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- W3043460315 abstract "We consider the sub-Riemannian problem on the group of rigid body motions in three–dimensional space. Such a problem is encountered in the analysis of 3D images as well as in describing the motion of a solid body in a fluid. Mathematically, this problem reduces to solving a Hamiltonian system, the vertical part of which is a system of six differential equations with unknown functions — extremal controls. We derive an ordinary differential equation for one of the components of the extremal control vector. The obtained equation admits a solution in elliptic functions. Then we find the expression in the operator form for the remaining components of the extremal control vector." @default.
- W3043460315 created "2020-07-23" @default.
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- W3043460315 date "2020-06-01" @default.
- W3043460315 modified "2023-09-24" @default.
- W3043460315 title "On Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions" @default.
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- W3043460315 doi "https://doi.org/10.1109/stab49150.2020.9140718" @default.
- W3043460315 hasPublicationYear "2020" @default.
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