Operators arising as Second Variation of optimal control problems and their spectral asymptotics
Optimization and Control
2022-06-08 v2
Abstract
We compute the asymptotic for the eigenvalues of a particular class of compact operators deeply linked with the second variation of optimal control problems. We characterize this family in terms of a set of finite dimensional data and we apply this results to a particular class of singular extremal to get a nice description of the spectrum of the second variation.
Cite
@article{arxiv.2107.12290,
title = {Operators arising as Second Variation of optimal control problems and their spectral asymptotics},
author = {Stefano Baranzini},
journal= {arXiv preprint arXiv:2107.12290},
year = {2022}
}
Comments
34 pages, new and improved exposition and many typos corrected