Abstract
Using the Pontryagin maximum principle for the time-optimal problem in coordinates of the first kind,we find the extremals of an arbitrary left-invariant sub-Finsler metric on the Engel group defined by a distribution of rank 2.
Original language | English |
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Pages (from-to) | 575-588 |
Number of pages | 14 |
Journal | Siberian Mathematical Journal |
Volume | 61 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jul 2020 |
Keywords
- (ab)normal extremal
- extremal
- left-invariant sub-Finsler metric
- optimal control
- polar curve
- Pontryagin maximum principle
OECD FOS+WOS
- 1.01.PQ MATHEMATICS