具有多滞后时变区间Lurie间接控制系统的指数稳定性  

Exponential Stability Criteria for Time Varying Interval Lurie Indirect Control Systems with Multi-time Delays

作　　者：樊冲[1] 包俊东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《工程数学学报》2011年第1期43-49,共7页Chinese Journal of Engineering Mathematics

基　　金：内蒙古自然科学基金(2010MS0109);内蒙古师范大学研究生科研创新基金(CXJJS08010)~~

摘　　要：本文讨论了具有多滞后时变区间Lurie间接控制系统的指数稳定性问题.通过引入多时滞时变区间控制系统的指数稳定性的概念,采用矩阵测度和时滞微分不等式,对具有多个滞后的时变区间Lurie间接控制系统的指数稳定性做了研究,并给出了此系统指数稳定性的若干充分条件.最后给出数值例子说明了本文结论的有效性.In this paper,the problem of exponential stability of time varying interval Lurie indirect control systems with multi-time delays is concerned.Through introducing the conception of exponential stability for time varying interval Lurie indirect control systems and employing matrix measurement and inequalities with time delay,the exponential stability of time varying interval Lurie indirect control systems with multi-time delays is studied.Some sufficient conditions for the exponential stability of the systems are obtained.In the end,a numerical example is given to illustrate the efficiency of the propose results.

关 键 词：Lurie间接控制系统 矩阵测度 时滞微分不等式 指数稳定 

分 类 号：O175.13[理学—数学] TP202[理学—基础数学]