Peter E. Caines
BackPublications
Cahiers du GERAD
Oct 2024
Peter E. Caines and Minyi Huang
For sequences of networks
embedded in the unit cube \([0, 1]^m\),
(weak) measure limits of sequences of empirical measures
of vertex densities (vertexon...
Oct 2024
Alex Dunyak and Peter E. Caines
Linear quadratic games on very large dense networks are modelled with discrete time linear quadratic graphon field games with Q-noise. In such a game, the ag...
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Sep 2024
Minyi Huang and Peter E. Caines
The solution of the graphon mean field game equation (GMFG) is characterized by an HJB equation and an FPK equation coupled via a graphon mean field. An a...
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Sep 2024
Alex Dunyak and Peter E. Caines
The modelling of linear quadratic Gaussian optimal control problems on large complex networks is intractable computationally. Graphon theory provides an appr...
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Feb 2023
In this paper, we investigate the problem of system identification for autonomous Markov jump linear systems (MJS) with complete state observations. We prop...
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Nov 2019
Peter E. Caines and Minyi Huang
Very large networks linking dynamical agents are now ubiquitous and the need to analyse, design and control them is evident. The emergence of the graphon the...
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Nov 2019
Shuang Gao and Peter E. Caines
Graphon-based control has recently been proposed and developed to solve control problems for dynamical systems on networks which are very large or growing w...
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Nov 2019
Shuang Gao and Peter E. Caines
In this paper we study the linear quadratic regulation (LQR) problem for dynamical systems coupled over large-scale networks and obtain locally computable l...
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Nov 2018
The paper combines two major contemporary systems and control methodologies to obtain a unique \(\epsilon\)-Nash equilibrium for optimal execution problem...
Sep 2017
Dena Firoozi and Peter E. Caines
Partially observed major minor LQG mean field game theory is applied to an optimal execution problem in finance; following standard financial models, control...
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Jan 2017
Dena Firoozi and Peter E. Caines
Partially observed Mean Field Game (PO MFG) theory was introduced and developed in (Caines and Kizilkale, 2013, 2014, Şen and Caines 2014, 2015), where it i...
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Nov 2015
Ali Pakniyat and Peter E. Caines
A class of hybrid systems with both autonomous and controlled switchings and jumps is considered where switching manifolds corresponding to autonomous switch...
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Oct 2010
The computational intractability of the dynamic programming (DP) equations associated with optimal admission and routing in stochastic loss networks of any n...
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Jul 2007
In Z. Ma, P.E. Caines, and R.P. Malhamé, ``Control of Loss Network Systems: Call Admission and Routing Control", (submitted to <i>SIAM J. Control...
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Jul 2007
In this paper the call admission control (CAC) and routing control (RC) problems for loss network systems are studied as optimal stochastic control (OSC) pr...
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Oct 2006
We consider stochastic dynamic games in large population conditions where multiclass agents are weakly coupled via their individual dynamics and costs. We a...
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Sep 1997
Optimal control problems for linear stochastic continuous time systems are considered, where the time domain is decomposed into a finite set of <i>N</i> dis...
BibTeX referenceArticles
Dec 2024
Rinel Foguen Tchuendom, Roland P. Malhamé, and Peter E. Caines
Automatica, 170, Paper no: 111878, 2024
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Jun 2024
Borna Sayedana, Mohammad Afshari, Peter E. Caines, and Aditya Mahajan
IEEE Transactions on Automatic Control, 69(6), 3952–3959, 2024
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May 2024
Rinel Foguen Tchuendom, Shuang Gao, Peter E. Caines, and Minyi Huang
Systems & Control Letters, 187, Paper no: 105780, 2024
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Mar 2024
Ali Pakniyat and Peter E. Caines
Mathematics of Control, Signals, and Systems, 21–70, 2024
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Dec 2023
Shuang Gao, Peter E. Caines, and Minyi Huang
IEEE Transactions on Automatic Control, 68(12), 7482–7497, 2023
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Dec 2022
Peter E. Caines, Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, and Henry Wynn
Transactions of the London Mathematical Society, 9(1), 1–19, 2022
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Jul 2022
Dena Firoozi, Ali Pakniyat, and Peter E. Caines
Automatica, 141, Paper no: 110244, 2022
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May 2022
Peter E. Caines, Daniel W.C. Ho, Minyi Huang, Jiamin Jian, and Qingshuo Song
ESAIM: Control, Optimisation and Calculus of Variations, 28, Paper no: 24, 2022
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Nov 2021
Peter E. Caines and Minyi Huang
SIAM Journal on Control and Optimization, 59(6), 4373–4399, 2021
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Oct 2021
Peter E. Caines, Phillip Griffiths, Gabrielle Hermann, P. Robert Kotiuga, Arthur J. Krener, Emma Previato, Alan Weinstein, and Peter Woit
Notices of the American Mathematical Society, 68(9), 1530–1539, 2021
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Sep 2021
Shuang Gao, Rinel Foguen Tchuendom, and Peter E. Caines
Communications in Information and Systems (CIS), 21(3), 341–369, 2021
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Aug 2021
On bounded solutions of linear SDEs driven by convergent system matrix processes with Hurwitz limits
Peter E. Caines and David Levanony
Stochastics, 93(6), 857–867, 2021
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Jun 2021
Dena Firoozi and Peter E. Caines
IEEE Transactions on Automatic Control, 66(6), 2778 –2786, 2021
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Jun 2021
Shuang Gao and Peter E. Caines
IEEE Transactions on Control of Network Systems, 8(2), 576–586, 2021
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Mar 2021
Ali Pakniyat and Peter E. Caines
IEEE Transactions on Automatic Control, 66(3), 1246–1253, 2021
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Oct 2020
Shuang Gao and Peter E. Caines
IEEE Transactions on Automatic Control, 65(10), 4090–4105, 2020
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Aug 2020
Dena Firoozi, Sebastian Jaimungal, and Peter E. Caines
Systems & Control Letters, 142, 104734, 2020
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May 2020
Peter E. Caines, Daniel W.C. Ho, and Qingshuo Song
Stochastics, 92(4), 642–657, 2020
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Apr 2020
Peter E. Caines
SIAM News, 53(3), 5–6, 2020
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Jun 2019
Nevroz Sen and Peter E. Caines
SIAM Journal on Control and Optimization, 57(3), 2064–2091, 2019
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Mar 2019
Peter E. Caines and David Levanony
SIAM Journal on Control and Optimization, 57(2), 1094–1126, 2019
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Sep 2017
Ali Pakniyat and Peter E. Caines
IEEE Transactions on Automatic Control, 62(9), 4347–4362, 2017
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Aug 2017
Ali Pakniyat and Peter E. Caines
Nonlinear Analysis: Hybrid Systems, 25, 263–282, 2017
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Jul 2017
Peter E. Caines and Arman C. Kizilkale
IEEE Transactions on Automatic Control, 62(7), 3225–3234, 2017
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Jun 2017
Mohamed Helwa and Peter E. Caines
IEEE Transactions on Automatic Control, 62(6), 2950–2957, 2017
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Apr 2017
Peter E. Caines
Annual Reviews in Control, 43, 1–64, 2017
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Mar 2017
Mohamad Aziz and Peter E. Caines
IEEE Transactions on Control Systems Technology, 25(2), 563–576, 2017
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Dec 2016
Nevroz Sen and Peter E. Caines
SIAM Journal on Control and Optimization, 54(6), 3174–3224, 2016
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Jan 2016
Nevroz Sen and Peter E. Caines
SIAM Journal on Control and Optimization, 54(1), 153–174, 2016
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Jul 2015
Dmitry Gromov and Peter E. Caines
IET Control Theory & Applications, 9(11), 1629–1636, 2015
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Feb 2014
Mojtaba Nourian, Peter E. Caines, and Roland P. Malhamé
IEEE Transactions on Automatic Control, 59(2), 449–455, 2014
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Aug 2013
Mojtaba Nourian and Peter E. Caines
SIAM Journal on Control and Optimization, 51(4), 3302–3331, 2013
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Aug 2013
Farzin Taringoo and Peter E. Caines
SIAM Journal on Control and Optimization, 51(4), 3127–3153, 2013
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Aug 2013
B. Passenberg, Peter E. Caines, M. Leibold, O. Stursberg, and M. Buss
IEEE Transactions on Automatic Control, 58(8), 2131–2136, 2013
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Feb 2013
Peng Jia and Peter E. Caines
IEEE Transactions on Automatic Control, 58(2), 529–534, 2013
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Jan 2013
Mean field stochastic adaptive control
Arman C. Kizilkale and Peter E. Caines
IEEE Transactions on Automatic Control, 58(4), 905–920, 2013
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Jan 2013
Nash, social and centralized solutions to consensus problems via mean field control theory
Mojtaba Nourian, Peter E. Caines, Roland P. Malhamé, and Minyi Huang
IEEE Transactions on Automatic Control, 58(3), 639–653, 2013
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Jan 2012
Mean field LQG control in leader-follower stochastic multi-agent systems: Likelihood ratio based adaptation
Mojtaba Nourian, Peter E. Caines, Roland P. Malhamé, and Minyi Huang
IEEE Transactions on Automatic Control, 57(11), 2801–2816, 2012
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Jan 2012
On the continuity of optimal controls and value functions with respect to initial conditions
Stefan Ng and Peter E. Caines
Systems and Control Letters, 61, 1294–1298, 2012
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Jan 2012
Social optima in mean field LQG control: Centralized and decentralized strategies
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
IEEE Transactions on Automatic Control, 57(7), 1736–1751, 2012
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Jan 2011
Gradient geodesic and Newton geodesic HMP algorithms for the optimization of hybrid systems
Farzin Taringoo and Peter E. Caines
Annual Reviews in Control, 35(2), 187–198, 2011
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Jan 2011
Mean field (NCE) formulation of estimation based leader-follower collective motion
Mojtaba Nourian, Roland P. Malhamé, Minyi Huang, and Peter E. Caines
International Journal of Robotics and Automation, 26(1), 120–129, 2011
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Jan 2010
Analysis of quantized double auctions with application to competitive electricity markets
Peng Jia and Peter E. Caines
INFOR, Special Issue on Game Theory in Energy, 48(4), 239–250, 2010
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Jan 2010
Control of admission and routing in loss networks: Hybrid-dynamic programming equations
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
IEEE Transactions on Automatic Control, 55(2), 350–366, 2010
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Jan 2010
The NCE (mean field) principle with locality dependent cost interactions
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
IEEE Transactions on Automatic Control, 55(12), 2799–2804, 2010
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Jan 2008
On the viscosity solutions of hybrid HJB equations arising in loss network system control
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
Communications in Information and Systems, 8(1), 17–38, 2008
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Jan 2007
A stochastic approximation approach to the power control problem
Huanshui Zhang, Weiyan Ge, Wing Shing Wong, and Peter E. Caines
IEEE Transactions on Communications, 55(5), 878–886, 2007
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Jan 2007
An invariance principle in large population stochastic dynamic games
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
Journal of Systems Science and Complexity, 20(2), 162–172, 2007
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Jan 2007
Large population cost-coupled LQG problems with non-uniform agents: Individual-mass behaviour and decentralized epsilon - Nash equilibria
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
IEEE Transactions on Automatic Control, 52(9), 1560–1571, 2007
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Jan 2007
On the hybrid optimal control problem: Theory and algorithms'
Mohammad Shahid Shaikh and Peter E. Caines
IEEE Transactions on Automatic Control, 52(9), 1587–1603, 2007
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Jan 2007
On the supervisory control of multi-agent product systems: Controllability properties
I. Romanovski and Peter E. Caines
Systems and Control Letters, 56(2), 113–121, 2007
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Jan 2006
Large population stochastic dynamic games: Closed loop McKean-Vlasov systems and the Nash certainty equivalence principle
Minyi Huang, Roland P. Malhamé, and Peter E. Caines
Special issue in honour of the 65th birthday of Tyrone Duncan, 6(3), 221–252, 2006
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Jan 2006
On the supervisory control of multi-agent product systems
I. Romanovski and Peter E. Caines
IEEE Transactions on Automatic Control, 51(5), 794–799, 2006
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Jan 2005
Computationally tractable stochastic power control laws in wireless communications
Minyi Huang, Roland P. Malhamé, and Peter E. Caines
IEEE Transactions on Automatic Control, 50(2), 263–268, 2005
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Jan 2005
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
SIAM Journal on Control and Optimization, 44(1), 367–387, 2005
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Jan 2004
Uplink power adjustment in wireless communication systems: A stochastic-control analysis
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
IEEE Transactions on Automatic Control, 49(10), 1693–1708, 2004
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Jan 2003
On the global controllability of nonlinear systems: Fountains, recurrence, and applications to Hamiltonian systems
Peter E. Caines and E.S. Lemch
SIAM Journal on Control and Optimization, 41(5), 1532–1553, 2003
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Books
Dec 2024
Jun 2018
Book chapters
Jan 2019
Mean field games
Peter E. Caines
T. Samad, J. Ballieul (eds.), Encyclopedia of Systems and Control, Springer-Verlag, London, 2019
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Jul 2017
Dena Firoozi and Peter E. Caines
Apaloo J., Viscolani B. (eds), Advances in Dynamic and Mean Field Games. ISDG 2016, Annals of the International Society of Dynamic Games, vol. 15, Birkhäuser, Cham, 107–130, 2017
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Apr 2017
Peter E. Caines, Minyi Huang, and Roland P. Malhamé
T. Basar, G. Zaccour (eds.), Handbook of Dynamic Game Theory, Springer, 1–28, 2017
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Jan 2014
Peter E. Caines
J. Baillieul, T. Samad (eds.), Encyclopedia of Systems and Control, Springer, Berlin, 101–106, 2014
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Jan 2010
Mojtaba Nourian, Peter E. Caines, Roland P. Malhamé, and Minyi Huang
J. Angeles et al. (eds.), Brain, Body and Machines, Vol. 83, Springer, 283–298, 2010
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Jan 2007
A hybrid bellman equation for bimodal systems. Hybrid systems: Computation and control
Peter E. Caines, Magnus Egerstedt, Roland P. Malhamé, and Angela Schöllig
Hybrid Systems: Computation and Control, LNCS 4416, 656–659, 2007
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Jan 2007
Bayes nets of time series: Stochastic realizations and projections
Peter E. Caines, R. Deardon, and H.P. Wynn
L. Pronzato, A.A. Zhigljavsky (eds.), Proceedings of the Workshop on Optimum Design and Related Statistical Issues, 2007
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Jan 2006
Large population stochastic dynamic games: The Nash certainty equivalence principle and adaptation
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
T. Glad, G. Hendeby (eds.), Forever Ljung in System Identification, 35–60, 2006
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Jan 2005
Nash equilibria for large-population linear stochastic systems with weakly coupled agents
Minyi Huang, Roland P. Malhamé, and Peter E. Caines
Eds Boukas, EK & Malhamé, RP, Analysis, Control and Optimization of Complex Dynamic Systems, GERAD 25th Anniversary Series, Springer, 215–252, 2005
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Proceedings
Dec 2024
Asymptotic normality of cumulative cost in linear quadratic regulators
Borna Sayedana, Aditya Mahajan, and Peter E. Caines
To appear in: 2024 63rd IEEE Conference on Decision and Control (CDC), Milan, Italy, 2024
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Jul 2024
Peter E. Caines and Minyi Huang
2024 American Control Conference (ACC), Toronto, ON, Canada, 4230–4235, 2024
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Jul 2024
Alex Dunyak and Peter E. Caines
2024 American Control Conference (ACC), Toronto, ON, Canada, 5219–5225, 2024
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Dec 2023
Alex Dunyak and Peter E. Caines
2023 62nd IEEE Conference on Decision and Control (CDC), Singapore, 8194–8199, 2023
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Dec 2023
Borna Sayedana, Mohammad Afshari, Peter E. Caines, and Aditya Mahajan
2023 62nd IEEE Conference on Decision and Control (CDC), Singapore, 6629–6634, 2023
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Jul 2023
Critical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games
Peter E. Caines, Rinel Foguen Tchuendom, Minyi Huang, and Shuang Gao
Proc. IFACWorld Congress, Yokohama, Japan, 942–947, 2023
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Dec 2022
Rinel Foguen Tchuendom, Shuang Gao, Minyi Huang, and Peter E. Caines
2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 5558–5565, 2022
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Dec 2022
Borna Sayedana, Mohammad Afshari, Peter E. Caines, and Aditya Mahajan
2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 2022
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Dec 2022
Borna Sayedana, Mohammad Afshari, Peter E. Caines, and Aditya Mahajan
2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 2022
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Dec 2022
Peter E. Caines
2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 5550–5557, 2022
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Dec 2022
Joao Saude and Peter E. Caines
2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 5523–5528, 2022
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Dec 2022
Alex Dunyak and Peter E. Caines
2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 3926–3932, 2022
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Nov 2022
Rinel Foguen Tchuendom, Shuang Gao, and Peter E. Caines
IFAC-PapersOnLine, 25th IFAC Symposium on Mathematical Theory of Networks and Systems MTNS 2022, 55(30), 284–289, 2022
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Jun 2022
Consistency and rate of convergence of switched least squares estimator for autonomos switched linear systems
Borna Sayedana, Mohammad Afshari, Peter E. Caines, and Aditya Mahajan
Conference on Reinforcement Learning and Decision Making (RLDM), Providence, USA, 2022
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Dec 2021
Shuang Gao, Peter E. Caines, and Minyi Huang
2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, United States, 5253–5260, 2021
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Dec 2021
Rinel Foguen Tchuendom, Peter E. Caines, and Minyi Huang
2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, United States, 166–170, 2021
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Dec 2021
Alex Dunyak and Peter E. Caines
2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 6928–6933, 2021
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Dec 2020
Rinel Foguen Tchuendom, Peter E. Caines, and Minyi Huang
2020 59th IEEE Conference on Decision and Control (CDC), Jeju Island, Korea, 1026–1031, 2020
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Dec 2019
Rinel Foguen Tchuendom, Roland P. Malhamé, and Peter E. Caines
IEEE 58th Conference on decision and control, Nice, France, 299–304, 2019
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Dec 2019
Dena Firoozi and Peter E. Caines
IEEE 58th Conference on decision and control, Nice, France, 1615–1622, 2019
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Dec 2019
Peter E. Caines and Minyi Huang
IEEE 58th Conference on decision and control, Nice, France, 286–292, 2019
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Dec 2019
Shuang Gao and Peter E. Caines
Proceedings of the 58th IEEE Conference on Decision and Control (CDC), Nice, France, 8359–8365, 2019
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Dec 2019
Shuang Gao and Peter E. Caines
Proceedings of the 58th IEEE Conference on Decision and Control (CDC), Nice, France, 5068–5075, 2019
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Dec 2018
Shuang Gao and Peter E. Caines
57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, 5892–5897, 2018
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Dec 2018
Peter E. Caines and Minyi Huang
2018 IEEE Conference on Decision and Control (CDC), Miami Beach, USA, 4129–4134, 2018
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Dec 2018
Hamed Layeghi and Peter E. Caines
2018 IEEE Conference on Decision and Control (CDC), Miami Beach, USA, 4295–4300, 2018
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Dec 2018
Dena Firoozi, Sebastian Jaimungal, and Peter E. Caines
2018 IEEE Conference on Decision and Control (CDC), Miami Beach, USA, 5500–5505, 2018
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Jul 2018
Consensus-induced centrality for networks of dynamical systems
Shuang Gao and Peter E. Caines
23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, 769–775, 2018
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Jul 2018
Graphon-LQR control of arbitrary size networks of linear systems
Shuang Gao and Peter E. Caines
23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, 120–127, 2018
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Dec 2017
Dena Firoozi and Peter E. Caines
56th IEEE Conference on Decision and Control, Melbourne, Australia, 7–14, 2017
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Dec 2017
Dena Firoozi, Ali Pakniyat, and Peter E. Caines
56th IEEE Conference on Decision and Control, Melbourne, Australia, 3144–3151, 2017
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Dec 2017
Shuang Gao and Peter E. Caines
56th IEEE Conference on Decision and Control, Melbourne, Australia, 1052–1057, 2017
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Jul 2017
Jul 2017
Jul 2017
Minimum energy control of arbitrary size networks of linear systems via graphon limits
Shuang Gao and Peter E. Caines
SIAM Workshop on Network Science, Pittsburgh, USA, 2017
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Jun 2017
The control of arbitrary size networks of linear systems via graphon limits
Shuang Gao and Peter E. Caines
Symposium of Controlling Complex Networks, Indianapolis, USA, 2017
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Dec 2016
Nevroz Sen and Peter E. Caines
2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, USA, 6105–6110, 2016
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Dec 2016
Ali Pakniyat and Peter E. Caines
2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, USA, 1139–1144, 2016
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Dec 2016
Mean Field Game epsilon-Nash equilibria for partially observed optimal execution problems in finance
Dena Firoozi and Peter E. Caines
2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, USA, 268–275, 2016
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Sep 2016
The execution problem in finance: A partially observed mean field game formulation
Peter E. Caines and Dena Firoozi
AMS Fall Meeting, Bowdoin College, Brunswick, USA, 2016
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Jul 2016
Nevroz Sen and Peter E. Caines
2016 American Control Conference (ACC), Boston, USA, 4681–4686, 2016
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Jul 2016
The execution problem in finance: A mean field game formulation
Dena Firoozi and Peter E. Caines
17th International Symposium on Dynamic Games and Applications, Urbino, Italie, 2016
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Jul 2016
Mean field game theory: The case of agents with partial observations on their individual states
Nevroz Sen and Peter E. Caines
17th International Symposium on Dynamic Games and Applications, Urbino, Italie, 2016
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Dec 2015
Dena Firoozi and Peter E. Caines
2015 IEEE 54th Annual Conference on Decision and Control (CDC), Osaka, Japon, 4430–4437, 2015
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Dec 2015
Ali Pakniyat and Peter E. Caines
2015 IEEE 54th Annual Conference on Decision and Control (CDC), Osaka, Japon, 2567–2573, 2015
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Dec 2015
Nevroz Sen and Peter E. Caines
2015 IEEE 54th Annual Conference on Decision and Control (CDC), Osaka, Japon, 1130–1135, 2015
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Dec 2015
Mohamed Helwa and Peter E. Caines
2015 IEEE 54th Annual Conference on Decision and Control (CDC), Osaka, Japon, 252–257, 2015
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Dec 2015
Mohamed Helwa and Peter E. Caines
2015 IEEE 54th Annual Conference on Decision and Control (CDC), Osaka, Japon, 276–281, 2015
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Oct 2015
Ali Pakniyat and Peter E. Caines
Proceedings of the 5th IFAC Conference on Analysis and Design of Hybrid Systems, 48(27), Atlanta, USA, 169–174, 2015
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Jun 2015
Carl Christian Mueller-Roemer and Peter E. Caines
IFAC-PapersOnLine, 48(11), 634–639, 2015
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Jun 2015
Nonlinear filtering problems in partially observed MFG control theory
Nevroz Sen and Peter E. Caines
SIAM Conference on Control and Applications, 39–40, 2015
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May 2015
Prokopis Prokopiou, Peter E. Caines, and Aditya Mahajan
Proceedings of the Canadian Conference on Elecrtical and Computer Engineering, Halifax, 1299–1306, 2015
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Dec 2014
Mohamad Aziz and Peter E. Caines
2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Los Angeles, USA, 5560–5567, 2014
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Dec 2014
Mohamed Helwa and Peter E. Caines
2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Los Angeles, USA, 3937–3942, 2014
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Dec 2014
Mohamed Helwa and Peter E. Caines
2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Los Angeles, USA, 3943–3949, 2014
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Dec 2014
Mohamed Helwa and Peter E. Caines
2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Los Angeles, USA, 3950–3956, 2014
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Dec 2014
Nevroz Sen and Peter E. Caines
2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Los Angeles, USA, 2709–2715, 2014
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Dec 2014
Ali Pakniyat and Peter E. Caines
2014 IEEE 53rd Annual Conference on Decision and Control (CDC), Los Angeles, USA, 19–24, 2014
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Dec 2014
The gear selection problem for electric vehicles: An optimal control formulation
Ali Pakniyat and Peter E. Caines
13th International Conference on Control Automation Robotics & Vision, Singapore, 1261–1266, 2014
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Aug 2014
Ali Pakniyat and Peter E. Caines
Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, 9629–9634, 2014
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Aug 2014
Peter E. Caines and Arman C. Kizilkale
Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, 8705–8709, 2014
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Jul 2014
Nonlinear filtering for McKean-Vlasov type PDEs with application to mean field games
Nevroz Sen and Peter E. Caines
The 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), Groningen, Netherlands, 1344–1351, 2014
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Sep 2013
Mean Field Game Theory for Systems with Major and Minor Agents: Nonlinear Theory and Mean Field Estimation
Peter E. Caines
Mean Field Games and Related Topics - 2, Padova, Italy, 2013
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Jan 2012
Coalition formation in mean field stochastic systems
Arman C. Kizilkale and Peter E. Caines
20th-MTNS, Melbourne, 2012
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Jan 2012
Emergence of coalitions in mean field stochastic systems
Arman C. Kizilkale and Peter E. Caines
IEEE Conference on Decision and Control, Maui, 5768–5773, 2012
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Jan 2012
\(\epsilon\)-Nash mean field theory for nonlinear stochastic dynamic games with major-minor agents
Mojtaba Nourian and Peter E. Caines
20th-MTNS, Melbourne, 2012
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Jan 2012
\(\epsilon\)-Nash mean field theory for nonlinear stochastic dynamic games with major-minor agents
Mojtaba Nourian and Peter E. Caines
IEEE Conference on Decision and Control, Maui, 2090–2095, 2012
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Jan 2012
Hybrid thermodynamic control systems with phase transitions
Dmitry Gromov and Peter E. Caines
ADHS12, Eindhoven, Netherlands, 277–283, 2012
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Jan 2012
Large scale real-time bidding in the smart grid: A mean field framework
Arman C. Kizilkale, Shie Mannor, and Peter E. Caines
IEEE Conference on Decision and Control, Maui, 3680–3687, 2012
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Jan 2012
Newton-Geodesic HMP algorithms for the optimization of hybrid systems and geometric properties of hybrid value functions
Farzin Taringoo and Peter E. Caines
IEEE Conference on Decision and Control, Maui, 4211–4216, 2012
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Jan 2012
On an extension of the hybrid minimum principle to systems on lie groups
Farzin Taringoo and Peter E. Caines
Proc.2012 American Control Conference, Montreal, 4534–4539, 2012
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Jan 2012
On the stability of interconnected thermodynamic systems with heat and work exchange
Dmitry Gromov and Peter E. Caines
Proc.2012 American Control Conference, Montreal, 386–391, 2012
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Jan 2012
The exponential gradient HMP algorithm for the optimization of hybrid systems on lie groups
Farzin Taringoo and Peter E. Caines
ADHS12, Eindhoven, Netherlands, 33–38, 2012
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Jan 2011
A continuum mean field stochastic control approach to the consensus problem
Mojtaba Nourian, Peter E. Caines, and Roland P. Malhamé
SIAM Conference on Control and its Application (CT'11), Baltimore, Maryland, 2011
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Jan 2011
A solution to the consensus problem via a continuum based mean field control approach
Mojtaba Nourian, Peter E. Caines, and Roland P. Malhamé
Proc. 50th IEEE Conference on Decision and Control, 2011, Orlando, Floride, 5708–5713, 2011
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Jan 2011
An evolution mean field equation system of initial mean consensus behaviour: A stability analysis
Mojtaba Nourian, Peter E. Caines, and Roland P. Malhamé
Proc. 50th IEEE Conference on Decision and Control, 2011, Orlando, Floride, 5029–5034, 2011
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Jan 2011
Interconnection of thermodynamic control systems
Dmitry Gromov and Peter E. Caines
Proc. 18th IFAC World Congress, Milan, Italy, 6091–6097, 2011
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Jan 2011
Mean field (NCE) stochastic control: Populations of major and egoist-altruist agents
Arman C. Kizilkale and Peter E. Caines
Proc. 50th IEEE Conference on Decision and Control, 2011, Orlando, Floride, 5547–5552, 2011
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Jan 2011
Mean field analysis of controlled cucker-smale type flocking: Linear analysis and perturbation equations
Mojtaba Nourian and Peter E. Caines
Proc. 18th IFAC World Congress, 4471–4476, 2011
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Jan 2011
On the extension of the hybrid maximum principle to Riemannian manifolds
Farzin Taringoo and Peter E. Caines
50th IEEE Conference on Decision and Control, Orlando, Floride, 3301–3306, 2011
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Jan 2011
Stability of interconnected thermodynamic systems
Dmitry Gromov and Peter E. Caines
Proc. 50th IEEE Conference on Decision and Control, Orlando, Florida, 6730–6735, 2011
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Jan 2010
A solution to the mean field consensus problem via stochastic mean field control
Mojtaba Nourian, Peter E. Caines, Roland P. Malhamé, and Minyi Huang
2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), Annecy, France, 2010
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Jan 2010
Optimality of adaptation based mean field (NCE) control laws in leader-follower stochastic dynamic games
Mojtaba Nourian, Roland P. Malhamé, Minyi Huang, and Peter E. Caines
Proc. the 49th IEEE CDC, Atlanta, USA, 2270–2275, 2010
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Jan 2010
Social dynamics in mean field LQG control: Egoistic and altruistic agents
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
Proc. the 49th IEEE CDC, Atlanta, USA, 3140–3145, 2010
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Jan 2010
Stochastic adaptive Nash certainty equivalence control: Population parameter distribution estimation
Arman C. Kizilkale and Peter E. Caines
Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 6169–6176, 2010
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Jan 2009
Derivation of consensus algorithm dynamics from mean field stochastic control NCE equations
Mojtaba Nourian, Peter E. Caines, Roland P. Malhamé, and Minyi Huang
NECSYS 2009, Venice, Italy, 2009
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Jan 2009
Large population games in radial loss networks: Computationally tractable equilibria for distributed network admission control
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
GamesNet 2009, Istanbul, Turkey, 418–427, 2009
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Jan 2009
Social optima in mean field LQG control: Centralized and decentralized strategies
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
47th Allerton Conference on Communication, Control and Computing, 322–329, 2009
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Jan 2009
The locality dependent Nash certainty equivalence (mean field) principle in large population stochastic dynamic games
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
SIAM Conference on Control and its Applications, Denver, USA, page 121, 2009
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Jan 2007
An algebraic framework for Bayes nets of time series
Peter E. Caines and H.P. Wynn
Modeling, Estimation and Control: Festschrift in Honor of Giorgio Picci on the Occasion of his Sixty-Fifth Birthday, 45–57, 2007
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Jan 2006
A maximum principle for hybrid optimal control problems with pathwise state constraints
Peter E. Caines, Francis H. Clarke, X. Lui, and R.B. Vinter
45th IEEE Conference on Decision and Control, San Diego, USA, 2006
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Jan 2006
Convergence analysis of hybrid minimum principle (HMP) optimal control algorithms
Peter E. Caines and Mohammad Shahid Shaikh
The Mathematical Theory of Networks and Systems Conference, Kyoto, Japon, 2083–2088, 2006
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Jan 2006
Distributed multi-agent decision-making with partial observations: Asymptotic Nash equilibria
Minyi Huang, Peter E. Caines, and Roland P. Malhamé
The Mathematical Theory of Networks and Systems Conference, Kyoto, Japon, 2725–2830, 2006
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Jan 2006
Multi-agent product systems: Controllability and non-blocking properties
I. Romanovski and Peter E. Caines
8th International Workshop on Discrete Event Systems, University of Michigan, Ann Arbor, Michigan, USA, 269–275, 2006
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Jan 2006
Nash certainty equivalence in large population stochastic dynamic games: Connections with the physics of interacting particle systems
Minyi Huang, Roland P. Malhamé, and Peter E. Caines
45th IEEE Conference on Decision and Control, San Diego, USA, 4921–4926, 2006
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Jan 2006
New results in optimality zone hybrid optimal control algorithms: Halting and geometry
Peter E. Caines and Mohammad Shahid Shaikh
The Mathematical Theory of Networks and Systems Conference, Kyoto, Japon, 619–624, 2006
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Jan 2006
Optimal stochastic control of networks: Call admission and routing for simple networks
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
ISYC2006, Aiya Napa, Chypre, 2006
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Jan 2006
Optimality zone algorithms for hybrid systems: Efficient algorithms for optimal location and control computation
Peter E. Caines and Mohammad Shahid Shaikh
Proceedings of the 9th International HSCC Workshop on Hybrid Systems: Computation and Control (HSCC 2006), Santa Barbara, USA, 123–137, 2006
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Jan 2006
Stochastic control of network systems I: NETCAD state space structure and dynamics
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
45th IEEE Conference on Decision and Control, San Diego, USA, 2577–2582, 2006
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Jan 2006
Stochastic control of network systems II: NETCAD optimal control & the HJB equation
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
45th IEEE Conference on Decision and Control, San Diego, USA, page 3236, 2006
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Jan 2006
Stochastic hybrid NETCAD systems for modelling: Call admission and routing control in networks
Zhongjing Ma, Peter E. Caines, and Roland P. Malhamé
Proceedings 2nd IFAC Conference on the Analysis and Design of Hybrid Systems, ADHS06, Alghero, Italie, 166–171, 2006
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