Email this article Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector (2, 3, 5, 8)
- Authors: Sachkov Y.L.1,2,3, Sachkova E.F.2
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Ailamazyan Program Systems Institute of Russian Academy of Sciences
- Peoples Friendship University of Russia
- Issue: Vol 53, No 3 (2017)
- Pages: 352-365
- Section: Control Theory
- URL: https://journal-vniispk.ru/0012-2661/article/view/154312
- DOI: https://doi.org/10.1134/S0012266117030077
- ID: 154312
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Abstract
We consider the nilpotent sub-Riemannian problem with growth vector (2, 3, 5, 8). We describe and study abnormal extremals orthogonal to the cube of the distribution. We analyze the geometric properties of a two-dimensional surface in the state space on which the corresponding abnormal trajectories define optimal synthesis.
About the authors
Yu. L. Sachkov
Steklov Mathematical Institute of the Russian Academy of Sciences; Ailamazyan Program Systems Institute of Russian Academy of Sciences; Peoples Friendship University of Russia
Author for correspondence.
Email: yusachkov@gmail.com
Russian Federation, Moscow, 119991; Yaroslavskaya oblast, Pereslavskii raion, s. Ves’kovo, 152021; Moscow, 117198
E. F. Sachkova
Ailamazyan Program Systems Institute of Russian Academy of Sciences
Email: yusachkov@gmail.com
Russian Federation, Yaroslavskaya oblast, Pereslavskii raion, s. Ves’kovo, 152021
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