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Delay-dependent stability analysis and controller synthesis for Markovian jump systems with state and input delays

Chen, Bing and Li, Hongyi and Shi, Peng and Lin, Chong and Zhou, Qi (2009) Delay-dependent stability analysis and controller synthesis for Markovian jump systems with state and input delays. Information Sciences, 179 (16). pp. 2851-2860. ISSN 0020-0255

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Abstract

This paper focuses on the problem of delay-dependent robust stochastic stability analysis and controller synthesis for Markovian jump systems with state and input delays. It is assumed that the delays are constant and unknown, but their upper bounds are known. By constructing a new Lyapunov–Krasovskii functional and introducing some appropriate slack matrices, new delay-dependent stochastic stability and stabilization conditions are proposed by means of linear matrix inequalities (LMIs). An important feature of the results proposed here is that all the robust stability and stabilization conditions are dependent on the upper bound of the delays. Memoryless state feedback controllers are designed such that the closed-loop system is robustly stochastically stable. Some numerical examples are provided to illustrate the effectiveness of the proposed method.

Item Type: Article
Uncontrolled Keywords: ResPubID17659, Markovian parameters, uncertain systems, input delay, robust stochastic stability, LMIs
Subjects: SEO Classification > 970109 Expanding Knowledge in Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 14 Jun 2011 00:58
Last Modified: 27 Apr 2012 01:28
URI: http://vuir.vu.edu.au/id/eprint/4221
DOI: 10.1016/j.ins.2009.04.006
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Citations in Scopus: 30 - View on Scopus

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