New stability and stabilization conditions for systems with time-delay

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Xia, Yuanqing, Liu, G. P, Shi, Peng, Rees, D and Thomas, E. J. C (2007) New stability and stabilization conditions for systems with time-delay. International Journal of Systems Science, 38 (1). pp. 17-24. ISSN 0020-7721

Abstract

In this article, the problems of stability and stabilization for systems with both constant and time-varying delays have been considered. By the so-called lifting method, time-delay systems are transformed into delay-free systems such that simple necessary and sufficient conditions have been developed for the stability analysis of systems with constant delays. For systems with time-varying delays, they have been converted to a switched system so that the existing results can be applied to analyze the problems of stability and stabilization. Linear matrix inequality (LMI) approach has been employed to the state feedback control design. Numerical examples are given to show the effectiveness of the proposed technique.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/3449
DOI https://doi.org/10.1080/00207720601053675
Subjects Historical > FOR Classification > 0902 Automotive 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 ResPubID18808, time-delay, linear matrix inequality(LMI), uncertain systems, discrete-time systems
Citations in Scopus 81 - View on Scopus
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