一类周期线性时变切换系统的稳定性  

Stability Analysis of a class of Periodically Switched Linear Time-varying Systems

作　　者：丁志帅[1] 杨宗立[2] 魏菊梅[1] 

机构地区：[1]郑州大学数学系,河南郑州450001 [2]郑州大学离退休职工干部处,河南郑州450001

出　　处：《数学的实践与认识》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)

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.

关 键 词：指数稳定 周期线性切换系统 时变系统 FLOQUET定理 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]