Скачать или смотреть S. Arora. Integral ISS for linear infinite-dimensional systems

Talk at the Online Seminar on Input-to-State Stability and its Applications
https://researchseminars.org/seminar/...

Speaker:
Sahiba Arora (Leipniz University Hannover, Germany)

Title:
Integral ISS for linear infinite-dimensional systems

Abstract:
This talk explores integral-to-integral input-to-state stability (ISS) for infinite-dimensional linear systems in $L^p$-spaces. We investigate the interplay between integral ISS, admissibility, and maximal regularity of Cauchy problems. Additionally, we demonstrate the application of Lyapunov functions in analysing ISS in integral norms, highlighting their utility in assessing system stability.

Biography:
Sahiba Arora is a postdoctoral researcher at Leibniz University Hannover. She earned her PhD at TU Dresden under Ralph Chill's supervision. Previously, she held a postdoctoral position at the
University of Twente, working with Felix Schwenninger and supported by the DFG's Walter Benjamin program. Her research interests include operator semigroups, ordered Banach spaces, infinite-dimensional systems theory, and operator theory.

References:
S. Arora and A. Mironchenko. “Input-to-state stability in integral norms for linear infinite-dimensional systems”. Preprint: https://arxiv.org/abs/2501.07680.

Slides:
http://mironchenko.com/__My_php_sourc...

Date:
Wednesday, 7th May 2025