Consistent Approximations to Impulsive Optimal Control Problems
Optimization and Control
2016-07-11 v2
Abstract
We analyse the theory of consistent approximations given by Polak and we use it in an impulsive optimal control problem. We reparametrize the original system and build consistent approximations for this new reparametrized problem. So, we prove that if a sequence of solution of the consistent approximations is converging, it will converge to a solution of the reparametrized problem, and, finally, we show that from a solution of the reparametrized problem we can find a solution of the original one.
Cite
@article{arxiv.1605.03627,
title = {Consistent Approximations to Impulsive Optimal Control Problems},
author = {Daniella Porto and Geraldo Nunes Silva and Heloísa Helena Marino Silva},
journal= {arXiv preprint arXiv:1605.03627},
year = {2016}
}