New results on stabilization of Markovian jump systems with time delay

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Fei, Zhongyang, Gao, Huijun and Shi, Peng (2009) New results on stabilization of Markovian jump systems with time delay. Automatica, 45 (10). pp. 2300-2306. ISSN 0005-1098

Abstract

This paper studies the problem of stochastic stabilization for a class of Markovian jump systems with time delay. A new delay-dependent stochastic stability criterion on the stochastic stability of the system is derived based on a novel Lyapunov–Krasovskii functional (LKF) approach. The equivalence and superiority to existing results are demonstrated. Then a state feedback controller, which guarantees the stochastic stability of the closed-loop system, is designed. Illustrative examples are provided to show the reduced conservatism and effectiveness of the proposed techniques.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/4285
DOI	10.1016/j.automatica.2009.06.020
Official URL	http://www.sciencedirect.com/science/article/pii/S...
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > SEO Classification > 970109 Expanding Knowledge in Engineering
Keywords	ResPubID17663, Markovian jump systems, stochastic stability, time delay, stabilization, linear matrix inequality (LMI)
Citations in Scopus	199 - View on Scopus
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