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This paper studies designing resilient asynchronous H∞ state feedback controller for Markov jump systems with transition probabilities partly unknown. By Finsler's Lemma, and with the help of three matrices with special structure, the problem of inter connection between the Lyapunov matrices and the system matrices is solved. In order to make the theory have more practical value, this paper considers...
This article is concerned with resilient asynchronous H∞ output feedback controller designed for a set of Markov jump linear systems (MJLSs). By Finsler's Lemma, and with the help of two sets of slack variables, the problem of inter connection between the Lyapunov matrices and the system matrices was solved. Resilient asynchronous controller is designed to ensure the controller has the character of...
This paper is concerned with the asynchronous dissipative control for discrete-time singular Markov jump systems with multiplicative noises. In a real set, noises always exist in the state or output measurement, which may cause some errors and decrease system performance. Without loss of generality, both state and output multiplicative noises are considered in this paper. The singular systems, which...
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