Numerical Approximation for the Infinite-Dimensional Discrete-Time Optimal Linear-Quadratic Regulator Problem

J. S. Gibson; I. G. Rosen

doi:10.1137/0326025

Numerical Approximation for the Infinite-Dimensional Discrete-Time Optimal Linear-Quadratic Regulator Problem

SIAM Journal on Control and Optimization ◽

10.1137/0326025 ◽

1988 ◽

Vol 26 (2) ◽

pp. 428-451 ◽

Cited By ~ 24

Author(s):

J. S. Gibson ◽

I. G. Rosen

Keyword(s):

Discrete Time ◽

Numerical Approximation ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Infinite Dimensional ◽

Regulator Problem ◽

Optimal Linear ◽

Time Optimal

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A Linear Quadratic Regulator Problem for Descriptor Lumped and Distributed Systems with Discrete Time

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v42.i1.30 ◽

2010 ◽

Vol 42 (1) ◽

pp. 32-41

Author(s):

Larisa A. Vlasenko ◽

Mikhail F. Bondarenko

Keyword(s):

Distributed Systems ◽

Discrete Time ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Regulator Problem

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Computational methods for optimal linear-quadratic compensators for infinite dimensional discrete-time systems

Lecture Notes in Control and Information Sciences - Distributed Parameter Systems ◽

10.1007/bfb0041986 ◽

2006 ◽

pp. 120-135 ◽

Cited By ~ 3

Author(s):

J. S. Gibson ◽

I. G. Rosen

Keyword(s):

Computational Methods ◽

Discrete Time ◽

Linear Quadratic ◽

Infinite Dimensional ◽

Discrete Time Systems ◽

Optimal Linear ◽

Time Systems

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Output feedback reinforcement Q-learning control for the discrete-time linear quadratic regulator problem

2017 IEEE 56th Annual Conference on Decision and Control (CDC) ◽

10.1109/cdc.2017.8263836 ◽

2017 ◽

Cited By ~ 10

Author(s):

Syed Ali Asad Rizvi ◽

Zongli Lin

Keyword(s):

Discrete Time ◽

Output Feedback ◽

Linear Quadratic Regulator ◽

Learning Control ◽

Linear Quadratic ◽

Q Learning ◽

Regulator Problem ◽

Time Linear

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Approximate Linear Quadratic Regulator Problem and Its Application to Optimal Control in Discrete-Time LTI Systems

Lecture Notes in Electrical Engineering - Intelligent Control and Innovative Computing ◽

10.1007/978-1-4614-1695-1_5 ◽

2011 ◽

pp. 53-64

Author(s):

Kazuyoshi Mori

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Regulator Problem

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The Discrete-Time Linear Quadratic Regulator Problem

State Space and Input-Output Linear Systems ◽

10.1007/978-1-4612-3816-4_27 ◽

1998 ◽

pp. 393-405

Author(s):

David F. Delchamps

Keyword(s):

Discrete Time ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Regulator Problem ◽

Time Linear

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Shifting the closed-loop spectrum in the optimal linear quadratic regulator problem for hereditary systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1987.1104718 ◽

1987 ◽

Vol 32 (9) ◽

pp. 831-836

Author(s):

J. Gibson ◽

I. Rosen

Keyword(s):

Closed Loop ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Regulator Problem ◽

Optimal Linear

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A Numerical Method for Computing the Approximate Solution of the Infinite-Dimensional Discrete-Time Optimal Linear Filtering Problem

Mutual Impact of Computing Power and Control Theory ◽

10.1007/978-1-4615-2968-2_10 ◽

1993 ◽

pp. 151-158

Author(s):

L. Jetto

Keyword(s):

Approximate Solution ◽

Numerical Method ◽

Discrete Time ◽

Linear Filtering ◽

Infinite Dimensional ◽

Optimal Linear ◽

Time Optimal ◽

Filtering Problem ◽

Optimal Linear Filtering

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An Infinite-Dimensional Fractional Linear Quadratic Regulator Problem

Stochastic Analysis and Applications ◽

10.1080/07362994.2012.649618 ◽

2012 ◽

Vol 30 (2) ◽

pp. 203-219

Author(s):

W. Grecksch ◽

V. V. Anh

Keyword(s):

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Infinite Dimensional ◽

Regulator Problem

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Linear quadratic regulator problem for infinite dimensional linear systems with delays in control

10.1109/cdc.1988.194687 ◽

2003 ◽

Cited By ~ 2

Author(s):

K. Ito ◽

H.T. Tran

Keyword(s):

Linear Systems ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Infinite Dimensional ◽

Regulator Problem

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Output Feedback Q-Learning Control for the Discrete-Time Linear Quadratic Regulator Problem

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2018.2870075 ◽

2019 ◽

Vol 30 (5) ◽

pp. 1523-1536 ◽

Cited By ~ 9

Author(s):

Syed Ali Asad Rizvi ◽

Zongli Lin

Keyword(s):

Discrete Time ◽

Output Feedback ◽

Linear Quadratic Regulator ◽

Learning Control ◽

Linear Quadratic ◽

Q Learning ◽

Regulator Problem ◽

Time Linear

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