On estimation of rates of convergence in Lyapunov-Razumikhin approach

被引：27

作者：

Efimov, Denis ^{[1
,2
]}

Aleksandrov, Alexander ^{[2
]}

机构：

[1] Univ Lille, INRIA, UMR 9189, CNRS,CRIStAL, F-59000 Lille, France

[2] ITMO Univ, 49 Av Kronverkskiy, St Petersburg 197101, Russia

来源：

AUTOMATICA | 2020年 / 116卷

基金：

俄罗斯基础研究基金会;

关键词：

FINITE-TIME STABILITY; ASYMPTOTIC STABILITY; SYSTEMS; STABILIZATION; THEOREMS; DESIGN;

D O I：

10.1016/j.automatica.2020.108928

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Considering a retarded nonlinear system, this note proposes several modifications of the Lyapunov-Razumikhin approach guaranteeing the existence of an upper estimate on convergence rate of the system solutions. The cases of exponential, finite-time and fixed-time (with respect to a ball) convergences are studied. The proposed approach is illustrated by simulation of academic examples. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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