Second order analysis of control-affine problems with scalar state constraint
Optimization and Control
2019-01-15 v3 Numerical Analysis
Abstract
In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition.
Keywords
Cite
@article{arxiv.1411.1719,
title = {Second order analysis of control-affine problems with scalar state constraint},
author = {M. Soledad Aronna and Frédéric Bonnans and Bean San Goh},
journal= {arXiv preprint arXiv:1411.1719},
year = {2019}
}
Comments
To appear in Mathematical Programming - Series A