Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector \((2, 3, 5, 8)\)
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Publication:2358835
DOI10.1134/S0012266117030077zbMath1369.49068WikidataQ115250990 ScholiaQ115250990MaRDI QIDQ2358835
Yuri L. Sachkov, E. F. Sachkova
Publication date: 16 June 2017
Published in: Differential Equations (Search for Journal in Brave)
optimal trajectoriesoptimal control problemsub-Riemannian manifoldgrowth vectordegenerate abnormal trajectoriesnilpotent sub-Riemannian problem with the growth vector
Optimal feedback synthesis (49N35) Variational problems in a geometric measure-theoretic setting (49Q20) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)
Related Items (9)
Liouville nonintegrability of sub-Riemannian problems on free Carnot groups of step 4 ⋮ Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater ⋮ Abnormal trajectories in the sub-Riemannian \((2,3,5,8)\) problem ⋮ Unnamed Item ⋮ Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8) ⋮ The structure of abnormal extremals in a sub-Riemannian problem with growth vector ⋮ Sub-Riemannian \((2, 3, 5, 6)\)-structures ⋮ An abnormal set for the \((2,3,5,8)\)-distribution ⋮ Carnot algebras and sub-Riemannian structures with growth vector \((2,\,3,\,5,\,6)\)
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- On Carnot-Caratheodory metrics
- Complete description of the Maxwell strata in the generalized Dido problem
- Symmetries of flat rank two distributions and sub-Riemannian structures
- Exponential map in the generalized Dido problem
- Discrete symmetries in the generalized Dido problem
- The Maxwell set in the generalized Dido problem
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