Optimal sampled-data control, and generalizations on time scales
Optimization and Control
2015-12-09 v2
Abstract
In this paper, we derive a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. Our framework is actually much more general, and we treat optimal control problems for which the state variable evolves on a given time scale (arbitrary non-empty closed subset of R), and the control variable evolves on a smaller time scale. Sampled-data systems are then a particular case. Our proof is based on the construction of appropriate needle-like variations and on the Ekeland variational principle.
Cite
@article{arxiv.1501.07361,
title = {Optimal sampled-data control, and generalizations on time scales},
author = {Loïc Bourdin and Emmanuel Trélat},
journal= {arXiv preprint arXiv:1501.07361},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1302.3513