Upper solution bounds of the continuous and discrete coupled algebraic Riccati equations

Richard Davies; Peng Shi; Ron Wiltshire

doi:10.1016/j.automatica.2007.11.001

Upper solution bounds of the continuous and discrete coupled algebraic Riccati equations

Automatica ◽

10.1016/j.automatica.2007.11.001 ◽

2008 ◽

Vol 44 (4) ◽

pp. 1088-1096 ◽

Cited By ~ 20

Author(s):

Richard Davies ◽

Peng Shi ◽

Ron Wiltshire

Keyword(s):

Riccati Equations ◽

Upper Solution ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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Computation of Upper Solution Bounds for Continuous Algebraic Riccati Equations

2010 International Conference on Computational and Information Sciences ◽

10.1109/iccis.2010.40 ◽

2010 ◽

Cited By ~ 1

Author(s):

Wei Zhang ◽

Ming Jin ◽

Zhengzhi Han

Keyword(s):

Riccati Equations ◽

Upper Solution ◽

Algebraic Riccati Equations

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Maximal mean square strong solution for discrete time coupled algebraic Riccati equations

Proceedings of 1994 33rd IEEE Conference on Decision and Control ◽

10.1109/cdc.1994.410880 ◽

2002 ◽

Author(s):

O.L.V. Costa

Keyword(s):

Strong Solution ◽

Discrete Time ◽

Riccati Equations ◽

Mean Square ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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Mean-square stabilizing solutions for discrete-time coupled algebraic Riccati equations

IEEE Transactions on Automatic Control ◽

10.1109/9.489282 ◽

1996 ◽

Vol 41 (4) ◽

pp. 593-598 ◽

Cited By ~ 19

Author(s):

O.L.V. Costa

Keyword(s):

Discrete Time ◽

Riccati Equations ◽

Mean Square ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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Dynamic algorithms for solving coupled algebraic Riccati equations arising in mixed H2=H∞ control for scalar linear systems

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7798343 ◽

2016 ◽

Cited By ~ 1

Author(s):

T. Mylvaganam ◽

A. Astolfi

Keyword(s):

Linear Systems ◽

Riccati Equations ◽

Dynamic Algorithms ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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Lyapunov Iterations for Solving Coupled Algebraic Riccati Equations of Nash Differential Games and Algebraic Riccati Equations of Zero-Sum Games

New Trends in Dynamic Games and Applications ◽

10.1007/978-1-4612-4274-1_17 ◽

1995 ◽

pp. 333-351 ◽

Cited By ~ 15

Author(s):

T-Y. Li ◽

Z. Gajic

Keyword(s):

Differential Games ◽

Riccati Equations ◽

Zero Sum Games ◽

Algebraic Riccati Equations ◽

Zero Sum ◽

Coupled Algebraic Riccati Equations ◽

Nash Differential Games

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New upper solution bounds for perturbed continuous algebraic Riccati equations applied to automatic control

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2006.06.096 ◽

2007 ◽

Vol 32 (2) ◽

pp. 487-495 ◽

Cited By ~ 18

Author(s):

Richard Davies ◽

Peng Shi ◽

Ron Wiltshire

Keyword(s):

Automatic Control ◽

Riccati Equations ◽

Upper Solution ◽

Algebraic Riccati Equations

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Generalized Coupled Algebraic Riccati Equations for Discrete-time Markov Jump with Multiplicative Noise Systems

European Journal of Control ◽

10.3166/ejc.14.391-408 ◽

2008 ◽

Vol 14 (5) ◽

pp. 391-408 ◽

Cited By ~ 16

Author(s):

Oswaldo Luiz do Valle Costa ◽

Wanderlei L. de Paulo

Keyword(s):

Discrete Time ◽

Multiplicative Noise ◽

Riccati Equations ◽

Markov Jump ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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A method to solve the discrete-time coupled algebraic Riccati equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.08.034 ◽

2008 ◽

Vol 206 (1) ◽

pp. 34-41 ◽

Cited By ~ 5

Author(s):

Ivan Ganchev Ivanov

Keyword(s):

Discrete Time ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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On the iterative refinement of matrix upper bounds for the solution of continuous coupled algebraic Riccati equations

Automatica ◽

10.1016/j.automatica.2013.03.022 ◽

2013 ◽

Vol 49 (7) ◽

pp. 2168-2175 ◽

Cited By ~ 4

Author(s):

Jianhong Xu ◽

MingQing Xiao

Keyword(s):

Riccati Equations ◽

Upper Bounds ◽

Iterative Refinement ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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Numerical algorithm for solving cross-coupled algebraic Riccati equations related to Nash games of multimodeling systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002. ◽

10.1109/cdc.2002.1185023 ◽

2004 ◽

Cited By ~ 4

Author(s):

H. Mukaidani ◽

T. Shimomura ◽

Hua Xu

Keyword(s):

Numerical Algorithm ◽

Riccati Equations ◽

Nash Games ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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