Noether's Theorem for Control Problems on Time Scales
Optimization and Control
2014-06-04 v1
Abstract
We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous-time optimal control problems. The generalization involves a one-parameter family of maps which depend also on the control and a Lagrangian which is invariant up to an addition of an exact delta differential. We apply our results to some concrete optimal control problems on an arbitrary time scale.
Cite
@article{arxiv.1406.0705,
title = {Noether's Theorem for Control Problems on Time Scales},
author = {Agnieszka B. Malinowska and Moulay Rchid Sidi Ammi},
journal= {arXiv preprint arXiv:1406.0705},
year = {2014}
}
Comments
This is a preprint of a paper whose final and definite form is published in International Journal of Difference Equations ISSN 0973-6069, Vol. 9 (2014), no. 1, 87--100