On BIBO stability of infinite-dimensional linear state space systems

Research output: Contribution to conferencePosterAcademic

Abstract

In this contribution we consider bounded-input-bounded-output (BIBO) stability of systems described by infinite-dimensional linear state-space representations. In line with classical approaches to infinite-dimensional systems, we use tools from operator theory (semigroups, system nodes) to fill the so far unattended gap of a formal definition and characterization of BIBO stability in this general case.
Furthermore, we provide several sufficient conditions guaranteeing BIBO stability and discuss to which extent this property is preserved under additive and multiplicative perturbations of the associated semigroup generator.
This contribution is based upon joint work with Felix L. Schwenninger and Hans Zwart. The preprint is available at https://arxiv.org/abs/2303.18148.
Original languageEnglish
Publication statusPublished - 27 Sept 2023
Event4th Workshop on Stability and Control of Infinite-Dimensional Systems, SCINDIS 2023 - Wuppertal, Germany
Duration: 27 Oct 202229 Oct 2022
Conference number: 4

Workshop

Workshop4th Workshop on Stability and Control of Infinite-Dimensional Systems, SCINDIS 2023
Abbreviated titleSCINDIS 2023
Country/TerritoryGermany
CityWuppertal
Period27/10/2229/10/22

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