A novel approach to stability of interval delayed systems with nonlinear perturbations

Journal of Control Engineering and Applied Informatics

Jiyao . AN¹ 

[1] Hunan University

关键词: Interval time-varying delay;    Nonlinear perturbations;    Lyapunov-Krasovskii (LK) functional;    Linear matrix inequality (LMI);    Maximum allowable delay bound (MADB).;   

DOI  :  

学科分类：农业科学（综合）

来源: Societatea Romana de Automatica si Informatica Tehnica

【 摘 要 】

Thispaper focuses on the stability problem for a class of linear systems withinterval time-varying delays and nonlinear perturbations. By developing a delaydecomposition approach, the information of the delayed plant states can betaken into full consideration in a newLyapunov-Krasovskii (LK)functional, and a delay-fractional-dependent sufficient stability criterion isobtained in terms of linear matrix inequalities without involving any directapproximation in the time-derivative of the LKfunctional. The merits of the proposed results lie in their less conservatism,which are realized by choosing different Lyapunovmatrices in the decomposed integral intervals andutilizing some suitable integral inequalities to estimate some tighter upperbounds in some cross terms more exactly. This development leads to a lessconservative LMI criterion as seen through numerical examples.

【 授权许可】

CC BY