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## Caines, Peter Edwin

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 Author ID: caines.peter-e Published as: Caines, Peter E.; Caines, P. E.; Caines, Peter Homepage: https://www.gerad.ca/fr/people/peter-caines/ External Links: IdRef · MGP · Wikidata
 Documents Indexed: 131 Publications since 1970, including 6 Books
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#### Co-Authors

 14 single-authored 17 Malhamé, Roland P. 12 Huang, Minyi 7 Goodrich, Robert L. 6 Wei, Yuanjun 5 Meyn, Sean P. 5 Nourian, Mojtaba 4 Goodwin, Graham Clifford 4 Lemch, Ekaterina S. 4 Ramadge, Peter J. G. 4 Shaikh, Mohammad Shahid 3 Firoozi, Dena 3 Jia, Peng 3 Levanony, David 3 Pakniyat, Ali 3 Şen, Nevroz 3 Wang, Suning 3 Wynn, Henry P. 2 Bardi, Martino 2 Brillinger, David R. 2 Capuzzo Dolcetta, Italo 2 Deardon, Rob 2 Gao, Shuang 2 Gerencsér, László 2 Geweke, John F. 2 Kizilkale, Arman C. 2 Ljung, Lennart 2 Ma, Zhongjing 2 Mayne, David Q. 2 Nassiri-Toussi, Karim 2 Parzen, Emanuel 2 Rosenblatt, Murray 2 Shen, Gang 2 Taqqu, Murad S. 2 Taringoo, Farzin 2 Zhang, Jifeng 1 Adès, Michel 1 Baykal-Gursoy, Melike 1 Brotherton, T. W. 1 Buss, Martin 1 Dorer, D. 1 Dyck, Derek N. 1 Egerstedt, Magnus B. 1 Gomart, Olivier 1 Greiner, Russell 1 Gupta, Vineet 1 Helwa, Mohamed K. 1 Hermann, Robert 1 Hubbard, Paul 1 Jaimungal, Sebastian 1 Lafortune, Stéphane 1 Leibold, Marion 1 Mackling, T. 1 Martínez-Mascarúa, C. 1 Passenberg, Benjamin 1 Printis, Robert S. 1 Qu, Clare W. 1 Sabourn, Michael G. 1 Schöllig, Angela 1 Sethi, Suresh P. 1 Stursberg, Olaf 1 Tchuendom, Rinel Foguen 1 Thow, Stefan Ng Yow
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#### Serials

 44 IEEE Transactions on Automatic Control 15 SIAM Journal on Control and Optimization 9 IMA Journal of Mathematical Control and Information 8 Systems & Control Letters 3 Communications in Information and Systems 3 International Journal of Control, I. Series 2 International Journal of Systems Science 2 The Annals of Statistics 2 Automatica 2 The IMA Volumes in Mathematics and its Applications 2 Dynamic Games and Applications 1 IEEE Transactions on Information Theory 1 Stochastics 1 International Journal of Adaptive Control and Signal Processing 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Systems Science and Complexity 1 International Journal of Robotics and Automation 1 Classics in Applied Mathematics 1 Lecture Notes in Control and Information Sciences 1 Lie Groups: History, Frontiers and Applications. Series B. Systems Information and Control 1 Nonlinear Analysis. Hybrid Systems 1 Wiley Series in Probability and Mathematical Statistics
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#### Fields

 102 Systems theory; control (93-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Probability theory and stochastic processes (60-XX) 21 Statistics (62-XX) 10 Computer science (68-XX) 10 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Partial differential equations (35-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

92 Publications have been cited 1,370 times in 952 Documents Cited by Year
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Zbl 1136.91349
Huang, Minyi; Malhamé, Roland; Caines, Peter E.
2006
Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized $$\epsilon$$-Nash equilibria. Zbl 1366.91016
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2007
Discrete-time multivariable adaptive control. Zbl 0429.93034
Goodwin, Graham C.; Ramadge, Peter J.; Caines, Peter E.
1980
Discrete time stochastic adaptive control. Zbl 0473.93075
Goodwin, Graham C.; Ramadge, Peter J.; Caines, Peter E.
1981
On the hybrid optimal control problem: theory and algorithms. Zbl 1366.93061
Shaikh, M. Shahid; Caines, Peter E.
2007
Linear stochastic systems. Zbl 0658.93003
Caines, Peter E.
1988
Finite dimensional linear stochastic system identification. Zbl 0781.93093
Caines, P. E.
1991
$$\epsilon$$-Nash mean field game theory for nonlinear stochastic dynamical systems with major and minor agents. Zbl 1275.93067
Nourian, Mojtaba; Caines, Peter E.
2013
Asymptotic normality of prediction error estimators for approximate system models. Zbl 0437.93044
Ljung, Lennart; Caines, Peter E.
1979
Social optima in mean field LQG control: centralized and decentralized strategies. Zbl 1369.49052
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2012
On the discrete time matrix Riccati equation of optimal control. Zbl 0205.15902
Caines, P. E.; Mayne, D. Q.
1970
Feedback between stationary stochastic processes. Zbl 0312.60018
Caines, Peter E.; Chan, C. W.
1975
An invariance principle in large population stochastic dynamic games. Zbl 1280.91020
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2007
Optimal adaptive LQG control for systems with finite state process parameters. Zbl 0571.93035
Caines, P. E.; Chen, H. F.
1985
On the adaptive control of jump parameter systems via nonlinear filtering. Zbl 0843.93076
Caines, Peter E.; Zhang, Ji-Feng
1995
On the optimal control of hybrid systems: Optimization of trajectories, switching times, and location schedules. Zbl 1038.49033
Shaikh, M. Shahid; Caines, Peter E.
2003
Nash, social and centralized solutions to consensus problems via mean field control theory. Zbl 1369.93041
Nourian, Mojtaba; Caines, Peter E.; Malhamé, Roland P.; Huang, Minyi
2013
Prediction error identification method for stationary stochastic processes. Zbl 0334.93049
Caines, P. E.
1976
Hierarchical hybrid control systems: A lattice theoretic formulation. Zbl 0899.93001
Caines, Peter E.; Wei, Yuan-Jun
1998
Adaptive control with recursive identification for stochastic linear systems. Zbl 0538.93071
Caines, Peter E.; Lafortune, Stephane
1984
The NCE (mean field) principle with locality dependent cost interactions. Zbl 1368.49040
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2010
Nash equilibria for large-population linear stochastic systems of weakly coupled agents. Zbl 1121.91012
Huang, Minyi; Malhamé, Roland P.; Caines, Peter E.
2005
Linear system identification from nonstationary cross-sectional data. Zbl 0408.93041
Goodrich, Robert L.; Caines, Peter E.
1979
Uplink power adjustment in wireless communication systems: a stochastic control analysis. Zbl 1365.93545
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2004
Mean field LQG control in leader-follower stochastic multi-agent systems: likelihood ratio based adaptation. Zbl 1369.93732
Nourian, Mojtaba; Caines, Peter E.; Malhamé, Roland P.; Huang, Minyi
2012
The strong consistency of the stochastic gradient algorithm of adaptive control. Zbl 0555.93057
Chen, H. F.; Caines, P. E.
1985
Maximum likelihood estimation of parameters in multivariate Gaussian stochastic processes. Zbl 0283.62085
Caines, P. E.; Rissanen, J.
1974
Mean field game theory with a partially observed major agent. Zbl 1358.35195
Şen, Nevroz; Caines, Peter E.
2016
The strong consistency of maximum likelihood estimators for ARMA processes. Zbl 0406.62018
Rissanen, J.; Caines, P. E.
1979
A hybrid Bellman equation for bimodal systems. Zbl 1221.49054
Caines, Peter; Egerstedt, Magnus; Malhame, Roland; Schöllig, Angela
2007
The zero divisor problem of multivariable stochastic adaptive control. Zbl 0579.93067
Meyn, S. P.; Caines, P. E.
1985
Preface: DGAA special issue on mean field games. Zbl 1304.00024
Bardi, Martino (ed.); Caines, Peter E. (ed.); Capuzzo Dolcetta, Italo (ed.)
2013
A mean field game synthesis of initial mean consensus problems: a continuum approach for non-Gaussian behavior. Zbl 1360.93049
Nourian, Mojtaba; Caines, Peter E.; Malhamé, Roland P.
2014
Mean field stochastic adaptive control. Zbl 1369.93731
Kizilkale, Arman C.; Caines, Peter E.
2013
$$\epsilon$$-Nash equilibria for partially observed LQG mean field games with a major player. Zbl 1371.91012
Caines, Peter E.; Kizilkale, Arman C.
2017
Asymptotic behavior of stochastic systems possessing Markovian realizations. Zbl 0725.60070
Meyn, S. P.; Caines, P. E.
1991
On the adaptive stabilization and ergodic behaviour of stochastic systems with jump-Markov parameters via nonlinear filtering. Zbl 0793.93106
Caines, Peter E.; Nassiri-Toussi, Karim
1991
A new approach to stochastic adaptive control. Zbl 0618.93069
Meyn, Sean P.; Caines, Peter E.
1987
A globally convergent adaptive predictor. Zbl 0451.93028
Goodwin, Graham C.; Ramadge, Peter J.; Caines, Peter E.
1981
On the adaptive control of a class of systems with random parameters and disturbances. Zbl 0581.93039
Chen, H. F.; Caines, P. E.
1985
Dynamical consistency in hierarchical supervisory control. Zbl 1364.93467
Hubbard, Paul; Caines, Peter E.
2002
Analysis of decentralized quantized auctions on cooperative networks. Zbl 1369.91070
Jia, Peng; Caines, Peter E.
2013
Nonlinear filtering theory for McKean-Vlasov type stochastic differential equations. Zbl 1355.60085
Şen, Nevroz; Caines, Peter E.
2016
Classical and logic-based dynamic observers for finite automata. Zbl 0734.93019
Caines, Peter E.; Greiner, Russell; Wang, Suning
1991
Stationary linear and nonlinear system identification and predictor set completeness. Zbl 0383.93039
Caines, Peter E.
1978
On persistent excitation for linear systems with stochastic coefficients. Zbl 0996.60052
Levanony, David; Caines, Peter E.
2001
The sensitivity of hybrid systems optimal cost functions with respect to switching manifold parameters. Zbl 1237.49035
Taringoo, Farzin; Caines, Peter E.
2009
Weak and strong feedback free processes. Zbl 0333.93042
Caines, P. E.
1976
Optimality zone algorithms for hybrid systems: Efficient algorithms for optimal location and control computation. Zbl 1178.93071
Caines, Peter E.; Shaikh, M. Shahid
2006
Continuous time stochastic adaptive control: Non-explosion, $$\epsilon$$- consistency and stability. Zbl 0763.93078
Caines, P. E.
1992
A note on the consistency of maximum likelihood estimates for finite families of stochastic processes. Zbl 0303.62022
Caines, P. E.
1975
On the optimal control of impulsive hybrid systems on Riemannian manifolds. Zbl 1280.49051
Taringoo, Farzin; Caines, Peter E.
2013
On the relation between the minimum principle and dynamic programming for classical and hybrid control systems. Zbl 1390.49024
Pakniyat, Ali; Caines, Peter E.
2017
Necessary and sufficient conditions for local second-order identifiability. Zbl 0393.93052
Goodrich, R. L.; Caines, P. E.
1979
Stochastic Lagrangian adaptive LQG control. Zbl 1048.93097
Levanony, David; Caines, Peter E.
2002
On the global controllability of nonlinear systems: Fountains, recurrence, and applications to Hamiltonian systems. Zbl 1175.93098
Caines, Peter E.; Lemch, Ekaterina S.
2003
Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025
Bardi, Martino (ed.); Caines, Peter E. (ed.); Capuzzo Dolcetta, Italo (ed.)
2014
On the asymptotic normality of instrumental variable and least squares estimators. Zbl 0332.93069
Caines, P. E.
1976
Nonlinear filtering in Riemannian manifolds. Zbl 0625.60051
Ng, S. K.; Caines, P. E.
1985
On the extension of robust global adaptive control results to unstructured time-varying systems. Zbl 0672.93044
Gomart, Olivier; Caines, Peter
1986
On the $$L^{\infty}$$ consistency of $$L^ 2$$ estimators. Zbl 0684.93076
Caines, P. E.; Baykal-Gürsoy, M.
1989
The execution problem in finance with major and minor traders: a mean field game formulation. Zbl 1417.91112
Firoozi, Dena; Caines, Peter E.
2017
The hierarchical control of ST-finite-state machines. Zbl 0902.93001
Caines, Peter E.; Gupta, Vineet; Shen, Gang
1997
A simple proof for a spectral factorization theorem. Zbl 0725.60030
Caines, P. E.; Gerencsér, Laszlo
1991
On the use of shift register sequences as instrumental variables for the recursive identification of multivariable linear systems. Zbl 0383.93045
Sinha, S.; Caines, P. E.
1977
Hierarchical hybrid control systems. Zbl 0880.93003
Caines, Peter E.; Wei, Yuan-Jun
1997
Correction: On the discrete time matrix Riccati equation of optimal control. Zbl 0215.21405
Caines, P. E.; Mayne, D. Q.
1971
Analysis of a class of decentralized dynamical systems: rapid convergence and efficiency of dynamical quantized auctions. Zbl 1201.91079
Jia, Peng; Caines, Peter E.
2010
Mean field (NCE) formulation of estimation based leader-follower collective dynamics. Zbl 1260.93154
Nourian, Mojtaba; Malhamé, Roland P.; Huang, Minyi; Caines, Peter E.
2011
Computationally tractable stochastic power control laws in wireless communications. Zbl 1365.93337
Huang, Minyi; Malhamé, Roland P.; Caines, Peter E.
2005
On the supervisory control of multiagent product systems. Zbl 1366.93365
Romanovski, I.; Caines, P. E.
2006
Optimal control for hybrid systems with partitioned state space. Zbl 1369.49029
Passenberg, Benjamin; Caines, Peter E.; Leibold, Marion; Stursberg, Olaf; Buss, Martin
2013
In-block controllability of affine systems on polytopes. Zbl 1369.93083
Helwa, Mohamed K.; Caines, Peter E.
2017
Mean field games with partial observation. Zbl 1428.35645
Şen, Nevroz; Caines, Peter E.
2019
Linear system identification from non-stationary cross-sectional data. Zbl 0428.93069
Goodrich, R. L.; Caines, P. E.
1979
Asymptotic normality of prediction error estimators for approximate system models. Zbl 0434.93055
Ljung, Lennart; Caines, Peter E.
1979
The logical control of an elevator. Zbl 0826.93052
Dyck, Derek N.; Caines, Peter E.
1995
COCOLOG: A conditional observer and controller logic for finite machines. Zbl 0840.93007
Caines, Peter E.; Wang, Suning
1995
Adaptive control via a simple switching algorithm. Zbl 0846.93057
Zhang, Ji Feng; Caines, Peter E.
1996
Topics in stochastic systems: modelling, estimation and adaptive control. Zbl 0778.00024
Gerencsér, L. (ed.); Caines, P. E. (ed.)
1991
Hierarchical COCOLOG for finite machines. Zbl 0823.68066
Wei, Y. J.; Caines, P. E.
1994
On the rapid convergence of a class of decentralized decision processes: quantized progressive second-price auctions. Zbl 1264.91065
Jia, Peng; Qu, Clare W.; Caines, Peter E.
2009
Modelling and maximum likelihood estimation of Gaussian ARMAX and state space systems. Zbl 0597.93054
Caines, P. E.
1983
Chen, H. F.; Caines, P. E.
1985
Parameter estimation for observed diffusions in manifolds. Zbl 0652.60049
Ng, S. K.; Caines, P. E.; Chen, H. F.
1984
Stochastic controllability and stochastic Lyapunov functions with applications to adaptive and nonlinear systems. Zbl 0684.93070
Meyn, S. P.; Caines, P. E.
1989
Ultimate objectives and prior knowledge in system identification. Zbl 0476.93065
Goodwin, G. C.; Ramadge, P. J.; Caines, P. E.
1980
Adaptive control of systems subject to a class of random parameter variations and disturbances. Zbl 0493.93045
Caines, P. E.; Dorer, D.
1981
Minimal realization of transfer function matrices. Zbl 0213.15303
Caines, P. E.
1971
Linear stochastic systems. Reprint of the 1988 original published by Wiley. Zbl 1398.93001
Caines, Peter E.
2018
Stochastic optimal control under Poisson-distributed observations. Zbl 1012.93068
Adès, Michel; Caines, Peter E.; Malhamé, Roland P.
2000
Hybrid optimal control of an electric vehicle with a dual-planetary transmission. Zbl 1376.49005
Pakniyat, Ali; Caines, Peter E.
2017
Mean field games with partial observation. Zbl 1428.35645
Şen, Nevroz; Caines, Peter E.
2019
Linear stochastic systems. Reprint of the 1988 original published by Wiley. Zbl 1398.93001
Caines, Peter E.
2018
$$\epsilon$$-Nash equilibria for partially observed LQG mean field games with a major player. Zbl 1371.91012
Caines, Peter E.; Kizilkale, Arman C.
2017
On the relation between the minimum principle and dynamic programming for classical and hybrid control systems. Zbl 1390.49024
Pakniyat, Ali; Caines, Peter E.
2017
The execution problem in finance with major and minor traders: a mean field game formulation. Zbl 1417.91112
Firoozi, Dena; Caines, Peter E.
2017
In-block controllability of affine systems on polytopes. Zbl 1369.93083
Helwa, Mohamed K.; Caines, Peter E.
2017
Hybrid optimal control of an electric vehicle with a dual-planetary transmission. Zbl 1376.49005
Pakniyat, Ali; Caines, Peter E.
2017
Mean field game theory with a partially observed major agent. Zbl 1358.35195
Şen, Nevroz; Caines, Peter E.
2016
Nonlinear filtering theory for McKean-Vlasov type stochastic differential equations. Zbl 1355.60085
Şen, Nevroz; Caines, Peter E.
2016
A mean field game synthesis of initial mean consensus problems: a continuum approach for non-Gaussian behavior. Zbl 1360.93049
Nourian, Mojtaba; Caines, Peter E.; Malhamé, Roland P.
2014
Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025
Bardi, Martino; Caines, Peter E.; Capuzzo Dolcetta, Italo
2014
$$\epsilon$$-Nash mean field game theory for nonlinear stochastic dynamical systems with major and minor agents. Zbl 1275.93067
Nourian, Mojtaba; Caines, Peter E.
2013
Nash, social and centralized solutions to consensus problems via mean field control theory. Zbl 1369.93041
Nourian, Mojtaba; Caines, Peter E.; Malhamé, Roland P.; Huang, Minyi
2013
Preface: DGAA special issue on mean field games. Zbl 1304.00024
Bardi, Martino; Caines, Peter E.; Capuzzo Dolcetta, Italo
2013
Mean field stochastic adaptive control. Zbl 1369.93731
Kizilkale, Arman C.; Caines, Peter E.
2013
Analysis of decentralized quantized auctions on cooperative networks. Zbl 1369.91070
Jia, Peng; Caines, Peter E.
2013
On the optimal control of impulsive hybrid systems on Riemannian manifolds. Zbl 1280.49051
Taringoo, Farzin; Caines, Peter E.
2013
Optimal control for hybrid systems with partitioned state space. Zbl 1369.49029
Passenberg, Benjamin; Caines, Peter E.; Leibold, Marion; Stursberg, Olaf; Buss, Martin
2013
Social optima in mean field LQG control: centralized and decentralized strategies. Zbl 1369.49052
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2012
Mean field LQG control in leader-follower stochastic multi-agent systems: likelihood ratio based adaptation. Zbl 1369.93732
Nourian, Mojtaba; Caines, Peter E.; Malhamé, Roland P.; Huang, Minyi
2012
Mean field (NCE) formulation of estimation based leader-follower collective dynamics. Zbl 1260.93154
Nourian, Mojtaba; Malhamé, Roland P.; Huang, Minyi; Caines, Peter E.
2011
The NCE (mean field) principle with locality dependent cost interactions. Zbl 1368.49040
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2010
Analysis of a class of decentralized dynamical systems: rapid convergence and efficiency of dynamical quantized auctions. Zbl 1201.91079
Jia, Peng; Caines, Peter E.
2010
The sensitivity of hybrid systems optimal cost functions with respect to switching manifold parameters. Zbl 1237.49035
Taringoo, Farzin; Caines, Peter E.
2009
On the rapid convergence of a class of decentralized decision processes: quantized progressive second-price auctions. Zbl 1264.91065
Jia, Peng; Qu, Clare W.; Caines, Peter E.
2009
Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized $$\epsilon$$-Nash equilibria. Zbl 1366.91016
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2007
On the hybrid optimal control problem: theory and algorithms. Zbl 1366.93061
Shaikh, M. Shahid; Caines, Peter E.
2007
An invariance principle in large population stochastic dynamic games. Zbl 1280.91020
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2007
A hybrid Bellman equation for bimodal systems. Zbl 1221.49054
Caines, Peter; Egerstedt, Magnus; Malhame, Roland; Schöllig, Angela
2007
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Zbl 1136.91349
Huang, Minyi; Malhamé, Roland; Caines, Peter E.
2006
Optimality zone algorithms for hybrid systems: Efficient algorithms for optimal location and control computation. Zbl 1178.93071
Caines, Peter E.; Shaikh, M. Shahid
2006
On the supervisory control of multiagent product systems. Zbl 1366.93365
Romanovski, I.; Caines, P. E.
2006
Nash equilibria for large-population linear stochastic systems of weakly coupled agents. Zbl 1121.91012
Huang, Minyi; Malhamé, Roland P.; Caines, Peter E.
2005
Computationally tractable stochastic power control laws in wireless communications. Zbl 1365.93337
Huang, Minyi; Malhamé, Roland P.; Caines, Peter E.
2005
Uplink power adjustment in wireless communication systems: a stochastic control analysis. Zbl 1365.93545
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2004
On the optimal control of hybrid systems: Optimization of trajectories, switching times, and location schedules. Zbl 1038.49033
Shaikh, M. Shahid; Caines, Peter E.
2003
On the global controllability of nonlinear systems: Fountains, recurrence, and applications to Hamiltonian systems. Zbl 1175.93098
Caines, Peter E.; Lemch, Ekaterina S.
2003
Dynamical consistency in hierarchical supervisory control. Zbl 1364.93467
Hubbard, Paul; Caines, Peter E.
2002
Stochastic Lagrangian adaptive LQG control. Zbl 1048.93097
Levanony, David; Caines, Peter E.
2002
On persistent excitation for linear systems with stochastic coefficients. Zbl 0996.60052
Levanony, David; Caines, Peter E.
2001
Stochastic optimal control under Poisson-distributed observations. Zbl 1012.93068
Adès, Michel; Caines, Peter E.; Malhamé, Roland P.
2000
Hierarchical hybrid control systems: A lattice theoretic formulation. Zbl 0899.93001
Caines, Peter E.; Wei, Yuan-Jun
1998
The hierarchical control of ST-finite-state machines. Zbl 0902.93001
Caines, Peter E.; Gupta, Vineet; Shen, Gang
1997
Hierarchical hybrid control systems. Zbl 0880.93003
Caines, Peter E.; Wei, Yuan-Jun
1997
Adaptive control via a simple switching algorithm. Zbl 0846.93057
Zhang, Ji Feng; Caines, Peter E.
1996
On the adaptive control of jump parameter systems via nonlinear filtering. Zbl 0843.93076
Caines, Peter E.; Zhang, Ji-Feng
1995
The logical control of an elevator. Zbl 0826.93052
Dyck, Derek N.; Caines, Peter E.
1995
COCOLOG: A conditional observer and controller logic for finite machines. Zbl 0840.93007
Caines, Peter E.; Wang, Suning
1995
Hierarchical COCOLOG for finite machines. Zbl 0823.68066
Wei, Y. J.; Caines, P. E.
1994
Continuous time stochastic adaptive control: Non-explosion, $$\epsilon$$- consistency and stability. Zbl 0763.93078
Caines, P. E.
1992
Finite dimensional linear stochastic system identification. Zbl 0781.93093
Caines, P. E.
1991
Asymptotic behavior of stochastic systems possessing Markovian realizations. Zbl 0725.60070
Meyn, S. P.; Caines, P. E.
1991
On the adaptive stabilization and ergodic behaviour of stochastic systems with jump-Markov parameters via nonlinear filtering. Zbl 0793.93106
Caines, Peter E.; Nassiri-Toussi, Karim
1991
Classical and logic-based dynamic observers for finite automata. Zbl 0734.93019
Caines, Peter E.; Greiner, Russell; Wang, Suning
1991
A simple proof for a spectral factorization theorem. Zbl 0725.60030
Caines, P. E.; Gerencsér, Laszlo
1991
Topics in stochastic systems: modelling, estimation and adaptive control. Zbl 0778.00024
Gerencsér, L.; Caines, P. E.
1991
On the $$L^{\infty}$$ consistency of $$L^ 2$$ estimators. Zbl 0684.93076
Caines, P. E.; Baykal-Gürsoy, M.
1989
Stochastic controllability and stochastic Lyapunov functions with applications to adaptive and nonlinear systems. Zbl 0684.93070
Meyn, S. P.; Caines, P. E.
1989
Linear stochastic systems. Zbl 0658.93003
Caines, Peter E.
1988
A new approach to stochastic adaptive control. Zbl 0618.93069
Meyn, Sean P.; Caines, Peter E.
1987
On the extension of robust global adaptive control results to unstructured time-varying systems. Zbl 0672.93044
Gomart, Olivier; Caines, Peter
1986
Optimal adaptive LQG control for systems with finite state process parameters. Zbl 0571.93035
Caines, P. E.; Chen, H. F.
1985
The strong consistency of the stochastic gradient algorithm of adaptive control. Zbl 0555.93057
Chen, H. F.; Caines, P. E.
1985
The zero divisor problem of multivariable stochastic adaptive control. Zbl 0579.93067
Meyn, S. P.; Caines, P. E.
1985
On the adaptive control of a class of systems with random parameters and disturbances. Zbl 0581.93039
Chen, H. F.; Caines, P. E.
1985
Nonlinear filtering in Riemannian manifolds. Zbl 0625.60051
Ng, S. K.; Caines, P. E.
1985
Chen, H. F.; Caines, P. E.
1985
Adaptive control with recursive identification for stochastic linear systems. Zbl 0538.93071
Caines, Peter E.; Lafortune, Stephane
1984
Parameter estimation for observed diffusions in manifolds. Zbl 0652.60049
Ng, S. K.; Caines, P. E.; Chen, H. F.
1984
Modelling and maximum likelihood estimation of Gaussian ARMAX and state space systems. Zbl 0597.93054
Caines, P. E.
1983
Discrete time stochastic adaptive control. Zbl 0473.93075
Goodwin, Graham C.; Ramadge, Peter J.; Caines, Peter E.
1981
A globally convergent adaptive predictor. Zbl 0451.93028
Goodwin, Graham C.; Ramadge, Peter J.; Caines, Peter E.
1981
Adaptive control of systems subject to a class of random parameter variations and disturbances. Zbl 0493.93045
Caines, P. E.; Dorer, D.
1981
Discrete-time multivariable adaptive control. Zbl 0429.93034
Goodwin, Graham C.; Ramadge, Peter J.; Caines, Peter E.
1980
Ultimate objectives and prior knowledge in system identification. Zbl 0476.93065
Goodwin, G. C.; Ramadge, P. J.; Caines, P. E.
1980
Asymptotic normality of prediction error estimators for approximate system models. Zbl 0437.93044
Ljung, Lennart; Caines, Peter E.
1979
Linear system identification from nonstationary cross-sectional data. Zbl 0408.93041
Goodrich, Robert L.; Caines, Peter E.
1979
The strong consistency of maximum likelihood estimators for ARMA processes. Zbl 0406.62018
Rissanen, J.; Caines, P. E.
1979
Necessary and sufficient conditions for local second-order identifiability. Zbl 0393.93052
Goodrich, R. L.; Caines, P. E.
1979
Linear system identification from non-stationary cross-sectional data. Zbl 0428.93069
Goodrich, R. L.; Caines, P. E.
1979
Asymptotic normality of prediction error estimators for approximate system models. Zbl 0434.93055
Ljung, Lennart; Caines, Peter E.
1979
Stationary linear and nonlinear system identification and predictor set completeness. Zbl 0383.93039
Caines, Peter E.
1978
On the use of shift register sequences as instrumental variables for the recursive identification of multivariable linear systems. Zbl 0383.93045
Sinha, S.; Caines, P. E.
1977
Prediction error identification method for stationary stochastic processes. Zbl 0334.93049
Caines, P. E.
1976
Weak and strong feedback free processes. Zbl 0333.93042
Caines, P. E.
1976
On the asymptotic normality of instrumental variable and least squares estimators. Zbl 0332.93069
Caines, P. E.
1976
Feedback between stationary stochastic processes. Zbl 0312.60018
Caines, Peter E.; Chan, C. W.
1975
A note on the consistency of maximum likelihood estimates for finite families of stochastic processes. Zbl 0303.62022
Caines, P. E.
1975
Maximum likelihood estimation of parameters in multivariate Gaussian stochastic processes. Zbl 0283.62085
Caines, P. E.; Rissanen, J.
1974
Correction: On the discrete time matrix Riccati equation of optimal control. Zbl 0215.21405
Caines, P. E.; Mayne, D. Q.
1971
Minimal realization of transfer function matrices. Zbl 0213.15303
Caines, P. E.
1971
On the discrete time matrix Riccati equation of optimal control. Zbl 0205.15902
Caines, P. E.; Mayne, D. Q.
1970
all top 5

#### Cited by 1,202 Authors

 25 Gomes, Diogo Luís Aguiar 20 Cardaliaguet, Pierre 19 Caines, Peter Edwin 15 Azhmyakov, Vadim 14 Zhang, Jifeng 12 Huang, Jianhui 11 Bauso, Dario 11 Cirant, Marco 11 de la Sen, Manuel 10 Anderson, Brian David Outram 10 Başar, Tamer 10 Bensoussan, Alain 10 Chen, Hanfu 10 Huang, Minyi 9 Carmona, René A. 9 Hjalmarsson, Håkan 9 Kolokoltsov, Vassili N. 9 Li, Xun 8 Delarue, François 8 Ferreira, Rita 8 Goodwin, Graham Clifford 8 Guo, Lei 8 Lacker, Daniel 8 Porretta, Alessio 8 Söderström, Torsten 7 Chai, Tianyou 7 Miller, Daniel E. 7 Shah, Sirish L. 7 Wang, Bingchang 7 Wu, Zhen 6 Averboukh, Yuriĭ Vladimirovich 6 Bardi, Martino 6 Bayraktar, Erhan 6 Egerstedt, Magnus B. 6 Gerencsér, László 6 Ljung, Lennart 6 Meyn, Sean P. 6 Moon, Jun-Hee 6 Radenkovic, Miloje S. 6 Silva, Francisco J. 6 Stoica, Petre Gheorghe 6 Yam, Sheung Chi Phillip 6 Ydstie, B. Erik 5 Åström, Karl Johan 5 Charalambous, Charalambos D. 5 Fisher, D. Grant 5 Fragoso, Marcelo Dutra 5 Gevers, Michel R. 5 Li, Tao 5 Nurbekyan, Levon 5 Poznyak, Aleksandr Semënovich 5 Saldi, Naci 5 Tembine, Hamidou 5 Turinici, Gabriel 5 Voskanyan, Vardan K. 5 Zhang, Huanshui 4 Bittanti, Sergio 4 Cannarsa, Piermarco 4 Cecchin, Alekos 4 Chau, Man Ho Michael 4 Cohen, Asaf 4 Feleqi, Ermal 4 Galvan-Guerra, Rosalba 4 Johnson, Charles Richard jun. 4 Lai, Tze Leung 4 Landau, Ioan Doré 4 Malhamé, Roland P. 4 Martin-Sánchez, Juan M. 4 Mayne, David Q. 4 Mélard, Guy 4 Mészáros, Alpár Richárd 4 Moore, John Barratt 4 Narendra, Kumpati S. 4 Nguyen, Son Luu 4 Ni, Yuanhua 4 Pasik-Duncan, Bozenna 4 Pimentel, Edgard A. 4 Pintelon, Rik 4 Raginsky, Maxim 4 Santambrogio, Filippo 4 Scattolini, Riccardo 4 Schoukens, Johan 4 Tonon, Daniela 4 Triacca, Umberto 4 Van den Hof, Paul M. J. 4 Wardi, Yorai 4 Wu, Xiang 4 Yin, Gang George 4 Yin, George Gang 4 Yong, Jiongmin 4 Zhang, Kanjian 4 Zhang, Qing 4 Zhang, Weihai 3 Bagagiolo, Fabio 3 Bagchi, Arunabha 3 Bahlali, Khaled 3 Basin, Michael V. 3 Bitmead, Robert R. 3 Campi, Luciano 3 Carlini, Elisabetta ...and 1,102 more Authors
all top 5

#### Cited in 183 Serials

 180 Automatica 88 International Journal of Control 58 Systems & Control Letters 40 SIAM Journal on Control and Optimization 38 Dynamic Games and Applications 29 International Journal of Systems Science 28 Applied Mathematics and Optimization 18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 Journal of the Franklin Institute 14 Journal of Optimization Theory and Applications 14 Nonlinear Analysis. Hybrid Systems 12 International Journal of Adaptive Control and Signal Processing 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Stochastic Processes and their Applications 10 Journal of Econometrics 10 Stochastic Analysis and Applications 9 The Annals of Applied Probability 9 NoDEA. Nonlinear Differential Equations and Applications 9 European Journal of Control 8 Journal of Time Series Analysis 8 Mathematical Problems in Engineering 8 Journal of Systems Science and Complexity 7 Journal of Differential Equations 7 MCSS. Mathematics of Control, Signals, and Systems 7 Discrete Event Dynamic Systems 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Stochastics 6 Statistics & Probability Letters 6 Communications in Statistics. Theory and Methods 6 Journal of Dynamics and Games 6 Minimax Theory and its Applications 5 Journal of Mathematical Analysis and Applications 5 Asian Journal of Control 4 Computers & Mathematics with Applications 4 Journal of Multivariate Analysis 4 Mathematics of Operations Research 4 Circuits, Systems, and Signal Processing 4 Communications in Partial Differential Equations 4 Linear Algebra and its Applications 4 Calculus of Variations and Partial Differential Equations 4 Mathematical Control and Related Fields 3 The Annals of Probability 3 Applied Mathematics and Computation 3 Proceedings of the American Mathematical Society 3 Optimal Control Applications & Methods 3 Journal of Economic Dynamics & Control 3 Economics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis 3 Computational Statistics and Data Analysis 3 International Journal of Robust and Nonlinear Control 3 Lobachevskii Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Control Theory and Applications 3 Mathematics and Financial Economics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Acta Informatica 2 Biological Cybernetics 2 The Annals of Statistics 2 The Journal of Mathematical Sociology 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Ricerche di Matematica 2 SIAM Journal on Numerical Analysis 2 Statistica Neerlandica 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields 2 Statistical Science 2 Econometric Reviews 2 Dynamics and Control 2 Automation and Remote Control 2 European Journal of Operational Research 2 Journal of Statistical Computation and Simulation 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Journal of Dynamics and Differential Equations 2 Bernoulli 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete Dynamics in Nature and Society 2 Econometric Theory 2 Entropy 2 Sādhanā 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Science in China. Series F 2 Stochastics 2 Games 2 Stochastic Systems 2 Research in the Mathematical Sciences 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Metrika 1 Nonlinearity 1 Physics Letters. A ...and 83 more Serials
all top 5

#### Cited in 37 Fields

 605 Systems theory; control (93-XX) 276 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 224 Calculus of variations and optimal control; optimization (49-XX) 173 Probability theory and stochastic processes (60-XX) 130 Statistics (62-XX) 107 Partial differential equations (35-XX) 57 Operations research, mathematical programming (90-XX) 44 Numerical analysis (65-XX) 35 Computer science (68-XX) 27 Biology and other natural sciences (92-XX) 22 Ordinary differential equations (34-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Information and communication theory, circuits (94-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Difference and functional equations (39-XX) 7 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Integral equations (45-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)

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