LaSalle-Type Theorem and Its Applications to Infinite Horizon Optimal Control of Discrete-Time Nonlinear Stochastic Systems

Weihai Zhang; Xiangyun Lin; Bor-Sen Chen

doi:10.1109/tac.2016.2558044

LaSalle-Type Theorem and Its Applications to Infinite Horizon Optimal Control of Discrete-Time Nonlinear Stochastic Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2016.2558044 ◽

2017 ◽

Vol 62 (1) ◽

pp. 250-261 ◽

Cited By ~ 49

Author(s):

Weihai Zhang ◽

Xiangyun Lin ◽

Bor-Sen Chen

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Type Theorem ◽

Infinite Horizon ◽

Nonlinear Stochastic Systems

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Comment on “LaSalle-Type Theorem and Its Applications to Infinite Horizon Optimal Control of Discrete-Time Nonlinear Stochastic Systems”

IEEE Transactions on Automatic Control ◽

10.1109/tac.2020.3042488 ◽

2020 ◽

pp. 1-1

Author(s):

Tianliang Zhang ◽

Feiqi Deng

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Type Theorem ◽

Infinite Horizon ◽

Nonlinear Stochastic Systems

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Near-optimal control of discrete-time nonlinear stochastic systems

Proceedings of the Institution of Electrical Engineers ◽

10.1049/piee.1971.0130 ◽

1971 ◽

Vol 118 (5) ◽

pp. 709

Author(s):

B.V. Raja Rao ◽

A.K. Mahalanabis

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Nonlinear Stochastic Systems

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Infinite horizon quadratic optimal control of a class of nonlinear stochastic systems

10.1109/cdc.1988.194310 ◽

2003 ◽

Cited By ~ 2

Author(s):

E. Yaz

Keyword(s):

Optimal Control ◽

Stochastic Systems ◽

Infinite Horizon ◽

Nonlinear Stochastic Systems ◽

Quadratic Optimal Control

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Infinite Horizon LQ Optimal Control for Discrete-Time Stochastic Systems

2006 6th World Congress on Intelligent Control and Automation ◽

10.1109/wcica.2006.1712311 ◽

2006 ◽

Cited By ~ 13

Author(s):

Yulin Huang ◽

Weihai Zhang ◽

Huanshui Zhang

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Infinite Horizon ◽

Lq Optimal Control

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Near-optimal control of discrete-time nonlinear stochastic systems

Proceedings of the Institution of Electrical Engineers ◽

10.1049/piee.1972.0058 ◽

1972 ◽

Vol 119 (2) ◽

pp. 260

Author(s):

Martin Healey ◽

B.V. Raja Rao ◽

A.K. Mahalanabis

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Nonlinear Stochastic Systems

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Infinite horizon quadratic optimal control of a class of nonlinear stochastic systems

IEEE Transactions on Automatic Control ◽

10.1109/9.40747 ◽

1989 ◽

Vol 34 (11) ◽

pp. 1176-1180 ◽

Cited By ~ 30

Author(s):

E. Yaz

Keyword(s):

Optimal Control ◽

Stochastic Systems ◽

Infinite Horizon ◽

Nonlinear Stochastic Systems ◽

Quadratic Optimal Control

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Infinite horizon linear quadratic optimal control for discrete-time stochastic systems

Asian Journal of Control ◽

10.1002/asjc.61 ◽

2008 ◽

Vol 10 (5) ◽

pp. 608-615 ◽

Cited By ~ 50

Author(s):

Yulin Huang ◽

Weihai Zhang ◽

Huanshui Zhang

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Infinite Horizon ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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Infinite-horizon optimal control of nonlinear stochastic systems: a neural approach

Proceedings of 35th IEEE Conference on Decision and Control ◽

10.1109/cdc.1996.573652 ◽

2002 ◽

Author(s):

T. Parisini ◽

R. Zoppoli

Keyword(s):

Optimal Control ◽

Stochastic Systems ◽

Infinite Horizon ◽

Nonlinear Stochastic Systems

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Optimal control of discrete-time nonlinear stochastic systems with general criteria

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.914245 ◽

2002 ◽

Author(s):

E.E. Yaz ◽

Y.I. Yaz

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Stochastic Systems ◽

Nonlinear Stochastic Systems

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Neural approximations for infinite-horizon optimal control of nonlinear stochastic systems

IEEE Transactions on Neural Networks ◽

10.1109/72.728390 ◽

1998 ◽

Vol 9 (6) ◽

pp. 1388-1408 ◽

Cited By ~ 42

Author(s):

T. Parisini ◽

R. Zoppoli

Keyword(s):

Optimal Control ◽

Stochastic Systems ◽

Infinite Horizon ◽

Nonlinear Stochastic Systems

Download Full-text