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20232026
most citedOn BIBO stability of infinite-dimensional linear state-space systems

3 citations · 3 across the 4 of their papers we have counts for

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math.OC2026

BIBO stability in infinite dimensions: extensions and limitations of finite-dimensional theory

Sahiba Arora, Alexander A. Wierzba

The study of bounded-input bounded-output (BIBO) stability of infinite-dimensional systems gives rise to difficulties that do not occur in the classical finite-dimensional setting.…

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.OC2023★ 3 cited

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

Felix L. Schwenninger, Alexander A. Wierzba, Hans Zwart

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 a…

math.OC2023

BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators

Anthony Hastir, René Hosfeld, Felix L. Schwenninger +1

This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We…