Discrete-time Lyapunov stability of large matrices

M. Robbe; M. Sadkane

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Discrete-time Lyapunov stability of large matrices

机译：大型矩阵的离散Lyapunov稳定性

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摘要

A hybrid method for analyzing the discrete-time Lyapunov stability of large matrices is proposed. The method combines Lyapunov theory with Krylov subspace techniques. Several numerical tests illustrate the behavior of the proposed method.

机译：提出了一种分析大矩阵离散Lyapunov稳定性的混合方法。该方法将Lyapunov理论与Krylov子空间技术结合在一起。几个数值测试说明了该方法的行为。

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《Journal of Computational and Applied Mathematics 》 |2000年第2期| 共16页
作者
M. Robbe; M. Sadkane;
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正文语种 eng
中图分类应用数学 ;
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1. Discrete-time Lyapunov stability of large matrices [J] . M. Robbe, M. Sadkane Journal of Computational and Applied Mathematics . 2000 ,第1a2期

机译：大型矩阵的离散Lyapunov稳定性
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3. Stability analysis and robust performance of periodic discrete-time uncertain systems via structured Lyapunov functions [J] . Keles Natalia A., Agulhari Cristiano M., Lacerda Marcio J. European Journal of Control . 2021 ,第Mara期

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4. A novel large-signal stability analysis approach based on semi-tensor product of matrices with Lyapunov stability theorem for DC-DC converters [C] . Hong Li, Fang Ren, Jianing Shang, IEEE Energy Conversion Congress and Exposition . 2016

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5. The Lyapunov exponents for Schroedinger operators and Jacobi matrices with slowly oscillating potentials [D] . Zhu, Yunfeng 1996

机译：具有缓慢振荡势的Schroedinger算子和Jacobi矩阵的Lyapunov指数
6. Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [O] . Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu 2013

机译：基于不可逆线性离散系统的Lyapunov函数的非均匀指数二分法
7. Discrete-time Lyapunov stability of large matrices [O] . Robbé M., Sadkane M. 2000

机译：大型矩阵的离散Lyapunov稳定性
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

Discrete-time Lyapunov stability of large matrices

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