For Time-Invariant Delay Systems, Global Asymptotic Stability Does Not Imply Uniform Global Attractivity

被引：0

作者：

Chaillet, Antoine ^{[1
]}

Wirth, Fabian ^{[2
]}

Mironchenko, Andrii ^{[3
]}

Brivadis, Lucas ^{[1
]}

机构：

[1] Univ Paris Saclay, CNRS, Lab Signaux & Syst, Cent Supelec, F-91190 Gif Sur Yvette, France

[2] Univ Passau, Fac Comp Sci & Math, D-94032 Passau, Germany

[3] Univ Klagenfurt, Dept Math, A-9020 Klagenfurt, Austria

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

关键词：

Transient analysis; Convergence; Delays; Asymptotic stability; Mathematical models; Lyapunov methods; Instruments; Delay systems; stability analysis; nonlinear systems;

D O I：

10.1109/LCSYS.2024.3396291

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Adapting a counter-example recently proposed by J. L. Mancilla-Aguilar and H. Haimovich, we show here that, for time-delay systems, global asymptotic stability does not ensure that solutions converge uniformly to zero over bounded sets of initial states. Hence, the convergence might be arbitrarily slow even if initial states are confined to a bounded set.

引用

页码：484 / 489

页数：6

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