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math.OC2025
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…
math.OC2025
-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…
math.AP2025
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…