On Equivalence of Lyapunov-Razumikhin Conditions and ISS for a Class of Time-Delay Systems

被引：2
|
作者：
Efimov, D. [1 ,2 ]
Aleksandrov, A. [3 ,4 ]
机构：
[1] Univ Lille, CRIStAL, CNRS, Inria,UMR 9189, F-59000 Lille, France
[2] ITMO Univ, St Petersburg 197101, Russia
[3] St Petersburg State Univ, St Petersburg 199034, Russia
[4] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 08期
关键词：
Asymptotic stability; delay systems; Lyapunov methods; TO-STATE STABILITY; FINITE-TIME; INPUT; HOMOGENEITY; THEOREMS;
D O I：
10.1109/TAC.2024.3382609
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For a retarded nonlinear system with a Lipschitz nonlinearity on bounded sets outside the origin, this article proposes necessary conditions for application of the Lyapunov-Razumikhin method. The presented conditions are illustrated on the classes of linear and nonlinear homogeneous systems.
引用
收藏
页码：5666 / 5671
页数：6
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