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Absolute Stability of Nonlinear Systems with Two Additive Time-varying Delay Components |
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| 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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