A differential game with two pursuers and one evader View Full Text


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Article Info

DATE

1976-01

AUTHORS

P. Hagedorn, J. V. Breakwell

ABSTRACT

This paper is concerned with a coplanar pursuit-evasion problem in which a faster evaderE with constant speedw>1 must pass between two pursuersP1,P2 having unit speed, the payoff being the distance of closest approach to either one of the pursuers. The control variables are the directions of the velocities ofP1,P2, andE. The path equations are integrated, and a closed-form solution is obtained in terms of elliptic functions of the first and second kind. A closed-loop solution is given graphically in several diagrams, for different values ofw. More... »

PAGES

15-29

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00933791

DOI

http://dx.doi.org/10.1007/bf00933791

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1010367363


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