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Absolute Stability of Nonlinear Systems with Two Additive Time-varying Delay Components
Authors:Bassem Ben Hamed Mohamed Chaabane Walid Kacem Higher Institute of Applied Sciences  Technology of Gab`es
Affiliation:Bassem Ben Hamed 1 Mohamed Chaabane 2 Walid Kacem 2 1 Higher Institute of Applied Sciences and Technology of Gab`es,Department of Mathematics,Street Amor Ben El Khatab,6029 Gab`es,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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