104 citations · 288 across the 40 of their papers we have counts for
13 papers · 1 filter
ISS and integral ISS coincide for linear systems with bounded inputs
Sahiba Arora, Philip Preußler, Felix Schwenninger
We show that input-to-state stability (ISS) and integral input-to-state stability (integral ISS) with respect to the space of essentially bounded functions are equivalent propertie…
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…
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…
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…
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…
Coercive quadratic converse ISS Lyapunov theorems for linear analytic systems
Andrii Mironchenko, Felix Schwenninger
We derive converse Lyapunov theorems for input-to-state stability (ISS) of linear infinite-dimensional analytic systems. While we show that ISS in general does not imply the existe…
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…
Remarks on input-to-state stability of collocated systems with saturated feedback
Birgit Jacob, Felix L. Schwenninger, Lukas A. Vorberg
We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and…
Funnel control in the presence of infinite-dimensional internal dynamics
Thomas Berger, Marc Puche, Felix Schwenninger
We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, b…
Input-to-state stability for parabolic boundary control: Linear and semi-linear systems
Felix Schwenninger
Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary cont…
Funnel control for boundary control systems
Marc Puche, Timo Reis, Felix Schwenninger
We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence an…
Funnel control for a moving water tank
Thomas Berger, Marc Puche, Felix Schwenninger
We study tracking control for a nonlinear moving water tank system modelled by the linearized Saint-Venant equations, where the output is given by the position of the tank and the…
Infinite-dimensional input-to-state stability and Orlicz spaces
Birgit Jacob, Robert Nabiullin, Jonathan R. Partington +1
In this work, the relation between input-to-state stability and integral input-to-state stability is studied for linear infinite-dimensional systems with an unbounded control opera…