Open Access
Translator Disclaimer
2012 Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
Gafurjan Ibragimov, Yusra Salleh
J. Appl. Math. 2012: 1-10 (2012). DOI: 10.1155/2012/748096

Abstract

We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided.

Citation

Download Citation

Gafurjan Ibragimov. Yusra Salleh. "Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players." J. Appl. Math. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/748096

Information

Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1264.91024
MathSciNet: MR2984210
Digital Object Identifier: 10.1155/2012/748096

Rights: Copyright © 2012 Hindawi

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.2012 • 2012
Back to Top