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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v36.i1.30
pages 19-27

On Substantiation of the Proportional Navigation Method in the Simple Pursuit Problem

Alexey P. Ignatenko
Institute of Software Systems of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Arkadiy A. Chikriy
V.M. Glushkov Institute of Cybernetics National Academy of Sciences of Ukraine 40 Akadem. Glushkov Ave., Kiev, 03187, Ukraine


The method of proportional navigation in the simple pursuit problem in n-dimensional space is studied. Interconnection of the method with methods of parallel pursuit and pursuit path is investigated. A parametric equation describing all mentioned pursuit methods is formulated. The resolving function of the proportional navigation method is introduced and substantiated. Boundedness of time of the family of proportional navigation methods is proved.

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