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Sub-Finsler problem on Cartan group
- Authors: Ardentov A.A.1, Sachkov Y.L.1
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Affiliations:
- Ailamazyan Program Systems Institute of the Russian Academy of Sciences
- Issue: Vol 484, No 2 (2019)
- Pages: 138-141
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/11714
- DOI: https://doi.org/10.31857/S0869-56524842138-141
- ID: 11714
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Abstract
Left invariant l-infinity sub-Finsler problem on Cartan group is considered as time-optimal control problem. We describe abnormal and singular normal trajectories, then prove that all such trajectories are optimal. We construct the bang-bang flow and obtain upper bounds on the number of switchings on bang-bang and mixed minimizers.
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About the authors
A. A. Ardentov
Ailamazyan Program Systems Institute of the Russian Academy of Sciences
Author for correspondence.
Email: aaa@pereslavl.ru
Russian Federation, Veskovo Pereslavsky district, Yaroslavl region
Yu. L. Sachkov
Ailamazyan Program Systems Institute of the Russian Academy of Sciences
Email: aaa@pereslavl.ru
Russian Federation, Veskovo Pereslavsky district, Yaroslavl region
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