34 citations · 178 across the 21 of their papers we have counts for
22 papers
Optimal Control of a Class of Reaction-Diffusion Systems with Pointwise State Constraints
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
We study optimal control problems governed by a system of semilinear reaction-diffusion equations. The assumptions on the governing system are formulated so that our results apply…
Dirichlet control problems with energy regularization governed by non-coercive elliptic equations
Thomas Apel, Mariano Mateos, Arnd Rösch
The present study investigates a linear-quadratic Dirichlet control problem governed by a non-coercive elliptic equation posed on a possibly non-convex polygonal domain. Tikhonov r…
Quadratic convergence of an SQP method for some optimization problems with applications to control theory
Eduardo Casas, Mariano Mateos
We analyze a sequential quadratic programming algorithm for solving a class of abstract optimization problems. Assuming that the initial point is in an neighborhood of a loca…
Boundary bilinear control of semilinear parabolic PDEs: quadratic convergence of the SQP method
Eduardo Casas, Mariano Mateos
We analyze a bilinear control problem governed by a semilinear parabolic equation. The control variable is the Robin coefficient on the boundary. First-order necessary and second-o…
Error estimates for the discretization of bilinear control problems governed by semilinear elliptic PDEs
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
This paper studies an optimal control problem governed by a semilinear elliptic equation, in which the control acts in a multiplicative or bilinear way as the reaction coefficient…
Non-coercive Neumann boundary control problems
Thomas Apel, Mariano Mateos, Arnd Rösch
The article examines a linear-quadratic Neumann control problem that is governed by a non-coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-st…