Enviar artigo por via de e-mail Sub-Finsler Problem on the Cartan Group
- Autores: Ardentov A.A.1, Sachkov Y.L.1
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Afiliações:
- Ailamazyan Program Systems Institute, Russian Academy of Sciences
- Edição: Volume 99, Nº 1 (2019)
- Páginas: 20-22
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225612
- DOI: https://doi.org/10.1134/S1064562419010071
- ID: 225612
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Resumo
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.
Sobre autores
A. Ardentov
Ailamazyan Program Systems Institute, Russian Academy of Sciences
Autor responsável pela correspondência
Email: aaa@pereslavl.ru
Rússia, Pereslavl-Zalessky, Yaroslavl oblast, 152020
Yu. Sachkov
Ailamazyan Program Systems Institute, Russian Academy of Sciences
Email: aaa@pereslavl.ru
Rússia, Pereslavl-Zalessky, Yaroslavl oblast, 152020
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