Email this article Sub-Finsler Problem on the Cartan Group
- Authors: Ardentov A.A.1, Sachkov Y.L.1
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Affiliations:
- Ailamazyan Program Systems Institute, Russian Academy of Sciences
- Issue: Vol 99, No 1 (2019)
- Pages: 20-22
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225612
- DOI: https://doi.org/10.1134/S1064562419010071
- ID: 225612
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Abstract
A left-invariant \({{l}_{\infty }}\)-sub-Finsler problem on Cartan group is treated as a time-optimal control problem. Abnormal and singular normal trajectories are described, and their optimality is proved. A bang-bang phase flow is constructed, and estimates for the number of switchings on bang-bang and mixed trajectories are obtained.
About the authors
A. A. Ardentov
Ailamazyan Program Systems Institute, Russian Academy of Sciences
Author for correspondence.
Email: aaa@pereslavl.ru
Russian Federation, Pereslavl-Zalessky, Yaroslavl oblast, 152020
Yu. L. Sachkov
Ailamazyan Program Systems Institute, Russian Academy of Sciences
Email: aaa@pereslavl.ru
Russian Federation, Pereslavl-Zalessky, Yaroslavl oblast, 152020
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