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: Working paperPreprintAcademic

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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
PublisherArXiv.org
DOIs
Publication statusPublished - 17 Feb 2023

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