Absolute stability of nonlinear systems with two additive time-varying delay components

In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities (LMIs), which can be readily tested by using standard numerical software. We use this new cri...

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Veröffentlicht in:International journal of automation and computing 2011-11, Vol.8 (4), p.391-402
Hauptverfasser: Hamed, Bassem Ben, Chaabane, Mohamed, Kacem, Walid
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities (LMIs), which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.
ISSN:1476-8186
2153-182X
1751-8520
2153-1838
DOI:10.1007/s11633-011-0596-y