A structured condition number for self-adjoint polynomial matrix equations with applications in linear control-Reference-Cited by-同舟云学术

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A structured condition number for self-adjoint polynomial matrix equations with applications in linear control

Published:2018-03 Issue: Volume:331 Page:208-216
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Jia Zhi-Gang^ORCID,Zhao Mei-Xiang

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference25 articles.

1. Matrix Riccati Equations in Control and Systems Theory;Abou-Kandil,2003

2. The Algebraic Riccati Equation;Lancaster,1995

3. Invariant metrics, contractions and nonlinear matrix equations;Lee;Nonlinearity,2008

4. On the nonlinear matrix equation X+A∗F(X)A=Q: solutions and perturbation theory;Ran;Linear Algebra Appl.,2002

5. Perturbation theory for algebraic Riccati equations;Sun;SIAM J. Matrix Anal. Appl.,1998

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1. Hermitian Polynomial Matrix Equations and Applications;Matrix and Operator Equations and Applications;2023

2. On Iterative Algorithm and Perturbation Analysis for the Nonlinear Matrix Equation;Communications on Applied Mathematics and Computation;2021-09-27

3. New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems;Automatica;2020-06

4. Solutions to matrix equations X−AXB=CY+R and X−AX̂B=CY+R;Journal of Computational and Applied Mathematics;2018-12

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