Stability and L2-gain analysis for switched delay systems: A delay-dependent method
Stability and L2-gain analysis for switched delay systems: A delay-dependent method
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DOI：
10.1016/j.automatica.2006.05.007
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发表时间：
2006-10
期刊：
影响因子：
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通讯作者：
Ximing Sun;Jun Zhao;D. Hill
中科院分区：
文献类型：
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作者：
Ximing Sun;Jun Zhao;D. Hill
本文研究了一类具有时变时滞的切换系统的稳定性和L2增益。针对一类具有平均驻留时间的开关信号，给出了指数稳定和加权L2增益的充分条件。这些条件是时滞相关的，并给出了线性矩阵不等式（LMI）的形式。作为这类开关信号的一种特殊情况，我们可以在任意开关信号下得到指数稳定性和正常的L2增益。明确给出了状态衰减估计。两个例子说明了所提出的方法的有效性和适用性。
In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.