Time optimal control problems for some non-smooth systems
Optimization and Control
2013-09-24 v1
Abstract
Time optimal control problems for some non-smooth systems in general form are considered. The non-smoothness is caused by singularity. It is proved that Pontryagin's maximum principle holds for at least one optimal relaxed control. Thus, Pontryagin's maximum principle holds when the optimal classical control is a unique optimal relaxed control. By constructing an auxiliary controlled system which admits the original optimal classical control as its unique optimal relaxed control, one get a chance to get Pontryagin's maximum principle for the original optimal classical control. Existence results are also considered.
Cite
@article{arxiv.1309.5800,
title = {Time optimal control problems for some non-smooth systems},
author = {Hongwei Lou and Junjie Wen and Yashan Xu},
journal= {arXiv preprint arXiv:1309.5800},
year = {2013}
}
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23 pages