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单滞后时变区间动力系统的指数稳定性
引用本文:孙继涛,邓飞其,刘永清.单滞后时变区间动力系统的指数稳定性[J].控制理论与应用,2001,18(2):260-262.
作者姓名:孙继涛  邓飞其  刘永清
作者单位:华南理工大学自动控制工程系
基金项目:国家自然科学基金! (6 98740 15 )重点项目,高等学校骨干教师资助计划资助项目
摘    要:用矩阵测度和时滞微分不等式研究了单滞后时变区间动力系统 x(t) =NP(t) ,Q(t) ]x(t) +NC(t) ,D(t) ]x(t -τ) ,τ≥ 0 的指数稳定性 ,给出了其指数稳定的判别准则 ,推广和改进了文 1~ 3]的工作

关 键 词:单滞后时变区间动力系统  指数稳定性  鲁棒稳定性  矩阵测度
文章编号:1000-8152(2001)02-0260-03
收稿时间:1999/10/7 0:00:00
修稿时间:1999年10月7日

Exponential Stability of Time Varying Interval Dynamical Systems with Time Delay
SUN Ji-tao,DENG Fei-qi and LIU Yong-qing.Exponential Stability of Time Varying Interval Dynamical Systems with Time Delay[J].Control Theory & Applications,2001,18(2):260-262.
Authors:SUN Ji-tao  DENG Fei-qi and LIU Yong-qing
Affiliation:Department of Automatic Control Engineering, South China University of Technology, Guangzhou, 510640,P.R.China; Institute of Mathematics, Tongji University, Shanghai, 200331,P.R.China;Department of Automatic Control Engineering, South China University of Technology, Guangzhou, 510640,P.R.China;Department of Automatic Control Engineering, South China University of Technology, Guangzhou, 510640,P.R.China
Abstract:Investigate the exponential stability for a kind of time-varying interval dynamical systems with time delay: (t)=N[P(t),Q(t)]x(t)+N[C(t),D(t)]x(t-τ),τ≥0. The sufficient conditions of exponential stability about this system are obtained by matrix measure and delay differential inequality, the results of the paper [1~3] are extended and improved.
Keywords:time  varying interval systems  time delay  exponential stability  matrix measure  delay differential inequality
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