摘要
研究了一类具有脉冲干扰和可变时滞区间关联大系统的鲁棒指数稳定性.假设该系统的关联函数满足全局Lipschitz条件,基于矢量Lyapunov函数法和数学归纳法,给出确保该关联系统鲁棒指数稳定的充分条件.最后给出一个数值算例用以说明本文所得到结论的正确性和有效性.
The robust exponential stability for a class of interconnected system in specific parameter intervals with impulsive effect and time-varying delays was studied. On the assumption that the interconnected functions satisfied global Lipschitz condition, some sufficient conditions for the robust exponential stability of the interconnected system were derived by using vector Lyapunov function method and mathematical induction method. A numerical example with simulation results was given to show the correction and effectiveness of the obtained conditions.
出处
《动力学与控制学报》
2011年第4期303-308,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11172247
60974132)
教育部博士点基金资助项目(200806130003)~~
关键词
关联系统
鲁棒稳定
脉冲
变时滞
矢量Lyapunov函数
interconnected system, robust stability, function impulsive, time-varying delays, vector Lyapunov
