Extensions of Razumikhin's theorem and Lyapunov-Krasovskii functional constructions for time-varying systems with delay

被引：53

作者：

Mazenc, Frederic ^{[1
]}

Malisoff, Michael ^{[2
]}

机构：

[1] Univ Paris Sud, EPI DISCO Inria Saclay, Lab Signaux & Syst, CNRS,Cent Supelec, 3 Rue pilot Curie, F-91192 Gif Sur Yvette, France

[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

AUTOMATICA | 2017年 / 78卷

基金：

美国国家科学基金会;

关键词：

Delay; Robustness; Stability; Time-varying; REDUCTION MODEL APPROACH; NONLINEAR-SYSTEMS; STABILITY; METHODOLOGY; ROBUSTNESS; ISS;

D O I：

10.1016/j.automatica.2016.12.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove extensions of Razumikhin's theorem for time-varying continuous and discrete time nonlinear systems. Our results include a novel 'strictification' technique for converting a nonstrict Lyapunov function into a strict one. We also provide new constructions of Lyapunov-Krasovskii functionals that can be used to prove robustness to perturbations. Our examples include a key model from identification theory, and they show how our method can sometimes allow broader classes of delays than the results in the literature. (C) 2016 Elsevier Ltd. All rights reserved.

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页码：1 / 13

页数：13

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