Abstract
In this paper we consider bounded-input-bounded-output (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.
| Original language | English |
|---|---|
| Pages (from-to) | 22-41 |
| Number of pages | 20 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2024 |
Bibliographical note
Publisher Copyright:© 2024 Society for Industrial and Applied Mathematics.
Keywords
- BIBO stability
- infinite-dimensional system
- input-output stability
- transfer function
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