Conjugate times and regularity of the minimum time function with differential inclusions
Optimization and Control
2015-09-30 v2
Abstract
This paper studies the regularity of the minimum time function, , for a control system with a general closed target, taking the state equation in the form of a differential inclusion. Our first result is a sensitivity relation which guarantees the propagation of the proximal subdifferential of along any optimal trajectory. Then, we obtain the local regularity of the minimum time function along optimal trajectories by using such a relation to exclude the presence of conjugate times.
Keywords
Cite
@article{arxiv.1501.01503,
title = {Conjugate times and regularity of the minimum time function with differential inclusions},
author = {Piermarco Cannarsa and Teresa Scarinci},
journal= {arXiv preprint arXiv:1501.01503},
year = {2015}
}