| 随机系统的Peuteman-Aeyels指数稳定性定理 |
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| 引用本文： | 慕小武,刘海军.随机系统的Peuteman-Aeyels指数稳定性定理[J].数学的实践与认识,2007,37(9):157-163. |
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| 作者姓名： | 慕小武 刘海军 |
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| 作者单位： | 郑州大学,数学系,河南,郑州,450052 |
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| 摘 要： | 把Peuteman-Aeyels指数稳定性定理从确定性系统推广到随机系统.并借此讨论了随机混杂系统的均方指数镇定问题,得出了系统在同步切换下可镇定的充分必要条件.
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| 关 键 词： | 离散系统 随机系统 指数稳定性 混杂系统 S-程序 |
| 修稿时间： | 2006年2月14日 |
Exponential Stability Theorem of Peuteman-Aeyels for Stochastic Systems |
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| MU Xiao-wu,LIU Hai-jun.Exponential Stability Theorem of Peuteman-Aeyels for Stochastic Systems[J].Mathematics in Practice and Theory,2007,37(9):157-163. |
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| Authors: | MU Xiao-wu LIU Hai-jun |
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| Abstract: | The exponential stability theorem of Peuteman-Aeyels is extended from deterministic framework to stochastic setting.Using the new approach the mean square exponential stabilization of stochastic systems is discussed,and a sufficient and necessary condition is obtained. |
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| Keywords: | discrete system stochastic system hybrid system exponential stability S-procedure |
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