at Google ScholarTitle 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
| Review: |
Related URLs
Project information
| Project title: |
Project's official title Project's id Input-to-State Stability of Systems With Delays FK-20-2022 |
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| 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 |