On BIBO stability of infinite-dimensional linear state-space systems
arXiv (Cornell University)（2023）
Abstract
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.
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Key words
bibo stability,infinite-dimensional,state-space
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