BIBO stability of 1-D hyperbolic boundary control systems

ESAIM Control Optimisation and Calculus of Variations 2026 Open access

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Authors: Felix L. Schwenninger, Alexander A. Wierzba
DOI: 10.1051/cocv/2026062
Cited by: 0

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 that rely on tests for the systems defining matrix parameters.

Fields of Study & Subjects

Control and Stability of Dynamical Systems Numerical methods for differential equations Quantum chaos and dynamical systems

Publication details

Journal / source
ESAIM Control Optimisation and Calculus of Variations
Publication date
3 September 2026
Language
EN