Wirtinger-based Exponential Stability for Time-Delay Systems

被引：5

作者：

Barreau, Matthieu ^{[1
]}

Seuret, Alexandre ^{[1
]}

Gouaisbaut, Frederic ^{[1
]}

机构：

[1] Univ Toulouse, CNRS, UPS, LAAS CNRS, Toulouse, France

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

Time-delay systems; Exponential stability; Lyapunov methods; Wirtinger inequality; Controller and observer synthesis; STABILIZATION;

D O I：

10.1016/j.ifacol.2017.08.1890

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided. Variations of this theorem for synthesis of a controller or for an observer-based control is derived. Some numerical comparisons are proposed with existing theorems of the literature and comparable results are obtained but with an extension to stabilization. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：11984 / 11989

页数：6

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