| 基于时滞分割法的Markov随机切换系统指数稳定性 |
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| 引用本文： | 赵旭东,凌明祥,曾庆双.基于时滞分割法的Markov随机切换系统指数稳定性[J].系统工程与电子技术,2009,31(9):2200-2207. |
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| 作者姓名： | 赵旭东 凌明祥 曾庆双 |
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| 作者单位： | 哈尔滨工业大学空间控制与惯性技术研究中心, 黑龙江, 哈尔滨, 150001 |
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| 摘 要： | 研究了时变时滞满足h1≤d(t)≤h2的Itô型随机Markov切换系统的区间时滞相关指数稳定性。基于时滞分割的思想,建立了新颖的Lyapunov-Krasovskii泛函,并引入一些改进的积分等式,以线性矩阵不等式的形式给出了低保守性的区间时滞相关指数稳定条件。最后用几个数值算例说明该结论的有效性及其较低的保守性。
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| 关 键 词： | 时滞相关稳定性 Markov切换系统 区间时变时滞 线性矩阵不等式 |
| 收稿时间： | 2008-09-10 |
Exponential stability for stochastic Markovian jump systems through time fractioning approach |
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| ZHAO Xu-dong,LING Ming-xiang,ZENG Qing-shuang.Exponential stability for stochastic Markovian jump systems through time fractioning approach[J].System Engineering and Electronics,2009,31(9):2200-2207. |
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| Authors: | ZHAO Xu-dong LING Ming-xiang ZENG Qing-shuang |
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| Institution: | Space Control and Inertial Technology Inst., Harbin Inst. of Technology, Harbin 150001, China |
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| Abstract: | The delay-range-dependent exponential stability problems for Itô stochastic Markovian jump linear systems with interval time-varying delays satisfying h1≤d(t)≤h2 are investigated.In terms of linear matrix inequalities,a less conservative delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay and introducing new integral-equality approaches.Numerical examples are provided to demonstrate the effectiveness and less conservativeness of the results. |
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