BIBO stability of port-Hamiltonian systems

Felix L. Schwenninger; Alexander A. Wierzba

doi:10.48550/arXiv.2410.12697

BIBO stability of port-Hamiltonian systems

Felix L. Schwenninger, Alexander A. Wierzba

Research output: Working paper › Preprint › Academic

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Abstract

We study the question of when a distributed port-Hamiltonian system is bounded-input bounded-output (BIBO) stable. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability.

Original language	English
Publisher	ArXiv.org
Number of pages	19
DOIs	https://doi.org/10.48550/arXiv.2410.12697
Publication status	Published - 16 Oct 2024

Keywords

math.OC
math.AP
math.FA
93C20, 93D25, 93C05, 35L04, 37K45

Access to Document

10.48550/arXiv.2410.12697Licence: Other

PreprintFinal published version, 525 KBLicence: Other

1 Oral presentation

Towards BIBO stability of port-Hamiltonian systems
Wierzba, A. A. (Speaker)
18 Oct 2024
Activity: Talk or presentation › Oral presentation

1 PhD Thesis - Research UT, graduation UT

On BIBO stability of infinite-dimensional systems
Wierzba, A. A., 10 Jun 2025, Enschede: University of Twente. 178 p.
Research output: Thesis › PhD Thesis - Research UT, graduation UT

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Cite this

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AB - We study the question of when a distributed port-Hamiltonian system is bounded-input bounded-output (BIBO) stable. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability.

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KW - math.AP

KW - math.FA

KW - 93C20, 93D25, 93C05, 35L04, 37K45

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M3 - Preprint

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ER -

BIBO stability of port-Hamiltonian systems

Abstract

Keywords

Access to Document

Fingerprint

Activities

Towards BIBO stability of port-Hamiltonian systems

Research output

On BIBO stability of infinite-dimensional systems

Cite this