摘要
讨论一类包含一组线性时变子系统和一个周期切换信号的切换系统的稳定性.在系统满足一定条件的情况下,利用Floquet定理,给出了周期线性时变切换系统指数稳定的充分必要条件.
This paper deals with the stability of a class of periodically swithed linear timevarying systems that consists of a set of linear time-varying subsystems and a periodic switching signal. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability if the system satifies certain conditions.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第18期186-189,共4页
Mathematics in Practice and Theory
基金
国家自然科学基金(60874006)
数学天元基金(10826078)
关键词
指数稳定
周期线性切换系统
时变系统
FLOQUET定理
exponential stability
periodically switched linear systems
time-varying systems Floquet theory
