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20082023
most citedOn continuity of solutions for parabolic control systems and input-to-state stability

59 citations · 154 across the 25 of their papers we have counts for

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8 papers · 1 filter

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.OC2022

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…

math.OC2021

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…

math.OC2018★ 2 cited

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 .…

math.OC2017★ 25 cited

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…

math.OC2014★ 22 cited

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…

math.OC2014★ 2 cited

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…

math.OC2013★ 8 cited

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…