EXPONENTIAL STABILITY FOR A CLASS OF SWITCHED STOCHASTIC SYSTEMS

• 作者: Lu Xiaomei ChenWuhua Wang Lili
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 稳定性理论 开关随机系统 子系统矩阵 开关定理
• 年，卷（期）: 2005,（3）
• 页码范围: 366-369
• 页数: 4页
• 分类号: O175.21

摘要

<正>In this paper, the stability properties for a class of switched stochastic systems with commutative componentwise subsystem matrices are studied. Under some switching law, the trivial solutions of the above systems are proved to be exponentially stable in mean square and almost sure exponentially stable if the random perturbations are sufficiently 'small'.