| 引用本文: | 赵旭东,王礼,凌明祥,曾庆双.It?型Markov切换系统时滞相关指数稳定性[J].哈尔滨工业大学学报,2010,42(3):378.DOI:10.11918/j.issn.0367-6234.2010.03.011 |
| ZHAO Xu-dong,WAGN Li,LING Ming-xiang,ZENG Qing-shuang.Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays[J].Journal of Harbin Institute of Technology,2010,42(3):378.DOI:10.11918/j.issn.0367-6234.2010.03.011 |
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| 摘要: |
| 研究了时变时滞满足h1≤d(t)≤h2的It?型随机Markov切换系统的区间时滞相关指数稳定性.通过构造不同的Lyapunov-Krasovskii函数,并通过引入一些改进的积分等式方法,以线性矩阵不等式的形式提出了具有较小保守性的区间时滞依赖指数稳定性条件.最后通过数值算例说明本文结论的有效性及具有较低的保守性. |
| 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 |
| DOI：10.11918/j.issn.0367-6234.2010.03.011 |
| 分类号:TP13 |
| 基金项目: |
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| Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays |
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ZHAO Xu-dong, WAGN Li, LING Ming-xiang, ZENG Qing-shuang
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Space Control and Inertial Technology Institute,Harbin Institute of Technology,Harbin 150001,China
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| Abstract: |
| In this paper,the delay-range-dependent exponential stability problems for Ito^ stochastic Markovian jump linear systems with interval time-varying delays satisfying h1≤d(t) ≤h 2 are investigated.In terms of linear matrix inequalities,the criteria of less conservative delay-range-dependent stability for Ito^ stochastic Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function and introducing some improved integral-equalities.Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper. |
| Key words: delay-dependent stability markovian jump systems interval time-varying delays linear matrix inequalities |
