%0 Journal Article
%T Global exponential stability for distributed parameter systems with varying time-delay<br>变时滞分布参数系统的全局指数稳定性
%A LUO Yi-ping
%A DENG Fei-qi
%A <br>罗毅平
%A 邓飞其
%J 控制理论与应用
%D 2005
%I 
%X Based on the comparison principle,the global exponential stability for a class of sliding mode equations rising in distributed parameter control system with varying time-delay is investigated by using general vector Hanalay's differential inequality,Dini's derivative,Green formulation,and technique of inequality analysis.Under the conditions that the coefficient of distributed parameter system is an M-matrix,sufficient conditions are derived for global exponential stability for the sliding mode equations with varying time-delay and several theorems of the global exponential stability for the sliding mode equations are established.It is shown that the estimates obtained from the Hanalay-type inequalities improve the estimates obtained from Lyapunov methods.Some previous works are improved.The results on the global exponential stability of the distributed parameter control systems with varying time-delay provide the theoretical foundation for the variable structure control problem of the distributed parameter systems.
%K distributed parameter
%K global exponential stability
%K varying time-delay
%K vector Hanalay inequality
%K Dini's derivative<br>分布参数
%K 全局指数稳定性
%K 变时滞
%K 向量Hanalay不等式
%K Dini导数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=E40DE88784B93B9B&yid=2DD7160C83D0ACED&vid=BC12EA701C895178&iid=E158A972A605785F&sid=12AD09BCF4A6E651&eid=CDC418F38C4BFD60&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=14