={332--341}, year={1971}, publisher={IEEE} } @article{de2018bregman, title={Bregman storage functions for microgrid control}, author={De Persis, Claudio and Monshizadeh, Nima}, journal={IEEE Transactions on Automatic Control}, volume={63}, number={1}, pages={53--68}, year={2018}, publisher={IEEE} } @article{borenstein2002dynamic, title={Dynamic pricing, advanced metering, and demand response in electricity markets}, author={Borenstein, Severin and Jaske, Michael and Rosenfeld, Arthur}, journal={Center for the Study of Energy Markets}, year=2002 } @inproceedings{caliskan2015uses, title={Uses and abuses of the swing equation model}, author={Caliskan, Sina Y and Tabuada, Paulo}, booktitle={IEEE Conference on Decision and Control}, pages={6662--6667}, year={2015}, } @misc{samuelson1976foundations, title={Foundations of Economic Analysis. Enlarged Edition. Harvard Economic Studies No. 80}, author={Samuelson, PA}, year={1976}, publisher={Cambridge, Harvard University Press} } @article{wimmer1974inertia, title={Inertia theorems for matrices, controllability, and linear vibrations}, author={Wimmer, Harald K}, journal={Linear Algebra and its Applications}, volume={8}, number={4}, pages={337--343}, year={1974}, publisher={Elsevier} } @article{alvarado1997dynamics, title={The dynamics of power system markets}, author={Alvarado, Fernando L and others}, journal={Dept. Elect. Comput. Eng., Univ. Wisconsin, Madison, WI, Tech. Rep. PSERC-91-01}, year={1997} } @inproceedings{david2000strategic, title={Strategic bidding in competitive electricity markets: a literature survey}, author={David, A Kumar and Wen, Fushuan}, booktitle={IEEE Power Engineering Society Summer Meeting}, volume={4}, pages={2168--2173}, year={2000}, } @book{kirschen2004fundamentals, title={Fundamentals of power system economics}, author={Kirschen, Daniel S and Strbac, Goran}, year={2004}, publisher={John Wiley \& Sons} } @article{klemperer1989supply, title={Supply function equilibria in oligopoly under uncertainty}, author={Klemperer, Paul D and Meyer, Margaret A}, journal={Econometrica: Journal of the Econometric Society}, pages={1243--1277}, year={1989}, publisher={JSTOR} } @inproceedings{gupta2015equilibria, title={Equilibria in two-stage electricity markets}, author={Gupta, Abhishek and Jain, Rahul and Poolla, Kameshwar and Varaiya, Pravin}, booktitle={IEEE Conference on Decision and Control}, pages={5833--5838}, year={2015}, } @article{wu1996folk, title={Folk theorems on transmission access: Proofs and counterexamples}, author={Wu, Felix and Varaiya, Pravin and Spiller, Pablo and Oren, Shmuel}, journal={Journal of Regulatory Economics}, volume={10}, number={1}, pages={5--23}, year={1996}, publisher={Springer} } @article{rosen1965existence, title={Existence and uniqueness of equilibrium points for concave n-person games}, author={Rosen, J Ben}, journal={Econometrica: Journal of the Econometric Society}, pages={520--534}, year={1965}, publisher={JSTOR} } @article{johari2005efficiency, title={Efficiency loss in Cournot games}, author={Johari, Ramesh and Tsitsiklis, John N}, journal={Harvard University}, year={2005} } @inproceedings{ishizaki2016convex, title={Convex gradient controller design for incrementally passive systems with quadratic storage functions}, author={Ishizaki, Takayuki and Ueda, Asami and Imura, Jun-ichi}, booktitle={IEEE Conference on Decision and Control}, pages={1721--1726}, year={2016}, } @inproceedings{monshizadeh2016nonlinear, title={Nonlinear analysis of an improved swing equation}, author={Monshizadeh, Pooya and {{De Persis}}, Claudio and Monshizadeh, Nima and {van der Schaft}, Arjan J}, booktitle={IEEE Conference on Decision and Control}, pages={4116--4121}, year={2016} } @article{cherukuri2017iterative, title={Iterative bidding in electricity markets: rationality and robustness}, author={Cherukuri, Ashish and Cort{\'e}s, Jorge}, journal={arXiv preprint arXiv:1702.06505}, year=2017, note={submitted to \emph{IEEE Transactions on Control of Network Systems}} } @article{wang2017distributed, title={Distributed Frequency Control with Operational Constraints, Part I: Per-Node Power Balance}, author={Wang, Zhaojian and Liu, Feng and Low, Steven H and Zhao, Changhong and Mei, Shengwei}, journal={arXiv preprint arXiv:1702.07965}, year={2017} } @article{fox2013population, title={Population games, stable games, and passivity}, author={Fox, Michael J and Shamma, Jeff S}, journal={Games}, volume={4}, number={4}, pages={561--583}, year={2013}, publisher={Multidisciplinary Digital Publishing Institute} } @inproceedings{bose2014role, title={The role of a market maker in networked cournot competition}, author={Bose, Subhonmesh and Cai, Desmond WH and Low, Steven and Wierman, Adam}, booktitle={IEEE Conference on Decision and Control}, pages={4479--4484}, year={2014}, } @article{van2011relation, title={On the relation between port-Hamiltonian and gradient systems}, author={{van der Schaft}, Arjan J}, journal={IFAC Proceedings Volumes}, volume={44}, number={1}, pages={3321--3326}, year={2011}, publisher={Elsevier} } @inproceedings{monshizadeh2016cost, title={The cost of dishonesty on optimal distributed frequency control of power networks}, author={Monshizadeh, Nima and {De Persis}, Claudio and Simpson-Porco, John W}, booktitle={IEEE Conference on Decision and Control}, pages={873--878}, year={2016}, } @article{weitenberg2016quantifying, title={Quantifying the performance of optimal frequency regulators in the presence of intermittent communication disruptions}, author={Weitenberg, Erik and {De Persis}, Claudio and Monshizadeh, Nima}, journal={arXiv preprint arXiv:1608.03798}, year={2016} } @inproceedings{abolhassani2014network, title={Network cournot competition}, author={Abolhassani, Melika and Bateni, Mohammad Hossein and Hajiaghayi, MohammadTaghi and Mahini, Hamid and Sawant, Anshul}, booktitle={International Conference on Web and Internet Economics}, pages={15--29}, year={2014}, organization={Springer} } @inproceedings{mabrok2016passivity, title={Passivity analysis of higher order evolutionary dynamics and population games}, author={Mabrok, MA and Shamma, Jeff S}, booktitle={IEEE Conference on Decision and Control}, pages={6129--6134}, year={2016}, } @inproceedings{cole2008fast, title={Fast-converging tatonnement algorithms for one-time and ongoing market problems}, author={Cole, Richard and Fleischer, Lisa}, booktitle={Proceedings of the fortieth annual ACM symposium on Theory of computing}, pages={315--324}, year={2008}, organization={ACM} } @article{gintis2012stability, title={The stability of Walrasian general equilibrium}, author={Gintis, Herbert and Mandel, Antoine}, journal={Documents de travail du Centre d'Economie de la Sorbonne}, ISSN={1955-611X}, year={2012} } @article{hahn1962theorem, title={A theorem on non-tatonnement stability}, author={Hahn, Frank H and Negishi, Takashi}, journal={Econometrica: Journal of the Econometric Society}, pages={463--469}, year={1962}, publisher={JSTOR} } @article{hahn1982stability, title={Stability}, author={Hahn, Frank}, journal={Handbook of mathematical economics}, volume={2}, pages={745--793}, year={1982}, publisher={Elsevier} } @article{champsaur1977stability, title={Stability theorems with economic applications}, author={Champsaur, Paul and Dreze, Jacques and Henry, Claude}, journal={Econometrica: Journal of the Econometric Society}, pages={273--294}, year=1977, publisher={JSTOR} } @article{scarf1960some, title={Some examples of global instability of the competitive equilibrium}, author={Scarf, Herbert}, journal={International Economic Review}, volume=1, number=3, pages={157--172}, year=1960, publisher={JSTOR} } @article{uzawa1960walras, title={Walras' tatonnement in the theory of exchange}, author={Uzawa, Hirofumi}, journal={The Review of Economic Studies}, pages={182--194}, year=1960, publisher={JSTOR} } @inproceedings{wu2007proportional, title={Proportional response dynamics leads to market equilibrium}, author={Wu, Fang and Zhang, Li}, booktitle={Proceedings of the thirty-ninth annual ACM symposium on Theory of computing}, pages={354--363}, year=2007, organization={ACM} } @article{zhang2017distributed, title={Distributed controllers seeking {AC} optimal power flow solutions using {ADMM}}, author={Zhang, Yijian and Hong, Mingyi and Dall'Anese, Emiliano and Dhople, Sairaj and Xu, Zi}, journal={IEEE Transactions on Smart Grid}, year={2018}, publisher={IEEE}, note = {To appear}, } @inproceedings{zhao2014optimal, title={Optimal decentralized primary frequency control in power networks}, author={Zhao, Changhong and Low, Steven}, booktitle={IEEE Conference on Decision and Control}, pages={2467--2473}, year={2014}, } @inproceedings{cherukuri2016decentralized, title={Decentralized {Nash} equilibrium learning by strategic generators for economic dispatch}, author={Cherukuri, Ashish and Cort{\'e}s, Jorge}, booktitle={American Control Conference}, pages={1082--1087}, year={2016}, organization={IEEE} } @article{stoft2002power, title={Power system economics}, author={Stoft, Steven}, journal={Journal of Energy Literature}, volume={8}, pages={94--99}, year={2002}, publisher={THE OXFORD INSTITUTE FOR ENERGY STUDIES} } @article{mironchenko2016local, title={Local input-to-state stability: Characterizations and counterexamples}, author={Mironchenko, Andrii}, journal={Systems \& Control Letters}, volume={87}, pages={23--28}, year={2016}, publisher={Elsevier} } @article{dashkovskiy2010local, title={Local {ISS} of large-scale interconnections and estimates for stability regions}, author={Dashkovskiy, Sergey N and R{\"u}ffer, Bj{\"o}rn S}, journal={Systems \& Control Letters}, volume={59}, number={3}, pages={241--247}, year={2010}, publisher={Elsevier} } @article{yu2004application, title={Application of linear matrix inequalities for load frequency control with communication delays}, author={Yu, Xiaofeng and Tomsovic, Kevin}, journal={IEEE Transactions on Power Systems}, volume={19}, number={3}, pages={1508--1515}, year={2004}, } @article{dall2016photovoltaic, title={Photovoltaic inverter controllers seeking AC optimal power flow solutions}, author={Dall'Anese, Emiliano and Dhople, Sairaj V and Giannakis, Georgios B}, journal={IEEE Transactions on Power Systems}, volume={31}, number={4}, pages={2809--2823}, year={2016}, publisher={IEEE} } @article{jiang2001input, title={Input-to-state stability for discrete-time nonlinear systems}, author={Jiang, Zhong-Ping and Wang, Yuan}, journal={Automatica}, volume={37}, number={6}, pages={857--869}, year={2001}, publisher={Elsevier} } @book{van2017l2, title={L2-gain and passivity techniques in nonlinear control}, author={Van der Schaft, Arjan J}, year={2017}, publisher={Springer} } @article{bauso2014game, title={Game theory: models, numerical methods and applications}, author={Bauso, Dario and others}, journal={Foundations and Trends{\textregistered} in Systems and Control}, volume={1}, number={4}, pages={379--522}, year={2014}, publisher={Now Publishers, Inc.} } @inproceedings{anta2008self, title={Self-triggered stabilization of homogeneous control systems}, author={Anta, Adolfo and Tabuada, Paulo}, booktitle={American Control Conference}, pages={4129--4134}, year=2008, organization={IEEE} } @article{noroozi2014gronwall, title={Gronwall inequality for hybrid systems}, author={Noroozi, Navid and Ne{\v{s}}i{\'c}, Dragan and Teel, Andrew R}, journal={Automatica}, volume={50}, number={10}, pages={2718--2722}, year={2014}, publisher={Elsevier} } @article{gadjov2017passivity, title={A Passivity-Based Approach to {Nash} Equilibrium Seeking over Networks}, author={Gadjov, Dian and Pavel, Lacra}, journal={arXiv preprint arXiv:1705.02424}, year={2017} } @article{tang2017distributed, title={Distributed Coordination for a Class of Nonlinear Multi-agent Systems with Regulation Constraints}, author={Tang, Yutao and Yi, Peng}, journal={arXiv preprint arXiv:1702.01399}, year={2017} } @article{dorfler2014synchronization, title={Synchronization in complex networks of phase oscillators: A survey}, author={D{\"o}rfler, Florian and Bullo, Francesco}, journal={Automatica}, volume={50}, number={6}, pages={1539--1564}, year={2014}, publisher={Elsevier} } @article{barron2010best, title={Best response dynamics for continuous games}, author={Barron, E and Goebel, Rafal and Jensen, R}, journal={Proceedings of the American Mathematical Society}, volume={138}, number={3}, pages={1069--1083}, year={2010} } @book{fudenberg1998theory, title={The theory of learning in games}, author={Fudenberg, Drew and Levine, David K}, volume={2}, year={1998}, publisher={MIT press} } @book{bischi2009nonlinear, title={Nonlinear oligopolies: Stability and bifurcations}, author={Bischi, Gian Italo and Chiarella, Carl and Kopel, Michael and Szidarovszky, Ferenc}, year={2009}, publisher={Springer Science \& Business Media} } @article{frihauf2012nash, title={Nash equilibrium seeking in noncooperative games}, author={Frihauf, Paul and Krstic, Miroslav and Basar, Tamer}, journal={Transactions on Automatic Control}, volume={57}, number={5}, pages={1192--1207}, year={2012}, publisher={IEEE} } @article{stankovic2012distributed, title={Distributed seeking of Nash equilibria with applications to mobile sensor networks}, author={Stankovic, Milo{\v{s}} S and Johansson, Karl H and Stipanovic, Du{\v{s}}an M}, journal={Transactions on Automatic Control}, volume={57}, number={4}, pages={904--919}, year={2012}, publisher={IEEE} } @article{tabuada2007event, title={Event-triggered real-time scheduling of stabilizing control tasks}, author={Tabuada, Paulo}, journal={Transactions on Automatic Control}, volume={52}, number={9}, pages={1680--1685}, year={2007}, publisher={IEEE} } @inproceedings{heemels2012introduction, title={An introduction to event-triggered and self-triggered control}, author={Heemels, WPMH and Johansson, Karl Henrik and Tabuada, Paulo}, booktitle={IEEE Conference on Decision and Control}, pages={3270--3285}, year={2012}, organization={IEEE} } @Book{SB-LV:04, author = {S. Boyd and L. Vandenberghe}, title = {Convex Optimization}, publisher = cambridge, year = 2004, isbn = 0521833787, } @Article{FD-JWSP-FB:16-tcns, title = {Breaking the Hierarchy: Distributed Control \& Economic Optimality in Microgrids}, author = {F. D\"{o}rfler and J. W. Simpson-Porco and F. Bullo}, year = 2016, journal = tcns, volume = 3, number = 3, pages = {241-253} } @Article{TS-CDP-AJS:17-tac, author = {T. W. Stegink and C. {De Persis} and A. J. {van der Schaft}}, title = {A unifying energy-based approach to stability of power grids with market dynamics}, journal = tac, year = 2017, volume = 62, number = 6, pages = {2612-2622} } @Article{DJS-MC-AMA:16, author = {D. J. Shiltz and M. Cvetkovi\'{c} and A. M. Annaswamy}, title = {An Integrated Dynamic Market Mechanism for Real-Time Markets and Frequency Regulation}, journal = {IEEE Transactions on Sustainable Energy}, year = 2016, volume = 7, number = 2, pages = {875-885} } @book{haddad2008nonlinear, title={Nonlinear dynamical systems and control: a Lyapunov-based approach}, author={Haddad, Wassim M and Chellaboina, VijaySekhar}, year={2008}, publisher={Princeton University Press} } @article{de2017lyapunov, title={A Lyapunov redesign of coordination algorithms for cyber-physical systems}, author={{De Persis}, Claudio and Postoyan, Romain}, journal={IEEE Transactions on Automatic Control}, volume={62}, number={2}, pages={808--823}, year={2017}, publisher={IEEE} } @article{cady2015distributed, title={A distributed generation control architecture for islanded {AC} microgrids}, author={Cady, Stanton T and Dom{\'\i}nguez-Garc{\'\i}a, Alejandro D and Hadjicostis, Christoforos N}, journal={IEEE Transactions on Control Systems Technology}, volume=23, number=5, pages={1717--1735}, year=2015, publisher={IEEE} } @inproceedings{de2014lyapunov, title={Lyapunov design of event-based controllers for the rendez-vous of coupled systems}, author={{De Persis}, Claudio and Postoyan, Romain}, booktitle={21st International Symposium on Mathematical Theory of Networks and Systems (MTNS)}, year={2014} } @inproceedings{kasis2016stability, title={Stability and optimality of distributed schemes for secondary frequency regulation in power networks}, author={Kasis, Andreas and Devane, Eoin and Lestas, Ioannis}, booktitle={IEEE Conference on Decision and Control}, pages={3294--3299}, year={2016}, } @article{kasis2017stability, title={Stability and optimality of distributed secondary frequency control schemes in power networks}, author={Kasis, Andreas and Monshizadeh, Nima and Devane, Eoin and Lestas, Ioannis}, journal={IEEE Transactions on Smart Grid}, year={2017}, publisher={IEEE} } @inproceedings{tang2013game, title={Game-theoretic analysis of the nodal pricing mechanism for electricity markets}, author={Tang, Wenyuan and Jain, Rahul}, booktitle={IEEE Conference on Decision and Control}, pages={562--567}, year={2013}, } @article{yao2007two, title={Two-settlement electricity markets with price caps and Cournot generation firms}, author={Yao, Jian and Oren, Shmuel S and Adler, Ilan}, journal={european journal of operational research}, volume={181}, number={3}, pages={1279--1296}, year={2007}, publisher={Elsevier} } @article{zhang2015online, title={Online optimal generation control based on constrained distributed gradient algorithm}, author={Zhang, Wei and Liu, Wenxin and Wang, Xin and Liu, Liming and Ferrese, Frank}, journal={IEEE Transactions on Power Systems}, volume={30}, number={1}, pages={35--45}, year={2015}, publisher={IEEE} } @article{kasis2017secondary, title={Secondary frequency control with on-off load side participation in power networks}, author={Kasis, Andreas and Monshizadeh, Nima and Lestas, Ioannis}, journal={arXiv preprint arXiv:1708.09351}, year={2017} } @book{varian1978microeconomic, title={Microeconomic analysis}, author={Varian, Hal R}, number={338.5 V299m 1978}, year={1978}, publisher={WW Norton} } @article{gan2016online, title={An online gradient algorithm for optimal power flow on radial networks}, author={Gan, Lingwen and Low, Steven H}, journal={IEEE Journal on Selected Areas in Communications}, volume={34}, number={3}, pages={625--638}, year={2016}, publisher={IEEE} } @article{brogliato2005krakovskii, title={The {Krakovskii-LaSalle} invariance principle for a class of unilateral dynamical systems}, author={Brogliato, Bernard and Goeleven, Daniel}, journal={Mathematics of Control, Signals and Systems}, volume={17}, number={1}, pages={57--76}, year={2005}, publisher={Springer} } @inproceedings{weiss2017stability, title={Stability analysis for coupled synchronous generators with virtual friction}, author={Weiss, George and Venezian, Elad}, booktitle={Digital Signal Processing (DSP), 2017 22nd International Conference on}, pages={1--5}, year={2017}, organization={IEEE} } @article{richert2015robust, title={Robust distributed linear programming}, author={Richert, Dean and Cort{\'e}s, Jorge}, journal={IEEE Transactions on Automatic Control}, volume={60}, number={10}, pages={2567--2582}, year={2015}, publisher={IEEE} } @Book{TB-GJO:82, author = {T. Ba{\c s}ar and G. J. Oldser}, title = {Dynamic Noncooperative Game Theory}, publisher = {Academic Press}, year = {1982}, } @Book{DF-JT:91, author = {D. Fudenberg and J. Tirole}, title = {Game Theory}, publisher = mit, year = 1991, address = mit_add } @article{dorfler2016breaking, title={Breaking the hierarchy: Distributed control and economic optimality in microgrids}, author={D{\"o}rfler, Florian and Simpson-Porco, John W and Bullo, Francesco}, journal={IEEE Transactions on Control of Network Systems}, volume={3}, number={3}, pages={241--253}, year={2016}, } @article{li2016connecting, title={Connecting automatic generation control and economic dispatch from an optimization view}, author={Li, Na and Zhao, Changhong and Chen, Lijun}, journal={IEEE Transactions on Control of Network Systems}, volume={3}, number={3}, pages={254--264}, year={2016}, } @inproceedings{durr2011smooth, title={A smooth vector field for saddle point problems}, author={D{\"u}rr, Hans-Bernd and Ebenbauer, Christian}, booktitle={IEEE Conference on Decision and Control and European Control Conference}, pages={4654--4660}, year={2011}, } @book{hiriart2013convex, title={Convex analysis and minimization algorithms I: Fundamentals}, author={Hiriart-Urruty, Jean-Baptiste and Lemar{\'e}chal, Claude}, volume={305}, year={2013}, publisher={Springer science \& business media} } @inproceedings{ACC18-TS-AC-CDP-AS-JC, title={Integrating iterative bidding in electricity markets and frequency regulation}, author={Tjerk W. Stegink and Ashish Cherukuri and Claudio {De Persis} and Arjan J {van der Schaft} and Jorge Cort\'es}, booktitle={American Control Conference}, address={Milwaukee, Wisconsin, USA}, note={To appear}, year = 2018, } @inproceedings{PSCC18-TS-AC-CDP-AS-JC, title={Stable interconnection of continuous-time price-bidding mechanisms with power network dynamics}, author={Tjerk W. Stegink and Ashish Cherukuri and Claudio {De Persis} and Arjan J {van der Schaft} and Jorge Cort\'es}, booktitle={Power Systems Computation Conference}, address={Dublin, Ireland}, note={To appear}, year = 2018, } @article{brogliato2006equivalence, title={On the equivalence between complementarity systems, projected systems and differential inclusions}, author={Brogliato, Bernard and Daniilidis, Aris and Lemar{\'e}chal, Claude and Acary, Vincent}, journal={Systems \& Control Letters}, volume={55}, number={1}, pages={45--51}, year={2006}, publisher={Elsevier} } @inproceedings{thatte2011frequency, title={Frequency aware economic dispatch}, author={Thatte, Anupam A and Zhang, Fan and Xie, Le}, booktitle={North American Power Symposium (NAPS), 2011}, pages={1--7}, year={2011}, organization={IEEE} } @inproceedings{wasa2017differential, title={Differential game-based load frequency control for power networks and its integration with electricity market mechanisms}, author={Wasa, Yasuaki and Sakata, Kengo and Hirata, Kenji and Uchida, Kenko}, booktitle={Conference on Control Technology and Applications (CCTA) }, pages={1044--1049}, year={2017}, organization={IEEE} } @article{tee2014market, title={Market integration of distributed resources through coordinated frequency and price droop}, author={Tee, Chin Yen and Cardell, Judith B}, journal={IEEE Transactions on Smart Grid}, volume={5}, number={4}, pages={1556--1565}, year={2014}, publisher={IEEE} } @article{palensky2011demand, title={Demand side management: Demand response, intelligent energy systems, and smart loads}, author={Palensky, Peter and Dietrich, Dietmar}, journal={IEEE transactions on industrial informatics}, volume={7}, number={3}, pages={381--388}, year={2011}, publisher={IEEE} } @misc{jokic2007price, title={Price-based optimal control of electrical power systems}, author={Joki{\'c}, Andrej}, journal={Dissertation Abstracts International}, volume={68}, number={04}, year={2007} } @article{niederlander2016distributed, title={Distributed coordination for nonsmooth convex optimization via saddle-point dynamics}, author={Niederl{\"a}nder, Simon K and Cort{\'e}s, Jorge}, journal={SIAM Journal on Control and Optimization (arXiv preprint arXiv:1606.09298)}, year=2016, note={submitted} } @article{gkatzikis2013role, title={The role of aggregators in smart grid demand response markets}, author={Gkatzikis, Lazaros and Koutsopoulos, Iordanis and Salonidis, Theodoros}, journal={IEEE Journal on Selected Areas in Communications}, volume={31}, number={7}, pages={1247--1257}, year={2013}, publisher={IEEE} } @article{goebel2017stability, title={Stability and robustness for saddle-point dynamics through monotone mappings}, author={Goebel, Rafal}, journal={Systems \& Control Letters}, volume={108}, pages={16--22}, year={2017}, publisher={Elsevier} } @article{TAC17-TS-AC-CDP-AS-JC, title={Frequency-driven market mechanisms for optimal dispatch in power networks}, author={Tjerk W. Stegink and Ashish Cherukuri and Claudio {De Persis} and Arjan J {van der Schaft} and Jorge Cort\'es}, journal={IEEE Transactions on Automatic Control}, note={Submitted}, year={2017} } @article{zhaodistributed, title={Distributed Plug-and-Play Optimal Generator and Load Control for Power System Frequency Regulation}, author={Zhao, Changhong and Mallada, Enrique and Low, Steven H and Bialek, Janusz}} @article{shiltz2017integration, title = {Integration of Automatic Generation Control and Demand Response via a Dynamic Regulation Market Mechanism}, author = {Shiltz, Dylan J and Baros, Stefanos and Cvetkovi{\'c}, Milos and Annaswamy, Anuradha M}, journal = {IEEE Transactions on Control Systems Technology}, year = 2018, publisher = {IEEE}, note = {To appear} } @book{sepulchre_1997_book, title = {Constructive Nonlinear Control}, author = {Sepulchre, R. and Jankovi{\'c}, M. and Kokotovi{\'c}, P.V.}, series = {Communications and control engineering}, year = {1997}, publisher = {W.H. Freeman.} } @Article{JC:08-csm, author = {J. Cort{\'e}s}, title = {Discontinuous dynamical systems - a tutorial on solutions, nonsmooth analysis, and stability}, journal = {csm}, year = {2008}, volume = {28}, number = {3}, pages = {36-73}, } @article{van2018optimized, title={Optimized thermal-aware job scheduling and control of data centers}, author={Van Damme, Tobias and De Persis, Claudio and Tesi, Pietro}, journal={IEEE Transactions on Control Systems Technology}, year={2018}, publisher={IEEE}, } @Article{EDS-YW:96, author = {E. D. Sontag and Y. Wang}, title = {New characterizations of input-to-state stability}, journal = tac, year = 1996, volume = 41, number = 9, pages = {1283-1294} } @article{holmberg2009numerical, title={Numerical calculation of an asymmetric supply function equilibrium with capacity constraints}, author={Holmberg, P{\"a}r}, journal={European Journal of Operational Research}, volume={199}, number={1}, pages={285--295}, year={2009}, publisher={Elsevier} } @article{trip2017distributed, title={Distributed optimal Load Frequency Control with non-passive dynamics}, author={Trip, Sebastian and De Persis, Claudio}, journal={IEEE Transactions on Control of Network Systems}, year={2017}, publisher={IEEE} } @incollection{junco2011bond, title={Bond graph modeling and simulation of electrical machines}, author={Junco, Sergio and Donaire, Alejandro}, booktitle={Bond Graph Modelling of Engineering Systems}, pages={269--321}, year={2011}, publisher={Springer} } @article{winkelman1980multi, title={Multi-time-scale analysis of a power system}, author={Winkelman, James R and Chow, Joe H and Allemong, John J and Kokotovic, Petar V}, journal={Automatica}, volume={16}, number={1}, pages={35--43}, year={1980}, publisher={Elsevier} } @inproceedings{hammons1971comparisons, title={Comparisons of synchronous-machine models in the study of the transient behaviour of electrical power systems}, author={Hammons, TJ and Winning, DJ}, booktitle={Proceedings of the Institution of Electrical Engineers}, volume={118}, number={10}, pages={1442--1458}, year={1971}, organization={IET} }