The turnpike property in semilinear control
Optimization and Control
2021-01-26 v3
Abstract
An exponential turnpike property for a semilinear control problem is proved. The state-target is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results are also obtained for large targets, requiring that the control acts everywhere. In this case, we prove the convergence of the infimum of the averaged time-evolution functional towards the steady one. Numerical simulations are performed.
Keywords
Cite
@article{arxiv.2004.03269,
title = {The turnpike property in semilinear control},
author = {Dario Pighin},
journal= {arXiv preprint arXiv:2004.03269},
year = {2021}
}