BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators

Anthony Hastir*, René Hosfeld, Felix Leopold Schwenninger, Alexander A. Wierzba

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee feasibility of funnel control for coupled ODE-PDE systems, as shown by means of an example from chemical engineering.
Original languageEnglish
Title of host publicationSystems Theory and PDEs - Open Problems, Recent Results, and New Directions
PublisherBirkhäuser
DOIs
Publication statusSubmitted - 2023
EventWorkshop on Systems Theory and PDEs 2022 - TU Bergakademie Freiberg, Freiberg, Germany
Duration: 18 Jul 202222 Jul 2022

Publication series

NameTrends in Mathematics
PublisherBirkhäuser
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Workshop

WorkshopWorkshop on Systems Theory and PDEs 2022
Abbreviated titleWOSTAP
Country/TerritoryGermany
CityFreiberg
Period18/07/2222/07/22

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