切换正系统稳定性的新判据(英文)

New stability condition for positive switched linear systems

本文主要考虑了切换正系统在任意切换信号下的稳定性问题.主要贡献在于以下两点:1、建立了切换正系统稳定性的新的判定准则.该准则可以视为切换正系统领域已有结果的补充.2、本文的方法独特,为解决切换正系统领域的其它问题将有很重要的启示作用.数值例子验证了所得理论结果的正确性和有效性.

This paper addresses the asymptotic stability problem of positive switched linear systems under arbitrary switching signals. The main contribution of this paper lies in the following two aspects. First, a stability condition is derived for positive switched linear systems, which can be considered as a complement to the well known result in this field. Second, the method used in this paper is new, and it is helpful for studying the stability problems of various delayed systems. A numerical example illustrates the obtained result