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Optimization Methods and Control Theory
Nondegenerate abnormal control in sub-riemannian problem with growth vector $(2,3,5,8)$
E. F. Sachkova Ailamazyan Program Systems Institute of Russian Academy of Sciences
Abstract:
Nilpotent sub-Riemannian problem with growth vector $(2,3,5,8)$ are considered. Canonical abnormal controls are described. Formulas for the corresponding conjugate vectors of the Pontryagin maximum principle are obtained.
(In Russian).
Key words and phrases:
sub-Riemannian problem, abnormal controls, abnormal trajectories.
Received: 04.12.2017 Accepted: 28.12.2017
Citation:
E. F. Sachkova, “Nondegenerate abnormal control in sub-riemannian problem with growth vector $(2,3,5,8)$”, Program Systems: Theory and Applications, 8:4 (2017), 179–195
Linking options:
https://www.mathnet.ru/eng/ps284 https://www.mathnet.ru/eng/ps/v8/i4/p179
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Statistics & downloads: |
Abstract page: | 204 | Full-text PDF : | 43 | References: | 40 |
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