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Optimal Timing Control of Discrete-Time Linear Switched Stochastic Systems
Xiaomei Liu,Kanjian Zhang,Shumin Fei,Haikun Wei,Shengtao Li 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.4
Optimal switch-time control is the study that investigates how best to switch between different modes. In this paper, we investigate the optimal switch-time control problem for discrete-time linear switched stochastic systems. In particular, under the assumption that the sequence of active subsystems is pre-specified, we focus on the problem where the objective is to minimize a cost functional defined on the states and the switching times are the only control variables. For systems with one switching time, using calculus of variations, we firstly derive the difference formulae of the cost functional with respect to the switching time, which can be directly used to find the optimal switching instant. Then, a method is presented to deal with the problem with multiple switching times case. Finally, the viability of the proposed method is illustrated through two numerical examples.
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.