On Stochastic Stabilization of Discrete-Time Markovian Jump Systems with Delay in State

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Shi, Peng, Boukas, El-Kébir and Shi, Yan (2003) On Stochastic Stabilization of Discrete-Time Markovian Jump Systems with Delay in State. Stochastic Analysis and Applications, 21 (4). pp. 935-951. ISSN 0736-2994

Abstract

In this paper, we investigate the stochastic stabilization problem for a class of linear discrete time-delay systems with Markovian jump parameters. The jump parameters considered here is modeled by a discrete-time Markov chain. Our attention is focused on the design of linear state feedback memoryless controller such that stochastic stability of the resulting closed-loop system is guaranteed when the system under consideration is either with or without parameter uncertainties. Sufficient conditions are proposed to solve the above problems, which are in terms of a set of solutions of coupled matrix inequalities.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/2492
DOI	10.1081/SAP-120022871
Official URL	http://dx.doi.org/10.1081/SAP-120022871
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords	ResPubID19044, discrete-time systems, Markovian jump parameters, matrix inequalities, parameter uncertainties, time-delays
Citations in Scopus	29 - View on Scopus
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