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math.OC2024
BIBO stability of 1-D hyperbolic boundary control systems
Felix L. Schwenninger, Alexander A. Wierzba
We study the question of bounded-input bounded-output (BIBO) stability of a class of 1-D hyperbolic boundary control systems, which, in particular, contains distributed port-Hamilt…
math.OC2024
A dual notion to BIBO stability
Felix L. Schwenninger, Alexander A. Wierzba
In this paper we consider BIBO stability of infinite-dimensional linear state-space systems and the related notion of -to- input-output stability (abbreviated LILO). We s…
math.OC2024
On checking -admissibility for parabolic control systems
Philip Preußler, Felix L. Schwenninger
In this note we discuss the difficulty of verifying -admissibility for -- that even manifests in the presence of a self-adjoint semigroup generator on a Hil…