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

Activity: Talk or presentationOral presentation


In this contribution we consider bounded-input-bounded-output (BIBO) stability
of systems described by infinite-dimensional linear state-space representations. We use tools from operator theory (semigroups, system nodes) to fill 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 and discuss to which extent this property is preserved under additive and multiplicative perturbations of the associated semigroup generator.

This contribution is based upon joint work with Felix L. Schwenninger and Hans Zwart. The preprint is available at https://arxiv.org/abs/2303.18148.
Period1 Aug 2023
Event title34th International Workshop on Operator Theory and its Applications, IWOTA 2023
Event typeConference
Conference number34
LocationHelsinki, FinlandShow on map
Degree of RecognitionInternational