3 citations · 4 across the 9 of their papers we have counts for
9 papers
Well-posedness and controllability of hyperbolic boundary control systems on a one-dimensional spatial domain
Bouchra Elghazi, Birgit Jacob, Hans Zwart
The aim of this paper is to investigate the well-posedness of a class of boundary control and observation systems on a one dimensional spatial domain. We derive a necessary and suf…
Riccati equations and LQ-optimal control for a class of hyperbolic PDEs
Anthony Hastir, Birgit Jacob, Hans Zwart
We derive an explicit solution to the operator Riccati equation solving the Linear-Quadratic (LQ) optimal control problem for a class of boundary controlled hyperbolic partial diff…
-control for a class of boundary controlled hyperbolic PDEs
Anthony Hastir, Birgit Jacob, Hans Zwart
A solution to the suboptimal -control problem is given for a class of hyperbolic partial differential equations (PDEs). The first result of this manuscript shows that the…
Well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation
Bouchra Elghazi, Birgit Jacob, Hans Zwart
We characterize the well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation. This class includes in particular the Euler-Be…
Spectral analysis of a class of linear hyperbolic partial differential equations
Anthony Hastir, Birgit Jacob, Hans Zwart
A class of linear hyperbolic partial differential equations, sometimes called networks of waves, is considered. For this class of systems, necessary and sufficient conditions are f…
Linear-Quadratic optimal control for boundary controlled networks of waves
Anthony Hastir, Birgit Jacob, Hans Zwart
Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of wav…
Abstract dissipative Hamiltonian differential-algebraic equations are everywhere
Volker Mehrmann, Hans Zwart
In this paper we study the representation of partial differential equations (PDEs) as abstract differential-algebraic equations (DAEs) with dissipative Hamiltonian structure (adHDA…
Port-Hamiltonian Discontinuous Galerkin Finite Element Methods
N. Kumar, J. J. W. van der Vegt, H. J. Zwart
A port-Hamiltonian (pH) system formulation is a geometrical notion used to formulate conservation laws for various physical systems. The distributed parameter port-Hamiltonian form…
Structure Preserving Discretization of 1D Nonlinear Port-Hamiltonian Distributed Parameter Systems
B. C. van Huijgevoort, S. Weiland, H. J. Zwart
This paper contributes with a new formal method of spatial discretization of a class of nonlinear distributed parameter systems that allow a port-Hamiltonian representation over a…