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单滞后时变区间动力系统的指数稳定性
Exponential Stability of Time Varying Interval Dynamical Systems with Time Delay
【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) =N[P(t) ,Q(t) ]x(t) +N[C(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
【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.
【关键词】 时变区间系统;
时滞;
指数稳定;
矩阵测度;
时滞微分不等式;
【Key words】 time varying interval systems; time delay; exponential stability; matrix measure; delay differential inequality;
【Key words】 time varying interval systems; time delay; exponential stability; matrix measure; delay differential inequality;
【基金】 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
- 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2001年02期
- 【分类号】TP11
- 【被引频次】6
- 【下载频次】62