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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.
This paper mainly deals with the finite-time stability problem of the right-end nonsmooth autonomous delay system under the Filippov solution. Based on the Filippov’s differential inclusion and the nonsmooth Lyapunov-Krasovskii functional, this paper presents the definition and comparison principle of finite-time stability of autonomous non-smooth time-delay systems , And gives a stable Lyapunov theorem for finite time.