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Dzung, Nguyen Trung; Hien, Le Van
Circuits, systems, and signal processing, 06/2017, Letnik: 36, Številka: 6Journal Article
In this paper, the problem of mode-dependent state feedback controller design is studied for discrete-time Markov jump systems with generalized delay and deficient transition rates. The time delay under consideration is subject to mode-dependent and time-varying, and the transition probabilities of the jumping process are assumed to be partially accessible. By utilizing some novel summation inequalities, and by constructing an improved Lyapunov–Krasovskii functional which comprises a mode-dependent quadratic functional and some single, double and triple summation terms, delay-dependent stabilization conditions are derived in terms of tractable linear matrix inequalities. Two numerical examples are given to illustrate the effectiveness of the proposed conditions.
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