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Absolute stability of nonlinear systems with two additive time-varying delay components
Authors:Bassem Ben Hamed  Mohamed Chaabane  Walid Kacem
Affiliation:[1]Higher Institute of Applied Sciences and Technology of Gab`es, Department of Mathematics, Street Amor Ben El Khatab, 6029 Gab`es, Tunisia;National Engineering School of Sfax, Department of Electrical Engineering, Street Soukra km 3.5, B.P. 1173, 3038 Sfax, Tunisia; [2]National Engineering School of Sfax, Department of Electrical Engineering, Street Soukra km 3.5, B.P. 1173, 3038 Sfax, Tunisia
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.
Keywords:Time-varying delay system  additive delay  absolute stability  linear matrix inequalities (LMIs)  S-procedure  Lyapunov Krasovskii functional  stabilization  
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