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一类非线性切换时延系统的鲁棒稳定性 被引量：2

Robust stability for one non-linear switched delay systems
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摘要 本文通过利用平均驻留时间方法,研究一类具有不确定性非线性切换时延系统的指数稳定性问题。给出非切换系统的候选李雅普诺夫函数的衰减估计分析,然后以线性矩阵不等式的形式给出使系统保持指数稳定及鲁棒指数稳定的充分条件,同时也给出了系统状态指数衰减的具体的估计形式。 In this paper,we study one kind of non-linear switched delay systems with uncertainty.Analysis of the decay estimate of Lyapunov functional candidate of non-switched system is given.Sufficient conditions for exponential stability are developed with average dwell time.These conditions are given in the form of linear matrix inequalities （LMIs）.Also exponential decay of the system state is estimated.
作者 王勃
机构地区 上海交通大学自动化系
出处 《微计算机信息》 2010年第1期168-169,共2页 Control & Automation
关键词 平均驻留时间 指数稳定 李雅普诺夫函数 线性矩阵不等式 Average dwell time Exponential stability Lyapunov functional LMI
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献7

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共引文献1

同被引文献11

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  • 10朱其新,胡寿松,侯霞.长时滞网络控制系统的随机稳定性研究[J].东南大学学报（自然科学版）,2003,33(3):368-371. 被引量：30

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2010年 第1期

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