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
DOI: 10.12677/PM.2015.53014, PDF,    国家自然科学基金支持
作者: 刘越超, 高彩霞：内蒙古大学数学科学学院，内蒙古 呼和浩特
关键词: 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
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。
Abstract: 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.
文章引用：刘越超, 高彩霞. 正脉冲切换系统的有限时间稳定性分析[J]. 理论数学, 2015, 5(3): 89-94. https://dx.doi.org/10.12677/PM.2015.53014

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