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

Shi, Peng and Boukas, El-Kebir 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

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID19044, discrete-time systems, Markovian jump parameters, matrix inequalities, parameter uncertainties, time-delays
Subjects: Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Depositing User: VUIR
Date Deposited: 27 May 2011 01:37
Last Modified: 16 Dec 2014 03:45
URI: http://vuir.vu.edu.au/id/eprint/2492
DOI: 10.1081/SAP-120022871
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Citations in Scopus: 21 - View on Scopus

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