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Foguen-Tchuendom, R., Gao, S., Caines, P. E., & Huang, M. (2024). Infinite horizon LQG Graphon Mean Field Games: Explicit Nash values and local minima. Systems and Control Letters, 187, 105780 (9 pages). Lien externe
Caines, P. E., Tchuendom, R. F., Huang, M., & Gao, S. (juillet 2023). Critical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games* [Communication écrite]. 22nd IFAC World Congress, Yokohama, Japan. Publié dans IFAC-PapersOnLine, 56(2). Lien externe
Caines, P. E., Foguen Tchuendom, R., Huang, M., & Gao, S. (juillet 2023). Critical Nash Value Nodes for Control Affine Embedded Mean Field Games [Communication écrite]. 22nd World Congress of the International Federation of Automatic Control (IFAC 2023), Yokohama, Japan. Non disponible
Gao, S., Caines, P. E., & Huang, M. (2023). LQG Graphon Mean Field Games: Analysis via Graphon-Invariant Subspaces. IEEE Transactions on Automatic Control, 68(12), 7482-7497. Lien externe
Foguen Tchuendom, R., Gao, S., Huang, M., & Caines, P. E. (décembre 2022). Optimal Network Location in Infinite Horizon LQG Graphon Mean Field Games [Communication écrite]. 61st IEEE Conference on Decision and Control (CDC 2022), Cancun, Mexico. Lien externe
Foguen Tchuendom, R., Gao, S., & Caines, P. E. (septembre 2022). Stationary Cost Nodes in Infinite Horizon LQG-GMFGs [Communication écrite]. 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), Bayreuth, Germany. Publié dans IFAC-PapersOnLine, 55(30). Lien externe
Gao, S., Foguen Tchuendom, R., & Caines, P. E. (2021). Linear quadratic graphon field games. Communications in Information and Systems, 21(3), 341-369. Lien externe
Gao, S., Caines, P. E., & Huang, M. (décembre 2021). LQG Graphon Mean Field Games: Graphon Invariant Subspaces [Communication écrite]. 60th IEEE Conference on Decision and Control (CDC 2021), Austin, TX, USA. Lien externe
Gao, S., & Caines, P. E. (2021). Subspace Decomposition for Graphon LQR: Applications to VLSNs of Harmonic Oscillators. IEEE Transactions on Control of Network Systems, 8(2), 576-586. Lien externe
Gao, S., & Caines, P. E. (2020). Graphon Control of Large-Scale Networks of Linear Systems. IEEE Transactions on Automatic Control, 65(10), 4090-4105. Lien externe
Gao, S., & Caines, P. E. (décembre 2019). Optimal and Approximate Solutions to Linear Quadratic Regulation of a Class of Graphon Dynamical Systems [Communication écrite]. 58th IEEE Conference on Decision and Control (CDC 2019), Nice, France. Lien externe
Gao, S., & Caines, P. E. (décembre 2019). Spectral Representations of Graphons in Very Large Network Systems Control [Communication écrite]. 58th IEEE Conference on Decision and Control (CDC 2019), Nice, Frane. Lien externe
Gao, S., & Caines, P. E. (juillet 2018). Consensus-induced Centrality for Networks of Dynamical Systems [Communication écrite]. 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hong Kong University of Science and Technology, Hong Kong. Non disponible
Gao, S., & Caines, P. E. (décembre 2018). Graphon Linear Quadratic Regulation of Large-scale Networks of Linear Systems [Communication écrite]. 57th IEEE Conference on Decision and Control (CDC 2018), Miami Beach, FL, USA. Lien externe
Gao, S., & Caines, P. E. (juillet 2018). Graphon-LQR Control of Arbitrary Size Networks of Linear Systems [Communication écrite]. 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hong Kong University of Science and Technology, Hong Kong. Non disponible
Gao, S., & Caines, P. E. (décembre 2017). The control of arbitrary size networks of linear systems via graphon limits: An initial investigation [Communication écrite]. 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. Lien externe
Aziz, M., & Caines, P. E. (2017). A Mean Field Game Computational Methodology for Decentralized Cellular Network Optimization. IEEE Transactions on Control Systems Technology, 25(2), 563-576. Lien externe
Caines, P. E., Huang, M., & Malhamé, R. P. (2017). Mean field games. Dans Handbook of dynamic game theory (p. 345-372). Lien externe
Caines, P. E., & Kizilkale, A. C. (2017). ϵ-Nash Equilibria for Partially Observed LQG Mean Field Games with Major Player. IEEE Transactions on Automatic Control, 62(7), 3225-3234. Lien externe
Nourian, M., Caines, P. E., & Malhamé, R. P. (2014). A mean field game synthesis of initial mean consensus problems: A continuum approach for non-gaussian behavior. IEEE Transactions on Automatic Control, 59(2), 449-455. Lien externe
Nourian, M., Caines, P. E., Malhamé, R. P., & Huang, M. (2013). Nash, social and centralized solutions to consensus problems via mean field control theory. IEEE Transactions on Automatic Control, 58(3), 639-653. Lien externe
Nourian, M., Caines, P. E., Malhamé, R. P., & Huang, M. (2012). Mean field LQG control in leader-follower stochastic multi-agent systems: Likelihood ratio based adaptation. IEEE Transactions on Automatic Control, 57(11), 2801-2816. Lien externe
Huang, M., Caines, P. E., & Malhamé, R. P. (2012). Social Optima in Mean Field Lqg Control: Centralized and Decentralized Strategies. IEEE Transactions on Automatic Control, 57(7), 1736-1751. Lien externe
Nourian, M., Malhamé, R. P., Huang, M., & Caines, P. E. (2011). Mean field (NCE) formulation of estimation based leader–follower collective dynamics. International Journal of Robotics & Automation, 26(1). Lien externe
Nourian, M., Caines, P. E., & Malhamé, R. P. (août 2011). Mean Field Analysis of Controlled Cucker-Smale Type Flocking: Linear Analysis and Perturbation Equations . Dans 18th IFAC World Congress, Milano (Italy). Publié dans IFAC Proceedings Volumes, 44(1). Lien externe
Nourian, M., Caines, P. E., Malhamé, R. P., & Huang, M. (septembre 2010). A Solution to the Consensus Problem via Stochastic Mean Field Control [Communication écrite]. 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, Annecy, France. Publié dans IFAC Proceedings Volumes, 43(19). Lien externe
Ma, Z., Caines, P. E., & Malhamé, R. P. (2010). Control of Admission and Routing in Loss Networks: Hybrid Dynamic Programming Equations. IEEE Transactions on Automatic Control, 55(2), 350-366. Lien externe
Nourian, M., Caines, P. E., Malhamé, R. P., & Huang, M. (novembre 2010). Leader-Follower Cucker-Smale Type Flocking Synthesized via Mean Field Stochastic Control Theory [Communication écrite]. Brain, Body and Machine, Montréal, QC, Canada. Publié dans Advances in intelligent and soft computing, 83. Lien externe
Huang, M., Caines, P. E., & Malhamé, R. P. (2010). The NCE (Mean Field) Principle With Locality Dependent Cost Interactions. IEEE Transactions on Automatic Control, 55(12), 2799-2805. Lien externe
Nourian, M., Caines, P. E., Malhamé, R. P., & Huang, M. (septembre 2009). Derivation of Consensus Algorithm Dynamics from Mean Field Stochastic Control NCE Equations [Communication écrite]. 1st IFAC Workshop on Estimation and Control of Networked Systms (NecSys 2009), Venice, Itay. Publié dans IFAC Proceedings Volumes, 42(20). Lien externe
Caines, P. E., Ma, Z., & Malhamé, R. P. (2008). On the viscosity solutions of hybrid HJB equations arising in optimal control of loss networks. Communications in Information and Systems, 8(1), 17-38. Lien externe
Huang, M., Caines, P. E., & Malhamé, R. P. (2007). An invariance principle in large population stochastic dynamic games. Journal of Systems Science & Complexity, 20(2), 162-172. Lien externe
Caines, P. E., Huang, M., & Malhamé, R. P. (2006). Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Communications in Information and Systems, 6(3), 221-252. Lien externe
Huang, M., Malhamé, R. P., & Caines, P. E. (2005). Nash Equilibria for Large-Population Linear Stochastic Systems of Weakly Coupled Agents. Dans Analysis, Control and Optimization of Complex Dynamic Systems (p. 215-252). Lien externe
Huang, M., Caines, P. E., & Malhamé, R. P. (2004). Uplink power adjustment in wireless communication systems : a stochastic control analysis. IEEE Transactions on Automatic Control, 49(10), 1693-1708. Lien externe
Huang, M., Caines, P. E., & Malhamé, R. P. (juillet 2002). Stochastic power control for wireless systems: centralized dynamic solutions and aspects of decentralized control [Communication écrite]. 15th World Congress of the International Federation of Automatic Control, Barcelona, Spain. Lien externe