From the 1 of 9 linked papers with an AI index.
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Real and complex stability radii for a class of transport networks
Anthony Hastir, Birgit Jacob, Hannes Wagener
The paper studies stability and robustness of boundary‑controlled hyperbolic PDE models for transport networks, showing that asymptotic and exponential stability are equivalent and…
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…
Unknown input observer design for a class of coupled wave PDE systems
Najmeh Ghaderi, Birgit Jacob
This paper deals with the problem of designing unknown input observers for a class of coupled semilinear wave partial differential equations (PDE) systems. A state observer is desi…
Dissipativity-based time domain decomposition for optimal control of hyperbolic PDEs
Bálint Farkas, Birgit Jacob, Manuel Schaller +1
We propose a time domain decomposition approach to optimal control of partial differential equations (PDEs) based on semigroup theoretic methods. We formulate the optimality system…
LQ optimal control for infinite-dimensional passive systems
Anthony Hastir, Birgit Jacob
We study the Linear-Quadratic optimal control problem for a general class of infinite-dimensional passive systems, allowing for unbounded input and output operators. We show that u…
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…