On the stability of trajectories in the task of pursuit

In two-dimensional and three-dimensional statements, a generalization of the pursuit problem is considered, when the object being pursued moves in a circle (plane case) or in a helical line (three-dimensional case), and various cases of dependence of object velocities in the problem are considered....

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Bibliographic Details
Published inIOP conference series. Materials Science and Engineering Vol. 489; no. 1; pp. 12050 - 12054
Main Authors Andreeva, M V, Pavlovsky, V E
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 26.03.2019
Subjects
Dimensional stability
Motion stability
Object motion
Stability analysis
Trajectories
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Summary:In two-dimensional and three-dimensional statements, a generalization of the pursuit problem is considered, when the object being pursued moves in a circle (plane case) or in a helical line (three-dimensional case), and various cases of dependence of object velocities in the problem are considered. Conditions are analytically obtained for the stability of the trajectories of motion of objects in the problem. Possible realization of this problem - the pursuit of one drone by another one as flying objects.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/489/1/012050