切换线性系统的稳定性分析和稳定化设计是近年来研究的热点.为此,对近期关于这一问题研究所得到的主要成果进行综述.首先给出任意切换以及带约束切换两种情况下系统稳定性分析的主要结论;然后给出切换线性系统稳定化中的主要方法;最后简要概述目前切换系统的实用稳定性和有限时间稳定性问题,并就这一领域今后的发展方向进行了展望.
The study of the stability analysis and the switching stabilization for switched linear systems is a hot topic in recent years.The lately main results about this problem are reviewed in this paper.Firstly,the primary conclusions of the stability analysis are given for switched linear systems under two cases such that the arbitrary switching and the restricted switching.Then the main mathods for switching stabilization are presented.Finally,the current results of the practical stability and the finite-time stability problems for switched systems are outlined,and the development of this research field is forecasted.