English

BIBO stability of 1-D hyperbolic boundary control systems

Optimization and Control 2025-09-30 v2 Analysis of PDEs Functional Analysis

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.

Keywords

Cite

@article{arxiv.2410.12697,
  title  = {BIBO stability of 1-D hyperbolic boundary control systems},
  author = {Felix L. Schwenninger and Alexander A. Wierzba},
  journal= {arXiv preprint arXiv:2410.12697},
  year   = {2025}
}

Comments

22 pages

R2 v1 2026-06-28T19:24:26.602Z