TY  - JOUR
A1  - Natemeyer, Carolin
A1  - Wachsmuth, Daniel
T1  - A proximal gradient method for control problems with non-smooth and non-convex control cost
JF  - Computational Optimization and Applications
N2  - We investigate the convergence of the proximal gradient method applied to control problems with non-smooth and non-convex control cost. Here, we focus on control cost functionals that promote sparsity, which includes functionals of L\(^{p}\)-type for p\in [0,1). We prove stationarity properties of weak limit points of the method. These properties are weaker than those provided by Pontryagin’s maximum principle and weaker than L-stationarity.
KW  - sparse control problems
KW  - proximal gradient method
KW  - non-smooth and non-convex optimization
Y1  - 2021
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-269069
SN  - 1573-2894
VL  - 80
IS  - 2
ER  -