Shiyuan Fang, Hanzhi Li, Dacheng Pei, Meixi Wu, Yichong Sun, B. Cai
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引用次数: 1
Abstract
This paper concerns the problem of stochastic stability and stabilization for a class of discrete-time hidden semi-Markov jump systems (HS-MJSs) with time-varying emission probability. By virtue of the hidden semi-Markov model, such stochastic switching system has shown superior capacity of describing the asynchronous phenomenon between the practical system mode and the observed one. Moreover, the proposed emission probability is time-varying and satisfies piecewise homogeneous property in this paper. Based on the presented Lyapunov function, an observed-mode-dependent controller is constructed to stabilize the closed-loop HS-MJSs. Finally, the effectiveness of the proposed control scheme has been verified by a numerical example.
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