Delay-dependent Stability and Stabilization of Uncertain Discrete-time Markovian Jump Singular Systems with Time Delay
نویسندگان
چکیده
This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. With this condition, problems of robust stochastic stability and stabilization are solved, and delay-dependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method. 2000 Mathematics subject classification: primary 39A12; secondary 93C55.
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