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arXiv · 2303.18148

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

Felix L. Schwenninger·Alexander A. Wierzba·Hans Zwart
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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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Felix L. Schwenninger, Alexander A. Wierzba, Hans Zwart. 2023-03-31. On BIBO stability of infinite-dimensional linear state-space systems. https://doi.org/10.1137/23m1563098

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