COMBINED ALGORITHMS FOR CONSTRUCTING A SOLUTION TO THE TIME–OPTIMAL PROBLEM IN THREE-DIMENSIONAL SPACE BASED ON THE SELECTION OF EXTREME POINTS OF THE SCATTERING SURFACE

COMBINED ALGORITHMS FOR CONSTRUCTING A SOLUTION TO THE TIME–OPTIMAL PROBLEM IN THREE-DIMENSIONAL SPACE BASED ON THE SELECTION OF EXTREME POINTS OF THE SCATTERING SURFACE

A class of time-optimal control problems in three-dimensional space with a spherical velocity vector is considered. A smooth regular curve \(\Gamma\) is chosen as the target set. We distinguish pseudo-vertices that are characteristic points on \(\Gamma\) and responsible for the appearance of a singu...

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Bibliographic Details
Main Authors: Pavel D. Lebedev, Alexander A. Uspenskii
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2022-12-01
Series:Ural Mathematical Journal
Subjects:
time-optimal problem, dispersing surface, bisector, pseudo-vertex, extreme point, curvature, singular set, frenet-serret frame (tnb frame)
Online Access:https://umjuran.ru/index.php/umj/article/view/559
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