at Google ScholarTitle data
Bachmann, Patrick ; Ahmed, Saeed ; Bajcinca, Naim:
Stochastic ISS of impulsive evolution equations with randomly distributed jump instants.
In:
Proceedings of 2024 European Control Conference (ECC). -
Piscataway, NJ
: IEEE
,
2024
. - pp. 3286-3291
ISBN 978-3-9071-4410-7
DOI: https://doi.org/10.23919/ecc64448.2024.10590835
Project information
| Project financing: |
Bundesministerium für Bildung und Forschung Andere BMBF (grant FKZ 01IS18063C) Rheinland-Pfälzische Technische Universität Kaiserlautern-Landau |
|---|
Abstract in another language
This paper studies stochastic input-to-state stability of impulsive evolution equations with randomly distributed jump instants. We model these random jump instants via a Poisson process. Our approach derives the stability conditions by employing candidate Lyapunov functions parameterized by nonlinear rates. We apply our results to the cooling mechanism of a metal string modeled by a partial differential equation with jumps.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | impulsive evolution equation; stochastic stability; ISS; Poisson process |
| 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: | 11 Mar 2025 11:29 |
| Last Modified: | 11 Mar 2025 11:32 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92724 |