Constraint Algorithm for Extremals in Optimal Control Problems
Optimization and Control
2008-02-06 v3 Mathematical Physics
math.MP
Abstract
A geometric method is described to characterize the different kinds of extremals in optimal control theory. This comes from the use of a presymplectic constraint algorithm starting from the necessary conditions given by Pontryagin's Maximum Principle. Apart from the design of this general algorithm useful for any optimal control problem, it is showed how it works to split the set of extremals and, in particular, to characterize the strict abnormality. An example of strict abnormal extremal for a particular control-affine system is also given.
Cite
@article{arxiv.0708.0102,
title = {Constraint Algorithm for Extremals in Optimal Control Problems},
author = {Maria Barbero-Liñan and Miguel C. Muñoz-Lecanda},
journal= {arXiv preprint arXiv:0708.0102},
year = {2008}
}
Comments
15 pages. The introduction and the abstract have been modified. The paper has been significantly shortened. The previous examples have been substituted for a new example