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

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Chen, Bing, Li, Hongyi, Shi, Peng, 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

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/4221
DOI https://doi.org/10.1016/j.ins.2009.04.006
Official URL http://www.sciencedirect.com/science/article/pii/S...
Subjects Historical > SEO Classification > 970109 Expanding Knowledge in Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID17659, Markovian parameters, uncertain systems, input delay, robust stochastic stability, LMIs
Citations in Scopus 45 - View on Scopus
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