A sufficient optimality condition for non-linear delayed optimal control problems
Optimization and Control
2019-06-17 v1
Abstract
We prove a sufficient optimality condition for non-linear optimal control problems with delays in both state and control variables. Our result requires the verification of a Hamilton-Jacobi partial differential equation and is obtained through a transformation that allow us to rewrite a delayed optimal control problem as an equivalent non-delayed one.
Cite
@article{arxiv.1804.06937,
title = {A sufficient optimality condition for non-linear delayed optimal control problems},
author = {Ana P. Lemos-Paiao and Cristiana J. Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1804.06937},
year = {2019}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Pure and Applied Functional Analysis', ISSN 2189-3756 (print), ISSN 2189-3764 (online). Submitted 10-Dec-2017; revised 18-April-2018; accepted for publication 18-April-2018