| 带有加性时变时滞的级联切换系统的指数稳定性 |
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| 引用本文： | 李莉莉,王颖楠,曹庆蕊,张广玲.带有加性时变时滞的级联切换系统的指数稳定性[J].辽宁师范大学学报(自然科学版),2014(3):308-313. |
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| 作者姓名： | 李莉莉 王颖楠 曹庆蕊 张广玲 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连116029 |
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| 基金项目： | 国家自然科学基金项目（61304056）;辽宁省高等学校科学技术研究项目（L2013409） |
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| 摘 要： | 讨论了带有加性时滞的级联切换系统的指数稳定性.将网络控制系统中的网络诱导时延和数据丢包问题归结为切换系统的各子系统中的两个加性时滞,并构造相应的Lyapunov-Krasovskii泛函.设计满足平均驻留时间条件的切换规则,并结合Jensen积分不等式,以线性矩阵不等式的形式给出确保带有加性时滞的级联切换系统指数稳定的充分条件,所得结果具有更小的保守性.最后用数值例子验证了该方法的有效性.
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| 关 键 词： | 级联切换系统 加性时变时滞 平均驻留时间 Jensen积分不等式 |
Exponential stability for cascade switched systems with additive time-varying delays |
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| LI Lili,WANG Yingnan,CAO Qingrui,ZHANG Guangling.Exponential stability for cascade switched systems with additive time-varying delays[J].Journal of Liaoning Normal University(Natural Science Edition),2014(3):308-313. |
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| Authors: | LI Lili WANG Yingnan CAO Qingrui ZHANG Guangling |
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| Institution: | (School of Mathematics, Liaoning Normal University, Dalian 116029, China) |
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| Abstract: | This paper discusses the exponential stability for cascade switched systems with two additive time-varying delays. By considering the network-induced delays and the packet dropout of net- worked control systems as two additive time-varying delay components, a new type of Lyapunov- Krasovskii functional is constructed. Combining with the J ensen＇s integral inequality, less conservative exponential stability sufficient conditions are developed for cascade switched systems with two additive time-varying delays for switching rules satisfying average dwell time condition via linear matrix inequalities. A numerical example is provided to illustrate the effectiveness of the proposed method. |
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| Keywords: | cascade switched systems additive time-varying delay average dwell time Jensen＇ s integral inequality |
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