标题:
正脉冲切换系统的有限时间稳定性分析Finite-Time Stability of Positive Implusive Switched Systems
作者:
刘越超, 高彩霞
关键字:
Lyapunov稳定性, 有限时间稳定(FTS), 正系统, 正脉冲切换系统Lyapunov Stability, Finite-Time Stability, Positive Systems, Positive Impulsive Switched Systems
期刊名称:
《Pure Mathematics》, Vol.5 No.3, 2015-05-05
摘要:
本文解决了正脉冲切换系统的有限时间稳定性。首先把有限时间稳定的概念推广到正脉冲切换系统，从解的存在性入手，用求解微分方程组的方法，系统的解若满足一些条件，即可证明系统的稳定性。最后给出正脉冲切换系统稳定的充分条件。
This paper addresses the finite-time stability of positive impulsive switched systems. First, the concept of finite-time stability is extended to positive impulsive switched systems, starting from the existence of solutions and solving differential equations. If the solution of the systems satisfies some conditions, then we can prove the stability of the system. Finally, the sufficient conditions of positive impulsive switched systems are given.