A class of fixed point iteration for the coupled algebraic Riccati equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01697-5 ◽

2022 ◽

Author(s):

Juan Zhang ◽

Jianzhou Liu ◽

Fangfang Luo

Keyword(s):

Fixed Point ◽

Riccati Equation ◽

Algebraic Riccati Equation ◽

Fixed Point Iteration

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The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dny004 ◽

2018 ◽

Vol 36 (02) ◽

pp. 681-699

Author(s):

Juan Zhang ◽

Jianzhou Liu

Keyword(s):

Fixed Point ◽

Riccati Equation ◽

Algebraic Riccati Equation ◽

Fixed Point Iteration ◽

Discrete Algebraic Riccati Equation

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On applications of Schauderʼs fixed-point theorem for the solution of the non-symmetric algebraic Riccati equation

Linear Algebra and its Applications ◽

10.1016/j.laa.2013.12.012 ◽

2014 ◽

Vol 445 ◽

pp. 29-55 ◽

Author(s):

Y. Peretz

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Riccati Equation ◽

Point Theorem ◽

Algebraic Riccati Equation

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The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnw012 ◽

2016 ◽

pp. dnw012 ◽

Author(s):

Jianzhou Liu ◽

Li Wang ◽

Juan Zhang

Keyword(s):

Fixed Point ◽

Automatic Control ◽

Riccati Equation ◽

Iterative Algorithm ◽

Algebraic Riccati Equation

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New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2011.644276 ◽

2012 ◽

Vol 89 (4) ◽

pp. 527-542 ◽

Author(s):

Juan Zhang ◽

Jianzhou Liu

Keyword(s):

Fixed Point ◽

Riccati Equation ◽

Iterative Algorithm ◽

Algebraic Riccati Equation

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Differentiable Forward and Backward Fixed-Point Iteration Layers

IEEE Access ◽

10.1109/access.2021.3053764 ◽

2021 ◽

Vol 9 ◽

pp. 18383-18392

Author(s):

Younghan Jeon ◽

Minsik Lee ◽

Jin Young Choi

Keyword(s):

Fixed Point ◽

Fixed Point Iteration

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A new fixed point iteration method for nonlinear third-order BVPs

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1883594 ◽

2021 ◽

pp. 1-13

Author(s):

S. A. Khuri ◽

I. Louhichi

Keyword(s):

Fixed Point ◽

Iteration Method ◽

Third Order ◽

Fixed Point Iteration

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An extension on a new formulation of the algebraic Riccati equation problem

IEEE Transactions on Automatic Control ◽

10.1109/tac.1983.1103208 ◽

1983 ◽

Vol 28 (2) ◽

pp. 235-238 ◽

Author(s):

F. Incertis

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Equation Problem ◽

New Formulation

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The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part II

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426829 ◽

2012 ◽

Author(s):

Augusto Ferrante ◽

Lorenzo Ntogramatzidis

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Optimal Control Problems ◽

Algebraic Riccati Equation ◽

Control Problems ◽

Lq Optimal Control ◽

Discrete Algebraic Riccati Equation

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Sensitivity analysis and computable bounds for the generalized algebraic Riccati equation

Proceedings of 1994 American Control Conference - ACC '94 ◽

10.1109/acc.1994.735048 ◽

2005 ◽

Author(s):

R. Aripirala ◽

V.L. Syrmos

Keyword(s):

Sensitivity Analysis ◽

Riccati Equation ◽

Algebraic Riccati Equation

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Hamiltonian QR-algorithm for the Solving Algebraic Riccati Equation and Hessenberg Hamiltonian Matrices

1991 American Control Conference ◽

10.23919/acc.1991.4791840 ◽

1991 ◽

Author(s):

Leonid E. Faybusovich

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

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