时滞切换系统的稳定性  

Stability of Switched Delay Systems

作　　者：冯伟贞[1] 李少娥 

机构地区：[1]华南师范大学数学科学学院,广州510631

出　　处：《应用数学学报》2015年第4期673-698,共26页Acta Mathematicae Applicatae Sinica

基　　金：广东省自然科学基金面上项目(S2012010010034)资助

摘　　要：本文考祭了一般形式的泛函微分系统{(t)=fik-1(t,xt),t≥t0,t∈[tk-1,tk),k∈N+,xt0=.的时滞切换问题.利用Razumikhin技巧和Lyapunov泛函相结合的处理技术,并结合dwell time及切换次数限制的相关结论,给出了时滞切换系统指数稳定的充分条件.最后,还给出了具体例子.This paper is devoted to the study of the time-delay switching problems of the general functional differential systems. We provide sufficient conditions of exponential sta- bility of switched delay systems, by using the Razumikhin technique, Lyapunov functionals and the conclusions about dwell time and switching times. Lastly, we provide an illustrative example.

关 键 词：时滞切换系统 Razumikhin DWELL TIME 

分 类 号：O175[理学—数学]