Robust Stability of Polytopic-Type Uncertain Singular Stochastic Systems with Time-Varying Delays
نویسنده
چکیده
The problems of robust stability for a class of the polytopic-type uncertain singular stochastic systems with time-varying delays are studied. By using a delay decomposition approach and terms of linear matrix inequalities (LMIs), robust stability criteria ensuring globally stochastically asymptotic stability of the polytopic-type uncertain singular stochastic systems with time-varying delays are established. New globally stochastically asymptotic stable criteria for the certain stochastic systems with discrete and distributed delays are obtained in terms of linear matrix inequalities and Leibniz–Newton formula as well. Finally, the validity of the obtained results is shown by a numerical example. Keywords-singular systems; stochastic systems; polytopic-type uncertainties; delayed decomposition approach; linear matrix inequalities
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