一类带有混合时变时滞的非线性切换系统的镇定  

Stabilization for a class of switched nonlinear systems with mixed time-varying delays

作　　者：李天瑞[1] 董亚丽[1] 张燕[1] 

机构地区：[1]天津工业大学理学院,天津300387

出　　处：《天津工业大学学报》2014年第4期85-88,共4页Journal of Tiangong University

基　　金：天津市自然科学基金资助项目(11JCYBJC06800)

摘　　要：研究了一类带有混合时变时滞的非线性切换系统的指数镇定问题.通过构造新的Lyapunov-Krasovskii泛函,并利用平均驻留时间的方法,建立了带有混合时变时滞的非线性切换系统指数镇定的充分条件,同时通过矩阵的一些特殊变形方法,最终设计出该系统的控制器.并给出了一个数值例,用以说明所获结果的有效性.The problem of exponential stabilization for a class of switched nonlinear systems with mixed time-varying delay is investigated. By constructing a novel Lyapunov-Krasovskii functional, based on the average dwell time approach, sufficient conditions for exponential stabilization are established for a class of switched nonlinear systems with mixed time-varying delay. At the same time, through some special deformation of the matrix, the controllers are designed. Finally, a numerical example illustrates the effectiveness of the theoretical results.

关 键 词：非线性切换系统 混合时变时滞 LYAPUNOV-KRASOVSKII泛函 平均驻留时间 

分 类 号：O175.13[理学—数学]