时滞依赖的鲁棒稳定性分析  

Delay-Dependent Robust Stability Analysis

作　　者：薛妍 XUE Yan(Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学学院

出　　处：《太原师范学院学报（自然科学版）》2019年第4期30-32,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：在许多实际系统中,普遍存在时滞这一现象,并且时滞的存在往往会导致整个系统的性能有所下降,甚至使系统失去稳定性,因此,研究时滞系统中含有时滞依赖的稳定性具有非常重要的理论意义.通过运用Lyapunov稳定性理论和线性矩阵不等式方法,并结合矩阵的Schur补性质,从而推导出时滞依赖系统的鲁棒稳定性判据.In many practical systems,the phenomenon of time-delay exists universally,and the existence of time-delay often leads to the performance degradation of the whole system,or even to the loss of stability of the system. Therefore,it is of great theoretical significance to study the stability of time-delay systems with time-delay dependence. In qualitative problem,by using Lyapunov stability theory and linear matrix inequality method,and combining Schur complement property of matrix,the robust stability criterion of delay-dependent systems is derived.

关 键 词：时滞系统 时滞依赖的鲁棒稳定性 LYAPUNOV稳定性理论 线性矩阵不等式 Schur补性质 

分 类 号：O231.9[理学—运筹学与控制论]