%0 Journal Article
%T Exponential Stability of Linear Systems with Multiple Time-varying Delays<br>线性多时变时滞系统的指数稳定性
%A XU Bu-Gong
%A <br>胥布工
%J 自动化学报
%D 2007
%I 
%X Based on the established new-type exponential stability theorem for general retarded dynamical systems and two preliminary lemmas,less conservative stability conditions for linear systems with multiple time-varying delays are established by using the new stability analysis approach of Lyapunov function.Unlike some results in the literature,none of the established results depends on the derivatives of the time-varying delays.Therefore,the results are suitable to the cases with very fast time-varying delays.An example is provided to show that the stability conditions obtained are better than the ones obtained directly based on the standard Razumikhin-type condition in the literature.
%K Exponential stability
%K stability theorem
%K dynamical systems with time-varying delays<br>线性系统
%K 指数稳定性
%K 稳定性定理
%K 动力系统
%K 时间变化迟滞
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=C144B835096975668292AEEB99440EE0&yid=A732AF04DDA03BB3&vid=27746BCEEE58E9DC&iid=59906B3B2830C2C5&sid=5A700C739C4FF128&eid=74FE4F3839E9253E&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=36