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

Advances in Difference Equations

Nadhem Echi¹  Amel Benabdallah² 

[1] Department of Mathematics, Faculty of Sciences of Gafsa, Gafsa University, Gafsa, Tunisia;Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, Sfax, Tunisia

关键词: input delays;    state delays;    delay-dependent stability;    Lyapunov Krasovskii functional;    linear matrix inequalities (LMIs);    93Dxx;    34Dxx;   

DOI  :  10.1186/s13662-017-1335-7

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY