标题：Towards a converse Lyapunov stability theory of hybrid impulsive and switching systems
作者机构：[Gao, Rui ] Faculty of the School of Control Science and Engineering, Shandong University, Jinan, Shandong Province, China
会议名称：2014 IEEE International Conference on Automation Science and Engineering, CASE 2014
会议日期：18 August 2014 through 22 August 2014
来源：IEEE International Conference on Automation Science and Engineering
摘要：The converse Lyapunov stability problem is proposed for a special class of hybrid systems, hybrid impulsive and switching systems (HISS). The necessary condition is constructed,under which the HISS is proved to be uniformly asymptotically stable with respect to its equilibrium in the state space. The construction method for Lyapunov functions presented in this paper is different from the other literature. It helps to solve the Lyapunov function construction problem in the process of stability analysis in hybrid dynamical systems (HDS). © 2014 IEEE.