摘要
考虑了具有有界干扰NORMAL切换系统的稳定性分析,运用Lyapunov函数给出了干扰的界限.主要解决了切换系统在有界干扰下的稳定性分析,给出了当系统干扰满足一定的条件时,切换系统在任意的切换条件下轨迹渐近稳定.同时讨论了带干扰的线性切换系统的镇定问题.问题的讨论中对系统的要求少,因此更具一般性.
We focus on the stability analysis of switched normal systems with bounded disturbance, and using Lyapunov function, the boundness of disturbance is given. We mainly solve the stability analysis of switched normal systems with bounded disturbance, under some given properties, the switched system is asymptotic stable under arbitary switching. We also study the stabilizability of linear switched system with disturbance.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第1期203-209,共7页
Mathematics in Practice and Theory
基金
河南省教育厅自然科学基础研究项目(200510459002)