%0 Journal Article
%T First order approximation of partial exponential stability of nonlinear time-varying systems<br>非线性时变系统部分指数稳定的一次近似
%A JIAN Ji-gui
%A LIAO Xiao-xin
%A <br>蹇继贵
%A 廖晓昕
%J 控制理论与应用
%D 2005
%I 
%X The first order approximation of the partial exponential stability of nonlinear time-varying systems is investigated by linearization approach of nonlinear systems.Based on Cauchy matrices solutions and its interceptive Cauchy matrices solutions of homogeneous linear systems,as well as the Gronwall-Bellman inequality,some sufficient conditions of partial exponential stability are obtained for the systems and some of these results are proved to be able to guarantee different exponential convergence for partial solutions of the systems.Finally,two numerical examples are presented to verify the effectiveness of proposed approach.
%K nonlinear time-varying systems
%K partial exponential stability
%K Cauchy matrices solution
%K interceptive Cauchy matrices solution
%K Gronwall-Bellman inequality
%K approximation of 1st degree<br>非线性时变系统
%K 部分指数稳定
%K Cauchy矩阵解
%K 截断Cauchy矩阵解
%K Gronwall_Bellman不等式
%K 一次近似
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=8D7DFBF12EA83275&yid=2DD7160C83D0ACED&vid=BC12EA701C895178&iid=E158A972A605785F&sid=7E2D9DFE40003B3F&eid=9BF3B0483F192149&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=12