一类具有时滞非自治线性系统的指数稳定性  

Exponential Stability of a Nonautonomous Linear System with Time-varying Delays

作　　者：杨红伟[1] 杨霞[1] 洪燕君[1] 

机构地区：[1]石河子大学师范学院/兵团教育学院,石河子832003

出　　处：《石河子大学学报（自然科学版）》2009年第3期369-372,共4页Journal of Shihezi University(Natural Science)

摘　　要：为探讨一类具时滞非自治线性系统指数的稳定性及其实用性,本文利用Lyapunov函数方法和线性矩阵不等式及Riccati微分方程解的性质等,给出了这类线性系统指数稳定性的充分条件,这些充分条件可用线性矩阵不等式表示,且表达式中含有时滞项。实例举证说明本文得到的结果具有一般性和实用性。To study the exponential stability for nonautonomous linear system with time-varying delays, this paper applies the methods of the Lyapunov-Krasovskii function and some analysis, to give sufficient conditions for the exponential stability of nonautonomous linear system by using linear matrix inequalities and the solution of Riccati differential equations. And these conditions can be expressed by LMIs, and be dependent on both the discrete time delays. The paper uses examples to testify the accuracy and practicality of the results, and to applicate and extend the results.

关 键 词：非自治线性系统 时滞 指数稳定性 线性矩阵不等式 

分 类 号：R273.733[医药卫生—中西医结合]