Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays. (English) Zbl 1253.93108
Nonlinear Dyn. 69, No. 3, 1023-1039 (2012); erratum ibid. 70, No. 1, 893-906 (2012).
Summary: This paper studies the problem of the robustly exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays. The contribution of this paper is two-fold. Firstly, by constructing a modified Lyapunov functional and using free-weighting matrices technique, some delay-dependent robustly exponential stability criteria of such systems are obtained in terms of Linear Matrix Inequalities (LMIs), which are less conservative than some existing ones. Secondly, a state feedback controller is designed, which can guarantee the robustly exponential stability of the uncertain closed-loop systems. Some illustrative numerical examples are given to demonstrate the reduced conservatism and applicability of the obtained results.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93E12 | Identification in stochastic control theory |
| 93D09 | Robust stability |
| 60J75 | Jump processes (MSC2010) |
Keywords:
uncertain Markovian jump systems; exponential stability; stabilization; linear matrix inequalities (LMIs); state feedback controllerReferences:
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