On BIBO stability of infinite-dimensional linear state-space systems

Autor: Schwenninger, Felix L., Wierzba, Alexander A., Zwart, Hans
Rok vydání: 2023
Předmět:
Zdroj: SIAM J. Control Optim. 62 (2024) 22-41
Druh dokumentu: Working Paper
DOI: 10.1137/23M1563098
Popis: In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermore, we provide several sufficient conditions guaranteeing BIBO stability of a particular system and discuss to which extent this property is preserved under additive and multiplicative perturbations of the system.
Comment: 21 pages, streamlined presentation, minor changes
Databáze: arXiv