59 citations · 154 across the 25 of their papers we have counts for
27 papers
Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction
Birgit Jacob, Hans Zwart
We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear…
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…
Stability via closure relations with applications to dissipative and port-Hamiltonian systems
Jochen Glück, Birgit Jacob, Annika Meyer +2
We consider differential operators that can be represented by means of a so-called closure relation in terms of a simpler operator defined on a larger…
Asymptotic Stability of port-Hamiltonian Systems
Marcus Waurick, Hans Zwart
We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from -semigroup theory. The idea of proof is…
Symplectic model order reduction of port-Hamiltonian systems
Silke Glas, Mir Mamunuzzaman, Hongliang Mu +1
This work proposes a novel structure-preserving model order reduction (MOR) method for linear, time-invariant port-Hamiltonian (pH) systems. Our goal is to construct a reduced orde…
Observability for port-Hamiltonian systems
Birgit Jacob, Hans Zwart
The class of port-Hamiltonian systems incorporates many physical models, such as mechanical systems in the finite-dimensional case and wave and beam equations in the infinite-dimen…
Riesz bases of port-Hamiltonian systems
Birgit Jacob, Julia T. Kaiser, Hans Zwart
The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a 1D spatial domain are studied. It is s…
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances
Jochen Schmid, Hans Zwart
In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of arbitrary order on a bounded -dimensional spatial domain .…
A Review on Realization Theory for Infinite-Dimensional Systems
Birgit Jacob, Hans Zwart
We give an introduction to the realisation theory for infinite-dimensional systems. That is, we show that for any function , analytic and bounded in the right half of the comple…
Zero Dynamics for Port-Hamiltonian Systems
Birgit Jacob, Kirsten A. Morris, Hans Zwart
The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the ze…
On continuity of solutions for parabolic control systems and input-to-state stability
Birgit Jacob, Felix Schwenninger, Hans Zwart
We study minimal conditions under which mild solutions of linear evolutionary control systems are continuous for arbitrary bounded input functions. This question naturally appears…
Port-Hamiltonian descriptor systems
Christopher Beattie, Volker Mehrmann, Hongguo Xu +1
The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebra…
Equivalence between estimates for quasi-commutators and commutators
Hans Zwart
In this short note we show that under some mild conditions on the space and the operators, an estimate for needs only to be studied for invertible and e…
A law for cosine families with to
Felix L. Schwenninger, Hans Zwart
For being a cosine family on a unital normed algebra, we show that the estimate implies that …
Functional calculus for -semigroups using infinite-dimensional systems theory
Felix Schwenninger, Hans Zwart
In this short note we use ideas from systems theory to define a functional calculus for infinitesimal generators of strongly continuous semigroups on a Hilbert space. Among others,…
-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
Birgit Jacob, Kirsten Morris, Hans Zwart
Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equatio…
Linear wave systems on -D spatial domains
Mikael Kurula, Hans Zwart
In this paper we study the linear wave equation on an -dimensional spatial domain. We show that there is a boundary triplet associated to the undamped wave equation. This enable…
Linearization and exponential stability
Hans Zwart
We give sufficient conditions such that the exponential stability of the linearization of a non-linear system implies that the non-linear system is (locally) exponentially stable.…
Feedback theory extended for proving generation of contraction semigroups
Mikael Kurula, Hans Zwart
Recently, the following novel method for proving the existence of solutions for certain linear time-invariant PDEs was introduced: The operator associated to a given PDE is represe…
Zero-two law for cosine families
Felix Schwenninger, Hans Zwart
For being a strongly continuous cosine family on a Banach space, we show that the estimate implies that …
Less than one implies zero
Felix Schwenninger, Hans Zwart
In this paper we show that from the estimate we can conclude that equals . Here is a stro…
Generators with a closure relation
Felix Schwenninger, Hans Zwart
Assume that a block operator of the form , acting on the Banach space , generates a contrac…
De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane
Joseph A. Ball, Mikael Kurula, Olof J. Staffans +1
We give a controllable energy-preserving and an observable co-energy-preserving de Branges-Rovnyak functional model realization of an arbitrary given operator Schur function define…
Weakly admissible $H^{\infty}(\C_{-})$-calculus on general Banach spaces
Felix Schwenninger, Hans Zwart
We show that, given a Banach space and a generator of an exponentially stable -semigroup, a weakly admissible operator can be defined for any bounded, analytic fu…