Title data
Brivadis, Lucas ; Chaillet, Antoine ; Mironchenko, Andrii ; Wirth, Fabian:
Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable functions.
In: IEEE Control Systems Letters.
Vol. 8
(2024)
.
- pp. 1667-1672.
ISSN 2475-1456
DOI: https://doi.org/10.1109/LCSYS.2024.3408103
Review: |
Related URLs
Project information
Project title: |
Project's official title Project's id Lyapunov theory meets boundary control systems MI 1886/2-2 Input-to-State Stability of Systems With Delays FK-20-2022 |
---|---|
Project financing: |
Deutsche Forschungsgemeinschaft Andere Franco-Bavarian University Cooperation Center (BayFrance) |
Abstract in another language
We consider time-delay systems with a finite number of delays in the state space $L^∞ × R^n$. In this framework, we show that forward completeness implies the bounded reachability sets property. This implication was recently shown by J.L. Mancilla-Aguilar and H. Haimovich to fail in the state space of continuous functions. As a consequence, we show that global asymptotic stability is always uniform in the state space $L^∞ × R^n$.
Further data
Item Type: | Article in a journal |
---|---|
Refereed: | Yes |
Keywords: | nonlinear control systems; time-delay systems; infinite-dimensional systems; forward completeness; input-to-state stability |
Subject classification: | Mathematics Subject Classification Code: 93B03 (93C43 93D20) |
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 Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Profile Fields Profile Fields > Advanced Fields |
Result of work at the UBT: | No |
DDC Subjects: | 500 Science > 510 Mathematics |
Date Deposited: | 06 Mar 2025 13:02 |
Last Modified: | 07 Mar 2025 07:06 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92640 |