3 citations · 3 across the 11 of their papers we have counts for
9 papers · 1 filter
Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback
Bouchra Elghazi, Birgit Jacob, Christophe Prieur
The input-to-state stability of a class of infinite-dimensional second-order port-Hamiltonian systems on a one-dimensional spatial domain is analyzed under nonlinear dynamic bounda…
Real and complex stability radii for a class of transport networks
Anthony Hastir, Birgit Jacob, Hannes Wagener
We characterize stability and its robustness for a class of boundary controlled, boundary observed hyperbolic partial differential equations. In particular, we show that asymptotic…
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…
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…
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…
-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…
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…