7 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…
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…
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…
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…
-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…
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…