4 citations · 8 across the 15 of their papers we have counts for
5 papers · 1 filter
On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints
Joshua M. Siktar
This paper studies a new class of nonlocal optimal control problems where the constraints involve approximations of minimizers of quasiconvex energies. These problems are parameter…
Localization for nonlocal gradient-based optimal control problems
Javier Cueto, Joshua M. Siktar
In this paper we consider optimal control problems in the nonlocal function space framework of Bellido-2023, where there are two different parameters: a horizon parameter ; a…
Asymptotic compatibility of parametrized optimal design problems
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study optimal design problems where the design corresponds to a coefficient in the principal part of the state equation. The state equation, in addition, is parameter dependent,…
Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls
Joshua M. Siktar
This paper gives an existence result for solutions to an elliptic optimal control problem based on a general fractional kernel, where the admissible controls come from a class sati…
On the Optimal Control of a Linear Peridynamics Model
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our problem, we investigate…