Stochastic ISS of impulsive evolution equations with randomly distributed jump instants

Titelangaben

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 . - S. 3286-3291
ISBN 978-3-9071-4410-7
DOI: https://doi.org/10.23919/ecc64448.2024.10590835

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Abstract

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.