Delay-dependent stabilization of a class of time-delay nonlinear systems: LMI approach

被引：0
|
作者：
Nadhem Echi
Amel Benabdallah
机构：
[1] Gafsa University,Department of Mathematics, Faculty of Sciences of Gafsa
[2] Sfax University,Department of Mathematics, Faculty of Sciences of Sfax
来源：
Advances in Difference Equations | / 2017卷
关键词：
input delays; state delays; delay-dependent stability; Lyapunov Krasovskii functional; linear matrix inequalities (LMIs); 93Dxx; 34Dxx;
D O I：
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学科分类号：
摘要：
This paper deals with the state and output feedback stabilization problems for a family of nonlinear time-delay systems satisfying some relaxed triangular-type condition. A new delay-dependent stabilization condition using a controller is formulated in terms of linear matrix inequalities (LMIs). Based on the Lyapunov-Krasovskii functionals, global asymptotical stability of the closed-loop systems is achieved. Finally, simulation results are shown to illustrate the feasibility of the proposed strategy.
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