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This paper is concerned with the robust H∞ fault-tolerant control problem for a class of stochastic markovian jump systems (SMJSs) with time-varying delay. A novel criterion of robust stabilization, which is dependent on the size of the time delay and therefore less conservative, for such systems is established in terms of linear matrix inequalities (LMIs) by using Lyapunov stability theory and free-weighting...
This paper is concerned with the exponential mean-square stabilization problem via dynamic output-feedback controller for Markovian jump systems with nonlinear perturbations and time delays. Sufficient delay-range-dependent stabilization conditions for the existence of robust output-feedback controller are proposed in terms of linear matrix inequalities (LMIs) with equality constraints. Since the...
This paper investigates the robust stabilization and H∞ control for a class of discrete-time Markovian jump linear systems with norm-bounded uncertainties and time-delays both in the system state and in the mode signal. The delay in the system state is time-varying. The delay in the mode signal results in a constant mismatch between the modes of the controller and the corresponding subsystems. Then...
The purpose of this paper is a parametric description (parametrization) of static output feedback stabililizing controllers for linear continuous-time systems with Markovian switching. The results are then applied to simultaneous stabilization, robust stabilization and passification problems. Based on these results some algorithms for computing of stabilizing gains are proposed. The approach is based...
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