A Sub-Finsler Problem on the Cartan Group
Year of publication
2019
Authors
Ardentov, A. A.; Le Donne, E.; Sachkov, Yu. L.
Abstract
We study a sub-Finsler geometric problem on the free nilpotent group of rank 2 and step 3. Such a group is also called the Cartan group and has a natural structure of Carnot group, which we metrize by considering the l∞ norm on its first layer. We adopt the point of view of time-optimal control theory. We characterize extremal curves via the Pontryagin maximum principle. We describe abnormal and singular arcs and construct the bang-bang flow.
Show moreOrganizations and authors
University of Jyväskylä
Le Donne Enrico 
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
304
Issue
1
Pages
42-59
ISSN
Publication forum
Publication forum level
1
Open access
Open access in the publisher’s service
No
Self-archived
No
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object]
Publication country
Russian Federation
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1134/S0081543819010048
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes