at Google ScholarTitle data
Mironchenko, Andrii ; Wirth, Fabian ; Chaillet, Antoine ; Brivadis, Lucas:
ISS Lyapunov-Krasovskii theorem with point-wise dissipation : a V-stability approach.
In:
2024 IEEE 63rd Conference on Decision and Control (CDC) : Proceedings. -
Piscataway, NJ, USA
: IEEE
,
2024
. - pp. 7896-7901
ISBN 979-8-3503-1633-9
DOI: https://doi.org/10.1109/CDC56724.2024.10886158
Project information
| Project title: |
Project's official title Project's id Lyapunov theory meets boundary control systems MI 1886/2-2 |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft Andere BayFrance, project FK-20-2022 |
Abstract in another language
We show that the existence of a Lyapunov- Krasovskii functional (LKF) with a point-wise dissipation suffices for ISS of time-delay systems, provided that uniform global stability can also be ensured using the same LKF. To prove this result, we develop a stability theory, in which the behavior of solutions is not assessed through the classical norm but rather through a specific LKF, which may provide significantly tighter estimates.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | nonlinear control systems; input-to-state stability; time-delay systems; infinite-dimensional systems |
| 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 09:18 |
| Last Modified: | 06 Mar 2025 09:18 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92638 |