Stability analysis for discrete-time switched time-delay systems

Stability analysis for discrete-time switched time-delay systems
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离散时间切换时滞系统的稳定性分析

DOI:
10.1016/j.automatica.2009.05.027
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发表时间:
2009
期刊:
影响因子:
6.4
通讯作者:
Yu Li
Yu Li
中科院分区:
计算机科学2区
文献类型:
--
作者:
Zhang Wen-An;Yu Li

文献摘要

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研究了一类离散切换时滞系统的稳定性分析问题。利用新构造的李雅普诺夫泛函和平均驻留时间方法,得到了系统指数稳定的时滞相关充分条件。所得到的结果提供了一个解决方案的基本问题之一,在离散时间切换时滞系统,即,找到一个切换信号的切换时滞系统是指数稳定的。最后通过两个算例验证了所得结果的有效性.
The stability analysis problem is studied in this paper for a class of discrete-time switched time-delay systems. By using a newly constructed Lyapunov functional and the average dwell time scheme, a delay-dependent sufficient condition is derived for the considered system to be exponentially stable. The obtained results provide a solution to one of the basic problems in discrete-time switched time-delay systems, that is, to find a switching signal for which the switched time-delay system is exponentially stable. Two illustrative examples are given to demonstrate the effectiveness of the proposed results.