| EXPONENTIAL ESTIMATES FOR STOCHASTIC DELAY HYBRID SYSTEMS WITH MARKOVIAN SWITCHING |
| |
| 作者姓名： | Wang Hongchu Hu Shigeng Lian Baosheng |
| |
| 作者单位： | 1，2 |
| |
| 摘 要： | This paper deals with the problem of norm bounds for the solutions of stochastic hybrid systems with Markovian switching and time delay.Based on Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality(LMI)approach,mean square exponential estimates for the solutions of this class of linear stochastic hybrid systems are derived.Finally,An example is illustrated to show the applicability and effectiveness of our method.
|
| 关 键 词： | 指数评估 线性矩阵不等式 马尔可夫链 随机迟滞混合系统 |
| 文章编号： | 10.1007/s11766-007-0311-5 |
| 修稿时间： | 2006-07-23 |
Exponential estimates for stochastic delay hybrid systems with Markovian switching |
| |
| Wang Hongchu Hu Shigeng Lian Baosheng.EXPONENTIAL ESTIMATES FOR STOCHASTIC DELAY HYBRID SYSTEMS WITH MARKOVIAN SWITCHING[J].Applied Mathematics A Journal of Chinese Universities,2007,22(3):334-342. |
| |
| Authors: | Wang Hongchu Hu Shigeng Lian Baosheng |
| |
| Institution: | (1) School of Math. Sci., South China Normal Univ., Guangzhou, 510631, China;(2) Dept. of Math., Huazhong Univ. of Sci. and Tech., Wuhan, 430074, China |
| |
| Abstract: | This paper deals with the problem of norm bounds for the solutions of stochastic hybrid systems with Markovian switching and time delay. Based on Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality (LMI) approach, mean square exponential estimates for the solutions of this class of linear stochastic hybrid systems are derived. Finally, An example is illustrated to show the applicability and effectiveness of our method. |
| |
| Keywords: | exponential estimate linear matrix inequality (LMI) uncertainty Lyapunov-Krasovskii functional |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
