Quadratic order conditions for bang-singular extremals
Optimization and Control
2013-07-02 v4 Systems and Control
Abstract
This paper deals with optimal control problems for systems affine in the control variable. We consider nonnegativity constraints on the control, and finitely many equality and inequality constraints on the final state. First, we obtain second order necessary optimality conditions. Secondly, we derive a second order sufficient condition for the scalar control case.
Cite
@article{arxiv.1107.0161,
title = {Quadratic order conditions for bang-singular extremals},
author = {Maria Soledad Aronna and J. Frederic Bonnans and Andrei V. Dmitruk and Pablo Lotito},
journal= {arXiv preprint arXiv:1107.0161},
year = {2013}
}
Comments
41 pages