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For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity

Title data

Chaillet, Antoine ; Wirth, Fabian ; Mironchenko, Andrii ; Brivadis, Lucas:
For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity.
In: IEEE Control Systems Letters. Vol. 8 (2024) . - pp. 484-489.
ISSN 2475-1456
DOI: https://doi.org/10.1109/LCSYS.2024.3396291

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Project information

Project title:
Project's official title
Project's id
Input-to-State Stability of Systems With Delays
FK-20-2022

Project financing: Andere
Franco-Bavarian University Cooperation Center (BayFrance)

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: delay systems; stability analysis; nonlinear systems
Subject classification: Mathematics Subject Classification Code: 34K20
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 06 Mar 2025 09:44
Last Modified: 06 Mar 2025 09:44
URI: https://eref.uni-bayreuth.de/id/eprint/92643