Optimal control of an evolution equation with non-smooth dissipation
Optimization and Control
2018-01-15 v1
Abstract
In the present work we study the optimal control of an evolution equation with non-smooth dissipation. The solution mapping of this system is non-smooth and hence the analysis is quite challenging. Our approach is to regularize the dissipation via approximation by a smooth function. We derive optimality conditions for the corresponding smooth optimal control problem. Then we drive the regularization parameter to zero and obtain necessary optimality conditions for the original non-smooth problem. However, in this process we lose regularity of the adjoint variables.
Cite
@article{arxiv.1801.04077,
title = {Optimal control of an evolution equation with non-smooth dissipation},
author = {Tobias Geiger and Daniel Wachsmuth},
journal= {arXiv preprint arXiv:1801.04077},
year = {2018}
}