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

Authors:
Bassem Ben Hamed;Mohamed Chaabane;Walid Kacem
Affiliations:
Department of Mathematics, Higher Institute of Applied Sciences and Technology of Gabès, Gabès, Tunisia 6029;Department of Electrical Engineering, National Engineering School of Sfax, Sfax, Tunisia 3038;Department of Electrical Engineering, National Engineering School of Sfax, Sfax, Tunisia 3038
Venue:
International Journal of Automation and Computing
Year:
2011

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Abstract

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.