BIBO stability of 1-D hyperbolic boundary control systems

Felix Leopold Schwenninger; Alexander A. Wierzba

doi:10.48550/arXiv.2410.12697

BIBO stability of 1-D hyperbolic boundary control systems

Felix Leopold Schwenninger
, Alexander A. Wierzba^*

^*Corresponding author for this work

Research output: Working paper › Preprint › Academic

66 Downloads (Pure)

Abstract

We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamiltonian systems. 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	22
DOIs	https://doi.org/10.48550/arXiv.2410.12697
Publication status	Published - 29 Sept 2025

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10.48550/arXiv.2410.12697

2410.12697v2Final published version, 457 KB

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

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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abstract = "We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamiltonian systems. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability.",

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AB - We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamiltonian systems. Exploiting the particular structure of the transfer function of these systems, we derive several sufficient conditions for BIBO stability.

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M3 - Preprint

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PB - ArXiv.org

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BIBO stability of 1-D hyperbolic boundary control systems

Abstract

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Activities

Towards BIBO stability of port-Hamiltonian systems

Research output

On BIBO stability of infinite-dimensional systems

Cite this