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Lyapunov Conditions for Finite-time Stability of Stochastic Functional Systems
Jian Ge,Liping Xie,Shixiong Fang,Kanjian Zhang 제어·로봇·시스템학회 2024 International Journal of Control, Automation, and Vol.22 No.1
In this study, we consider the finite time stability (FTS) and finite time contractive stability (FTCS) of the stochastic functional systems. For the framework of Lyapunov-Ruzumikhin method, the sufficient conditions of FTS and FTCS are given first. Then the theory is applied to FTS and FTCS of linear time-varying stochastic functional systems. Finally, experiments on the numerical examples have demonstrated the superiority of the proposed method.