BIBO stability of 1-D hyperbolic boundary control systems
Felix L. Schwenninger, Alexander A. Wierzba
TL;DR
This paper investigates the BIBO stability of 1-D hyperbolic boundary control systems, including distributed port-Hamiltonian systems, by deriving sufficient conditions based on their transfer function structure.
Contribution
It provides new sufficient conditions for BIBO stability of a class of hyperbolic boundary control systems, expanding understanding of their stability properties.
Findings
Derived several sufficient stability conditions
Included distributed port-Hamiltonian systems in the analysis
Enhanced criteria for BIBO stability in hyperbolic systems
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsControl and Stability of Dynamical Systems · Numerical methods for differential equations · Quantum chaos and dynamical systems