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arXiv · 2302.09175

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

Anthony Hastir·René Hosfeld·Felix L. Schwenninger·Alexander A. Wierzba
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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.

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Anthony Hastir, René Hosfeld, Felix L. Schwenninger, Alexander A. Wierzba. 2023-02-17. BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators. https://arxiv.org/abs/2302.09175

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