Delay-dependent stabilization of singularly perturbed jump linear systems. (English) Zbl 1070.93037
This paper considers the stability and stabilization problems of continuous-time singularly perturbed Markov jump linear system with time delay. LMI-based sufficient conditions for the system to be stochastically stable are given, and, using LMI approaches, two methods for designing state feedback stabilizing controllers are also derived. Numerical examples are worked out to illustrate the usefulness of the proposed results.
Reviewer: Vjatscheslav Vasiliev (Tomsk)
MSC:
93D15 | Stabilization of systems by feedback |
93E15 | Stochastic stability in control theory |
93C05 | Linear systems in control theory |
93C23 | Control/observation systems governed by functional-differential equations |
93C70 | Time-scale analysis and singular perturbations in control/observation systems |
60J75 | Jump processes (MSC2010) |
15A39 | Linear inequalities of matrices |
Keywords:
stabilization problem; stochastic systems with time delay; Markov jump parameters; LMI; singularly perturbed systemReferences:
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