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

Anthony Hastir; René Hosfeld; Felix Schwenninger; Alexander Wierzba

doi:10.1007/978-3-031-64991-2_8

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

Anthony Hastir, René Hosfeld, Felix Schwenninger, Alexander Wierzba

Namur Institute for Complex Systems

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Chapitre (revu par des pairs) › Revue par des pairs

Résumé

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.

langue originale	Anglais
titre	Systems Theory and PDEs
Sous-titre	Open Problems, Recent Results, and New Directions
rédacteurs en chef	Felix Schwenninger, Marcus Waurick
Editeur	Birkhäuser Science
Pages	189-217
Nombre de pages	29
ISBN (Electronique)	978-3-031-64991-2
ISBN (imprimé)	978-3-031-64993-6
Les DOIs	https://doi.org/10.1007/978-3-031-64991-2_8
Etat de la publication	Publié - 24 juin 2024

Série de publications

Nom	Trends in Mathematics
Volume	Part F3446
ISSN (imprimé)	2297-0215
ISSN (Electronique)	2297-024X

Financement

This research was partially conducted with the financial support of F.R.S-FNRS, Belgium. A. H. is a FNRS Research Fellow under the grant CR 40010909. He is now supported by the German Research Foundation (DFG) under the grant HA 10262/2-1. The second and third authors are supported by the German Research Foundation (DFG) via the joint grant JA 735/18-1/SCHW 2022/2-1.

Bailleurs de fonds	Numéro du bailleur de fonds
Deutsche Forschungsgemeinschaft	HA 10262/2-1, JA 735/18-1/SCHW 2022/2-1
Fonds de la Recherche Scientifique F.R.S.-FNRS	CR 40010909

Accès au document

10.1007/978-3-031-64991-2_8

https://arxiv.org/abs/2302.09175

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Hastir, A., Hosfeld, R., Schwenninger, F., & Wierzba, A. (2024). BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators. Dans F. Schwenninger, & M. Waurick (eds.), Systems Theory and PDEs : Open Problems, Recent Results, and New Directions (p. 189-217). (Trends in Mathematics; Vol Part F3446). Birkhäuser Science. https://doi.org/10.1007/978-3-031-64991-2_8

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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 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.",

keywords = "Analytic semigroups, BIBO stability, Funnel control, Nonlinear infinite-dimensional systems, Unbounded input and output operators",

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Hastir, A, Hosfeld, R, Schwenninger, F & Wierzba, A 2024, BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators. Dans F Schwenninger & M Waurick (eds), Systems Theory and PDEs : Open Problems, Recent Results, and New Directions. Trends in Mathematics, VOL. Part F3446, Birkhäuser Science, p. 189-217. https://doi.org/10.1007/978-3-031-64991-2_8

BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators. / Hastir, Anthony; Hosfeld, René; Schwenninger, Felix et al.
Systems Theory and PDEs : Open Problems, Recent Results, and New Directions. Ed. / Felix Schwenninger; Marcus Waurick. Birkhäuser Science, 2024. p. 189-217 (Trends in Mathematics; Vol Part F3446).

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Chapitre (revu par des pairs) › Revue par des pairs

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AU - Hastir, Anthony

AU - Hosfeld, René

AU - Schwenninger, Felix

AU - Wierzba, Alexander

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

PY - 2024/6/24

Y1 - 2024/6/24

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 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.

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 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.

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Hastir A, Hosfeld R, Schwenninger F, Wierzba A. BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators. Dans Schwenninger F, Waurick M, rédacteurs en chef, Systems Theory and PDEs : Open Problems, Recent Results, and New Directions. Birkhäuser Science. 2024. p. 189-217. (Trends in Mathematics). doi: 10.1007/978-3-031-64991-2_8

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

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