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Boukas, E. K.; Liu, Z. K.

Delay-dependent stabilization of singularly perturbed jump linear systems. (English) Zbl 1070.93037

Int. J. Control 77, No. 3, 310-319 (2004).
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)

Cited in 15 Documents

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 system
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References:

[1] DOI: 10.1016/0005-1098(95)00011-K · Zbl 0837.93076 · doi:10.1016/0005-1098(95)00011-K
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[3] DOI: 10.1049/ip-cta:20020442 · doi:10.1049/ip-cta:20020442
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