4 papers
Structure Preserving Approximation of Semiconcave Functions
Karl Kunisch, Donato Vásquez-Varas
This article addresses structure-preserving smooth approximation of semiconcave functions. semiconcave functions are of particular interest because they naturally arise in a variet…
Convergence of machine learning methods for feedback control laws: averaged feedback learning scheme and data driven methods
Karl Kunisch, Donato Vásquez-Varas
This work addresses the synthesis of optimal feedback control laws via machine learning. In particular, the Averaged Feedback Learning Scheme (AFLS) and a data driven method are co…
Smooth approximation of feedback laws for infinite horizon control problems with non-smooth value functions
Karl Kunisch, Donato Vásquez-Varas
In this work the synthesis of approximate optimal and smooth feedback laws for infinite horizon optimal control problems is addressed. In this regards, type error bounds of…
The maximization of the p-Laplacian energy for a two-phase material
Juan Casado-Díaz, Carlos Conca, Donato Vásquez-Varas
We consider the optimal arrangement of two diffusion materials in a bounded open set in order to maximize the energy. The diffusion problem is modeled by th…