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

Anthony Hastir; René Hosfeld; Felix Leopold Schwenninger; Alexander A. Wierzba

doi:10.48550/arXiv.2302.09175

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 paper › Preprint › Academic

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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 language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2302.09175
Publication status	Published - 17 Feb 2023

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10.48550/arXiv.2302.09175

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BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators
Hastir, A., Hosfeld, R., Schwenninger, F. L. & Wierzba, A. A., 24 Jul 2024, Systems Theory and PDEs: Open Problems, Recent Results, and New Directions. Schwenninger, F. L. & Waurick, M. (eds.). Cham: Birkhäuser, p. 189-217 29 p. (Trends in Mathematics).
Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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title = "BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators",

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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AU - Schwenninger, Felix Leopold

AU - Wierzba, Alexander A.

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N2 - 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.

AB - 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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PB - ArXiv.org

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

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BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators

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