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Stochastic ISS of impulsive evolution equations with randomly distributed jump instants

Title 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

Official URL: Volltext

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