矩阵方程 的解及其应用

邓飞其; 冯昭枢; 刘永清

引用本文:	邓飞其,冯昭枢,刘永清.矩阵方程的解及其应用[J].控制理论与应用,1996,13(2):163~168.[点击复制]
	DENG Feiqi ,FENG Zhoushu and LIU Yongqing.Solution to Matrix Equation with Applications[J].Control Theory and Technology,1996,13(2):163~168.[点击复制]

矩阵方程的解及其应用

Solution to Matrix Equation with Applications

摘要点击 1009 全文点击 544 投稿时间：1994-10-27 修订日期：1995-06-20

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DOI编号

1996,13(2):163-168

中文关键词矩阵方程 Kronecker积 Kronecker和随机系统时滞系统稳定性

英文关键词 matrix equation Kronecker,s product Kronecker,s sum stochastic system delay system stability

基金项目

作者	单位
邓飞其,冯昭枢,刘永清	华南理工大学自动化系

中文摘要

本文以Lyapunov矩阵方程理论为基础研究矩阵方程解的存在性、唯一性、基本解法与数值算法，并用所得的结果研究一类It?型线性随机系统的均方鲁棒稳定性与一类线性时滞系统的稳定性，大道理简洁的代数判据.

英文摘要

In this paper，the existence，uniqueness，elementary solution and numerical algorithm of solution to matrix equation are investigated based on the theory of Lyapunov matrix equations.With the results obtained，the robust mean-square stability of a type of linear It? stochastic systems and the stability of a type of delay linear systems are studied and some simple algebraic criteria for stability are obtained.