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Output feedback stabilization for discrete singular systems with random abrupt changes. (English) Zbl 1202.93168
Summary: The problem of static output feedback control is investigated for discrete singular systems with Markovian jump. Two necessary and sufficient conditions for the discrete singular Markovian jump system to be regular, causal and stochastically stable are proposed in terms of linear matrix inequality approach. Two kinds of design methods of the desired mode-independent static output feedback controller are given. Explicit expressions for the desired controllers are also given. Numerical examples are proposed to show the validness of the developed results.

MSC:
93E15 Stochastic stability in control theory
93D15 Stabilization of systems by feedback
93C55 Discrete-time control/observation systems
60J75 Jump processes (MSC2010)
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