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- W2939792017 abstract "A new convenient method of describing flat convex compact sets is proposed. It generalizes classical trigonometric functions $sin$ and $cos$. Apparently, this method may be very useful for explicit description of solutions of optimal control problems with two-dimensional control. Using this method a series of sub-Finsler problems with two-dimensional control lying in an arbitrary convex set $Omega$ is investigated. Namely, problems on the Heisenberg, Engel, and Cartan groups and also Grushin's and Martinet's cases are considered. A particular attention is paid to the case when $Omega$ is a polygon." @default.
- W2939792017 created "2019-04-25" @default.
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- W2939792017 date "2018-01-01" @default.
- W2939792017 modified "2023-09-26" @default.
- W2939792017 title "Convex trigonometry with applications to sub-Finsler geometry" @default.
- W2939792017 doi "https://doi.org/10.4213/proc23004" @default.
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