2023

S. Gao, P.E. Caines and M. Huang. 鈥淟QG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces鈥�. IEEE Transactios.on Automatic Control, June 2023. ISSN: 0018-9286, Online ISSN: 1558-2523, DOI: 10.1109/TAC.2023.3281493.

B. Sayedana, M. Afshari, P.E. Caines A. Mahajan. 鈥淩elative Almost Sure Regret Bounds for Certainty Equivalence Control of Markov Jump Systems鈥�, 62nd IEEE Conference on Decision and Control, Singapore, December, 2023, pp.6629-6634.

A. Dunyak and P.E. Caines. "Graphon Field Tracking Games with Discrete Time Q-noise", 62nd IEEE Conference on Decision and Control, Singapore, December 2023, pp. 8194-8199.

P.E. Caines, R. Foguen-Tchuendom, M. Huang and S. Gao, 鈥淐ritical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games鈥�, Invited Paper, Proc. IFAC World Congress,Yokohama, Japan, July 9-14, 2023, pp 942-947.

A. Dunyak, P.E. Caines, 鈥淟inear Stochastic Processes on Networks and Low Rank Graph Limits", 12th International Conference on Complex Networks and their Applications, Menton Riviera, France, November, 2023.

P.E. Caines, 鈥淢ean Field Games on Large Dense and Sparse Networks鈥�, 9th Canadian Meeting on System and Control Theory, University of Waterloo, 3 - 5 May 2023.

P.E. Caines, "Vertexons, Graphexons and GXMFG Systems", 2023 SIAM Conference on the Applications of Dynamical Systems, Portland, Oregon, 14-18 May 2023.

P.E. Caines, R. Foguen-Tchuendom, S. Gao, M. Huang, "Mean Field Games on Large Dense and Sparse Networks", Sophia University, Pre-IFAC Workshop on Large-Population Systems, Connected Vehicles and Optimization, Atami, Shizouka, Japan, 6 - 7 July, 2023.

P.E. Caines, "Mean Field Games on Large Sparse and Dense Networks", Canadian Mathematical Society Winter Meeting, Montreal, December 2023.

2022

Peter E Caines et al. 鈥淥n the graphon mean field game equations: Individual agent affine dynamics and mean field dependent performance functions鈥�. In: ESAIM: Control, Optimisation and Calculus of Variations 28 (2022), p. 24.

Peter Caines et al. 鈥淟attice conditional independence models and Hibi ideals鈥�. In: Transactions of the London Mathematical Society 9.1 (2022), pp. 1鈥�19.

Dena Firoozi, Ali Pakniyat, and Peter E Caines. 鈥淎 class of hybrid LQG mean field games with state-invariant switching and stopping strategies鈥�. In: Automatica 141 (2022), p. 110244.

Peter E Caines. 鈥淓mbedded vertexongraphons and embedded GMFG systems鈥�. In: 2022 IEEE 61st Conference on Decision and Control (CDC). 2022, pp. 5550鈥�5557.

Borna Sayedana et al. 鈥淐onsistency and Rate of Convergence of Switched Least Squares System Identification for Autonomous Markov Jump Linear Systems鈥�. In: 2022 IEEE 61st Conference on Decision and Control (CDC). 2022, pp. 6678鈥�6685.

Rinel Foguen-Tchuendom et al. 鈥淥ptimal network location in infinite horizon LQG graphon mean field games鈥�. In: 2022 IEEE 61st Conference on Decision and Control (CDC). 2022, pp. 5558鈥�5565.

Joao Saude and Peter E Caines. 鈥淢arkowitz Portfolio Optimization Extended Quadratic Mean-Field Games Approach鈥�. In: 2022 IEEE 61st Conference on Decision and Control (CDC). 2022, pp. 5523鈥�5528.

Borna Sayedana et al. 鈥淭hompson-Sampling Based Reinforcement Learning for Networked Control of Unknown Linear Systems鈥�. In: 2022 IEEE 61st Conference on Decision and Control (CDC). 2022, pp. 723鈥�730.

Alex Dunyak and Peter E Caines. 鈥淟inear Stochastic Graphon Systems with Q-Space Noise鈥�. In: 2022 IEEE 61st Conference on Decision and Control (CDC). 2022, pp. 3926鈥� 3932.

Rinel Foguen Tchuendom, Shuang Gao, and Peter E Caines. 鈥淪tationary Cost Nodes in Infinite Horizon LQG-GMFGs鈥�. In: IFACPapersOnLine 55.30 (2022), pp. 284鈥�289.

2021

S. Gao, R. Foguen-Tchuendom and P.E. Caines. 鈥淟inear Quadratic Graphon Field Games,鈥� Communications in Information and Systems, Vol 21. No. 3, pp 341 鈥� 369, 2021. DOI: https:// dx.doi.org/10.4310/CIS.2021.v21.n3.a2 Preprint arXiv:2006.03964.

P. E. Caines and M.Y. Huang. 鈥淕raphon Mean Field Games and Their Equations,鈥� SIAM Journal on Control and Optimization, 2021;59(6):4373-99; arXiv:2008.10216v1 [math.OC]

S. Gao and P.E. Caines. 鈥淪ubspace Decomposition for Graphon LQR: Applications to VLSNs of Harmonic Oscillators,鈥� IEEE Transactions on Control of Network Systems, vol. 8, no. 2, pp. 576鈥�586, 2021. doi: 10.1109/TCNS.2021.3058923.

R. Foguen Tchuendom, P. E. Caines and M.Y. Huang. 鈥淐ritical Nodes in Graphon Mean Field Games,鈥� 60th IEEE Conference on Decision and Control, Austin, Texas, 2021, Dec 14, pp. 166-170

S. Gao, P. E. Caines and M.Y. Huang. 鈥淟QG Graphon Mean Field Games: Graphon Invariant Subspaces,鈥� 60th IEEE Conference on Decision and Control, Austin, Texas, 2021, Dec 14, pp. 5253-5260

A. Dunyak and P. E. Caines. 鈥淟arge Scale Systems and SIR Models: a Featured Graphon Approach,鈥� 60th IEEE Conference on Decision and Control, Austin, Texas, 2021 Dec 14, pp. 6928-6933

P. E. Caines, R. Kotiuga, P. Griffith, G. Hermann, et. al. 鈥淢emorial for Robert Hermann,鈥� Notices of the American Mathematical Society 68(09):1, October 2021. DOI: 10.1090/noti2359,

2020

S. Gao and P. E. Caines, "Graphon Control of Large-Scale Networks of Linear Systems", IEEE Transactions on Automatic Control, Oct., 2020, Vol. 65, No. 10, pp. 4090-4105

P.E. Caines and D. Levanony, 'On Bounded Solutions of Linear SDEs Diven by Convergent Dynamics Matrix Processes with Hurwitz Limits', Stochastics, 2020.

D. Firoozi, and P. E. Caines, "epsilon-Nash Equilibria for Major-Minor LQG Mean Field Games with Partial Observations of All Agents", IEEE Trans.on Automatic Control, 2020 July. On-line: DOI: 10.1109/TAC.2020.3010129

D. Firoozi, S. Jaimungal and P. E. Caines, "Convex Analysis for LQG Systems with Applications to Major-Minor LQG Mean-Field Game Systems", Systems & Control Letters, 2020, vol 142, pp 104734

A. Pakniyat and P.E. Caines, "On the Hybrid Minimum Principle: The Hamiltonian and Adjoint Boundary Conditions", IEEE Transactions on Automatic Control, May, 2020, DOI: 10.1109/TAC.2020.2992450.

P.E. Caines, "Mean Field Game Theory: A Tractable Methodology for Large Population Problems", SIAM News, April, 2020, pp 5-6

R. Foguen Tchuendom, P. E. Caines and M.Y. Huang, "On the Master Equation for Linear Quadratic Graphon Mean Field Games", Proceedings of the 59th IEEE Conference on Decision and Control, Jeju Island, Republic of Korea, December, 2020, pp. 1026-1031

2019

P.E. Caines, D. Ho, and Q.Song. "The density evolution of the killed McKean鈥揤lasov process." Stochastics 2019, pp 1-16.

N. Sen and P.E. Caines, 鈥淢ean Field Game Theory for Agents with Individual-State Partial Observations鈥�, SIAM Journal on Control and Optimization, 57(3), June 2019, pp 2064-2091 math

P.E. Caines and D. Levanony, 鈥淪tochastic 蔚-Optimal LQ Adaptation: An Alternating Controls Policy鈥�, SIAM Journal on Control and Optimization, 57(2), 2019, pp 1094 - 1126

P. E. Caines, 鈥淢ean Field Games鈥�, Encyclopedia of Systems and Control, Eds. T. Samad and J. Ballieul (updated), Springer-Verlag, London, 2019

D. Firoozi and P. E. Caines, 鈥淏elief Estimation by Agents in Major Minor LQG Mean Field Games鈥�. Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, December, 2019, pp. 1615-1622.

S. Gao and P. E. Caines, 鈥淥ptimal and Approximate Solutions to Linear Quadratic Regulation of a Class of Graphon Dynamical Systems鈥�. Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, December, 2019 pp. 8359- 8365

S. Gao and P. E. Caines, 鈥淪pectral Representations of Graphons in Very Large Network Systems鈥�. Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, December, 2019, pp. 5068- 5075

P. E. Caines and M.Y. Huang, 鈥淕raphon Mean Field Games and the GMFG Equations: $epsilon$-Nash Equilibria鈥�. Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, December, 2019. pp. 286-292. (Also published as a "Cahier du GERAD": G-2019-81, November, 2019.)

R. Foguen, R.P. Malheme and P. E. Caines , 鈥淎 Quantilized Mean Field Game Approach To Energy Pricing With Application To Fleets Of Plug-In Electric Vehicles鈥�. Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, December, 2019, pp. 299-304

2018

鈥淟inear Stochastic Systems鈥� by P.E.Caines, originally published by John Wiley, 1988, republished in May, 2018, by the Society for Industrial and Applied Mathematics in the Classics in Applied Mathematics Series. Quebec City, Quebec, Canada, September 2017.

D. Firoozi and P. E. Caines, 鈥淢ean Field Game Systems with Common and Latent Processes鈥� , Proceedings of the 57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December, 2018, pp 5500-5505

H. Layeghi and P. E. Caines, 鈥� Stability of Receding Horizon Control with Smooth Value Functions, 鈥� Proceedings of the 57th IEEE Confer-ence on Decision and Control, Miami Beach, FL, USA, December, 2018, pp 4295 -4300

P. E. Caines and M.Y. Huang, 鈥� Graphon Mean Field Games and the GMFG Equations, 鈥� Proceedings of the 57th IEEE Conference on Deci-sion and Control, Miami Beach, FL, USA, December, 2018, pp 4129- 4134

S. Gao and P. E. Caines, 鈥淕raphon Linear Quadratic Regulation of Large-scale Networks of Linear Systems, 鈥� Proceedings of the 57th IEEE Conference on Decision and Control, Miami Beach, FL, December, 2018, USA, pp 5892-5897

D. Firoozi, A. Pakniyat and P. E. Caines, 鈥淎 Hybrid Optimal Control Approach to Mean Field Games with Switching and Stopping Strate-gies鈥� Presented at the 18th International Symposium on Dynamic Games and Applications Grenoble, France, July 9 12, 2018

S. Gao and P. E. Caines, 鈥淕raphon-LQR Control of Arbitrary Size Net-works of Linear Systems.鈥� The 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, July 16-20, 2018, pp. 120 127

S. Gao and P. E. Caines, 鈥淐onsensus-induced Centrality for Networks of Dynamical Systems鈥�. The 23rd International Symposium on Mathe-matical Theory of Networks and Systems, Hong Kong, China, July 16-20, 2018, pp. 769 775

S. Gao and P. E. Caines, 鈥淎 Control and Regulation Methodology for Large-scale Networks of Linear Dynamical Systems via Graphon Lim-its鈥�. The International School and Conference on Network Science, Paris, France, June 11-15, 2018

S. Gao and P. E. Caines, 鈥淐onsensus-induced Centrality Measure on Multi-agent Networks.鈥� The International School and Conference on Network Science, Paris, France, June 11-15, 2018

2017

D. Firoozi, and P. E. Caines. 鈥淭he Execution Problem in Finance with Major and Minor Traders: A Mean Field Game Formulation鈥�, Advances in Dynamic and Mean Field Games, Annals of the International Society of Dynamic Games, 15. J. Apaloo, B. Viscolani (eds.), 2017, pp. 107 - 130

P.E. Caines, Contribution in 鈥淪ystems and Control for the future of humanity, research agenda: Current and future roles, impact and grand challenges鈥�, Annual Reviews in Automatic Control, 43, 2017, pp. 1~-~64

A.Pakniyat and P. E. Caines, 鈥淥n the Minimum Principle and Dynamic Programming for Classical and Hybrid Control Systems鈥�, IEEE Trans.on Automatic Control Sept. 2017, Volume: 62, No. 9, pp 4347-4362

P. E. Caines and A.C. Kizilkale, "epsilon-Nash Equilibria for Partially Observed LQG Mean Field Games with Major Player', IEEE Trans. on Automatic Control,July, 2017, Vol 62, no.7 pp. 3225-3234

M. Helwa and P. E. Caines, 鈥淚n-Block Controllability of Affine Systems on Polytopes鈥�, IEEE Trans. on Automatic Control, June, 2017, Vol 62, No. 6, pp. 2950-2957

A. Pakniyat and P.E. Caines, 鈥淗ybrid Optimal Control of an Electric Vehicle with a Dual-Planetary Transmission鈥�, Nonlinear Analysis - Hybrid Systems, 2017, Vol 25, pp. 263 - 282

M. Aziz and P. E. Caines, 鈥淎 Mean Field Games Computational Methodology for Decentralized Cellular Network Optimization,鈥� IEEE Trans. on Control Systems Technology, March, 2017, pp. 563 -576 (on line, 2016)

P.E. Caines, M.Y. Huang and Roland Malhame', 鈥淢ean Field Games鈥�, Springer Handbook on Dynamic Game Theory, Eds. T. Basar, G. Zaccour, On line 2 June 2017: SpringerLink. doi:10.1007 978-3-319-27335-8 7-1

D. Firoozi and P. E. Caines, 鈥� An Optimal Execution Problem in Finance Targeting the Market Trading Speed: an MFG Formulation鈥�, 56th IEEE Conference on Decision and Control, Melbourne, Australia, December, 2017, pp 7 - 14

D. Firoozi, A. Pakniyat and P. E. Caines, 鈥淎 Mean Field Game - Hybrid Systems Approach to Optimal Execution Problems in Finance with Stopping Times鈥�, 56th IEEE Conference on Decision and Control, Melbourne, Australia, December, 2017, pp 3144 - 3151

S. Gao and P. E. Caines, 鈥淭he Control of Arbitrary Size Networks of Linear Systems via Graphon Limits: An Initial Investigation鈥�, 56th IEEE Conference on Decision and Control, Melbourne, Australia, December, 2017, pp 1052 - 1057

D. Firoozi and P. E. Caines, 鈥淎n Optimal Execution Problem in Finance with Acquisition and Liquidation Objectives: an MFG Formulation鈥�, IFAC World Congress, Toulouse, July 2017. IFAC-PapersOnLine, Volume 50, Issue 1, 2017, Pages 4960-4967, ISSN 2405-8963,

A. Pakniyat, and P. E. Caines, 鈥淎 Class of Linear Quadratic Gaussian Hybrid Optimal Control Problems with Realization鈥揑ndependent Riccati Equations鈥�, IFAC World Congress, Toulouse, July 2017. IFAC-PapersOnLine, Volume 50, Issue 1, 2017, Pages 2205-2210, ISSN 2405-8963,

S. Gao and P. E. Caines, 鈥淢inimum Energy Control of Arbitrary Size Networks of Linear Systems via Graphon Limits鈥�, SIAM Workshop on Network Science, Pittsburgh, PA, USA, July 13-14, 2017

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