Lyapunov conditions for finite-time stability of time-varying time-delay systems

被引：172
作者：
Li, Xiaodi [1 ,2 ]
Yang, Xueyan [1 ]
Song, Shiji [3 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Shandong Normal Univ, Ctr Control & Engn Computat, Jinan 250014, Shandong, Peoples R China
[3] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
来源：
AUTOMATICA | 2019年 / 103卷
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; Finite-time contractive stability; Lyapunov-Razumikhin method; Time-varying systems; Delay; ASYMPTOTIC STABILITY; STABILIZATION; BOUNDEDNESS; INEQUALITY;
D O I：
10.1016/j.automatica.2019.01.031
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we develop the Lyapunov-Razumikhin method to finite-time stability (FTS) and finitetime contractive stability (FTCS) of time-delay systems. Several Lyapunov-based sufficient conditions for establishing these FTS properties are obtained. Then the theoretical results are applied to FTS and FTCS for a class of linear time-varying (LTV) time-delay system. The efficiency of the proposed criteria is illustrated by three numerical examples, where a stabilizing memoryless controller for FTCS of a second-order LTV system with time delay is proposed. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：135 / 140
页数：6
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