| 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 & Applications,1996,13(2):163~168.[点击复制] |
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| 矩阵方程 的解及其应用 |
| Solution to Matrix Equation with Applications |
| 摘要点击 1380 全文点击 687 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 |
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| 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. |