线性切换系统的稳定性分析

Stability analysis of linear switched system

文章介绍了分析切换系统稳定性的统一李雅普诺夫函数法、多李雅普诺夫函数法,指出这些方法的各自特点。在此基础上提出一种新的切换系统稳定性分析方法,在各子系统是稳定的前提下,对于给定的切换序列,若切换至各子系统的时间大于子系统所对应的最小滞留时间时,则切换系统是稳定的,并举例说明该方法的应用。

In this paper, based on the analysis of the common Lyapunov function method and the multiple Lyapunov functions method which are used for the stability analysis of the linear switched system,a new method for the stability analysis is presented. The linear switched system is stable on the premise of all the stable subsystems when the time of each subsystem switched in is longer than its minmum dwell time. An example is given to demonstrate the application of the new method.