摘要
主要讨论右端非光滑的自治时滞系统在Filippov解意义下的有限时间稳定问题.基于Filippov微分包含和非光滑的Lyapunov-Krasovskii泛函,提出自治非光滑时滞系统有限时间稳定的定义和比较原理,并给出有限时间稳定的Lyapunov定理.
It is mainly discussed finite time stability of autonomous systems with nons- mooth right-hand sides (in the sense of Filippov solutions) with time-delay. The definition of finite time stability of retarded nonsmooth systems and comparison principle are presented. Based on Filippov differential inclusions and nonsmooth Lyapunov-Krasovkii functional, Lyapunov theorem for finite time stability of retarded nonsmooth systems is shown.
出处
《应用数学学报》
CSCD
北大核心
2013年第1期14-22,共9页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(60874006)
河南省教育厅科学技术研究重点(12A120008)
河南省杰出青年科学基金(084100510010)
河南省科技厅科技攻关(122102210061)资助项目