%0 Journal Article
%T Exponential Stability of Switched Systems with Delay: a Multiple Lyapunov Function Approach<br>时滞切换系统指数稳定性分析: 多Lyapunov函数方法
%A CONG Shen
%A FEI Shu-Min
%A LI Tao
%A <br>丛山
%A 费树岷
%A 李涛
%J 自动化学报
%D 2007
%I 
%X The switched system consisting of a family of subsystems with delay is considered. In the time-delay situation, the multiple Lyapunov function approach is generalized to investigate the effect of switching and state-delay on stability. Using the Halanay inequality, the delay-dependent constraint condition on switching sequence is derived to guarantee the exponential stability. In the situation without time delay, the correspondent analysis result of switching effect on stability is a special case of our conclusions. Numerical examples are given to demonstrate the proposed approach.
%K Switched systems
%K time-delay
%K exponential stability
%K Halanay inequality<br>切换系统
%K 时滞
%K 指数稳定
%K Halanay不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=B59A4CB2BB07F626&yid=A732AF04DDA03BB3&vid=27746BCEEE58E9DC&iid=9CF7A0430CBB2DFD&sid=80B081C203919926&eid=BB44F42BE8AE7430&journal_id=0254-4156&journal_name=自动化学报&referenced_num=1&reference_num=13