Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle M Huang, RP Malhamé, PE Caines | 1915 | 2006 |
Linear stochastic systems PE Caines Society for Industrial and Applied Mathematics, 2018 | 1267 | 2018 |
Discrete-time multivariable adaptive control G Goodwin, P Ramadge, P Caines IEEE Transactions on Automatic Control 25 (3), 449-456, 1980 | 1256 | 1980 |
Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized -Nash Equilibria M Huang, PE Caines, RP Malhamé IEEE transactions on automatic control 52 (9), 1560-1571, 2007 | 1191 | 2007 |
Discrete time stochastic adaptive control GC Goodwin, PJ Ramadge, PE Caines SIAM Journal on Control and Optimization 19 (6), 829-853, 1981 | 586 | 1981 |
Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions M Huang, PE Caines, RP Malhamé 42nd IEEE international conference on decision and control (IEEE cat. No …, 2003 | 469 | 2003 |
On the hybrid optimal control problem: Theory and algorithms MS Shaikh, PE Caines IEEE Transactions on Automatic Control 52 (9), 1587-1603, 2007 | 411 | 2007 |
Asymptotic normality of prediction error estimators for approximate system models L Lennart, PE Caines Stochastics 3 (1-4), 29-46, 1980 | 311* | 1980 |
Social optima in mean field LQG control: centralized and decentralized strategies M Huang, PE Caines, RP Malhamé IEEE Transactions on Automatic Control 57 (7), 1736-1751, 2012 | 276 | 2012 |
Mean field games PE Caines Encyclopedia of systems and control, 1197-1202, 2021 | 258 | 2021 |
-Nash Mean Field Game Theory for Nonlinear Stochastic Dynamical Systems with Major and Minor Agents M Nourian, PE Caines SIAM Journal on Control and Optimization 51 (4), 3302-3331, 2013 | 240 | 2013 |
Causality analysis and multivariate autoregressive modelling with an application to supermarket sales analysis PE Caines, CW Keng, SP Sethi Journal of Economic Dynamics and Control 3, 267-298, 1981 | 213 | 1981 |
Feedback between stationary stochastic processes P Caines, C Chan IEEE Transactions on Automatic Control 20 (4), 498-508, 1975 | 208 | 1975 |
Hierarchical hybrid control systems: A lattice theoretic formulation PE Caines, YJ Wei IEEE Transactions on Automatic Control 43 (4), 501-508, 1998 | 176 | 1998 |
Graphon mean field games and their equations PE Caines, M Huang SIAM Journal on Control and Optimization 59 (6), 4373-4399, 2021 | 156* | 2021 |
On the discrete time matrix Riccati equation of optimal control PE Caines, DQ Mayne International Journal of Control 12 (5), 785-794, 1970 | 156* | 1970 |
On the optimal control of hybrid systems: Optimization of trajectories, switching times, and location schedules MS Shaikh, PE Caines Hybrid Systems: Computation and Control: 6th International Workshop, HSCC …, 2003 | 135 | 2003 |
An invariance principle in large population stochastic dynamic games M Huang, PE Caines, RP Malhamé Journal of Systems Science and Complexity 20 (2), 162-172, 2007 | 126 | 2007 |
Nash, social and centralized solutions to consensus problems via mean field control theory M Nourian, PE Caines, RP Malhame, M Huang IEEE Transactions on Automatic Control 58 (3), 639-653, 2012 | 125 | 2012 |
The hierarchical lattices of a finite machine PE Caines, YJ Wei Systems & Control Letters 25 (4), 257-263, 1995 | 120 | 1995 |