摘要
主要讨论不连续的时滞自治系统,在Filippov解意义下的一致最终有界性问题.基于Lya-punov-Krasovskii泛函给出了全局强一致最终有界的Lyapunov定理,并将其应用到一类带有不连续摩擦项的时滞力学系统.
Uniformly ultimate boundedness of discontinuous systems with time-delays in the sense of Filippov solutionswere mainly discussed. Based on Lyapunov-Krasovskii functional, Lyapunov theorem for globally strongly uniformly ultimate boundedness of retarded discontinuous systems was shown. Furthermore, the result is applied to a class of mechanical systems with retarded discontinuous friction item.
出处
《应用数学和力学》
CSCD
北大核心
2011年第9期1110-1117,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(60874006)
关键词
Filippov解
一致最终有界
不连续系统
时滞系统
Filippov solutions
uniformly ultimate boundedness
discontinuous systems
ratarded systems