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 proceedingChapterAcademicpeer-review

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 the feasibility of funnel control for coupled ordinary differential equation–partial differential equation (ODE–PDE) systems, as shown by means of an example from chemical engineering.
Original languageEnglish
Title of host publicationSystems Theory and PDEs
Subtitle of host publicationOpen Problems, Recent Results, and New Directions
EditorsFelix L. Schwenninger, Marcus Waurick
Place of PublicationCham
PublisherBirkhäuser
Pages189-217
Number of pages29
ISBN (Electronic)978-3-031-64991-2
ISBN (Print)978-3-031-64990-5, 978-3-031-64993-6
DOIs
Publication statusPublished - 24 Jul 2024

Publication series

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

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