Convergence Characterization of an Iterative Algorithm for Continuous Coupled Lyapunov Matrix Equations

2019 Chinese Control Conference (CCC) ◽

10.23919/chicc.2019.8865557 ◽

2019 ◽

Author(s):

Shun-Qiang You ◽

Ying Zhang ◽

Ai-Guo Wu

Keyword(s):

Iterative Algorithm ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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An iterative algorithm for discrete periodic Lyapunov matrix equations

10.1016/j.automatica.2017.06.012 ◽

2018 ◽

Vol 87 ◽

pp. 395-403 ◽

Author(s):

Ai-Guo Wu ◽

Wen-Xue Zhang ◽

Ying Zhang

Keyword(s):

Iterative Algorithm ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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An iterative algorithm for discrete Lyapunov matrix equations

IET Control Theory and Applications ◽

10.1049/cth2.12080 ◽

2021 ◽

Author(s):

Ai‐Guo Wu ◽

Ying Zhang ◽

Hui‐Jie Sun ◽

Hua‐Jie Duan

Keyword(s):

Iterative Algorithm ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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An Iterative Algorithm with a Tuning Parameter for Continuous Lyapunov Matrix Equations

2018 37th Chinese Control Conference (CCC) ◽

10.23919/chicc.2018.8484195 ◽

2018 ◽

Author(s):

Zhi-Qun Wang ◽

Hui-Jie Sun ◽

Ai-Guo Wu ◽

Hua Chai

Keyword(s):

Iterative Algorithm ◽

Tuning Parameter ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Convergence characterisation of an iterative algorithm for periodic Lyapunov matrix equations

International Journal of Systems Science ◽

10.1080/00207721.2019.1597945 ◽

2019 ◽

Vol 50 (6) ◽

pp. 1216-1228

Author(s):

Ying Zhang ◽

Ai-Guo Wu ◽

Yu Wang

Keyword(s):

Iterative Algorithm ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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An implicit iterative algorithm with a tuning parameter for Itô Lyapunov matrix equations

International Journal of Systems Science ◽

10.1080/00207721.2017.1407009 ◽

2017 ◽

Vol 49 (2) ◽

pp. 425-434 ◽

Author(s):

Ying Zhang ◽

Ai-Guo Wu ◽

Hui-Jie Sun

Keyword(s):

Iterative Algorithm ◽

Tuning Parameter ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations ◽

Implicit Iterative Algorithm

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Improved SOR iterative method for coupled Lyapunov matrix equations

Afrika Matematika ◽

10.1007/s13370-021-00911-8 ◽

2021 ◽

Author(s):

Liqing Bai ◽

Shijun Zhang ◽

Shiheng Wang ◽

Ke Wang

Keyword(s):

Iterative Method ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.08.011 ◽

2018 ◽

Vol 330 ◽

pp. 648-659 ◽

Author(s):

Davide Palitta ◽

Valeria Simoncini

Keyword(s):

Projection Methods ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Analytic perturbation of Sylvester and Lyapunov matrix equations

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

10.1109/cdc.2000.912152 ◽

2002 ◽

Author(s):

K.E. Avrachenkov ◽

J.B. Lasserre

Keyword(s):

Matrix Equations ◽

Analytic Perturbation ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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A new approximation algorithm for solving generalized Lyapunov matrix equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113898 ◽

2021 ◽

pp. 113898

Author(s):

Mehdi Dehghan ◽

Akbar Shirilord

Keyword(s):

Approximation Algorithm ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Projection methods for large Lyapunov matrix equations

Linear Algebra and its Applications ◽

10.1016/j.laa.2004.11.004 ◽

2006 ◽

Vol 415 (2-3) ◽

pp. 344-358 ◽

Author(s):

K. Jbilou ◽

A.J. Riquet

Keyword(s):

Projection Methods ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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