IJPAM: Volume 114, No. 4 (2017)

Title

EVASION DIFFERENTIAL GAME OF TWO PURSUERS
AND ONE EVADER WITH COORDINATE-WISE
INTEGRAL CONSTRAINTS

Authors

Piriatharisini Karapanan$^1$, Gafurjan Ibragimov$^2$, Idham Arif Alias$^3$
$^1$Institute for Mathematical Research
Universiti Putra Malaysia
43400 UPM Serdang, Selangor, MALAYSIA
$^{2,3}$Institute for Mathematical Research and Department of Mathematics
Faculty of Science
Universiti Putra Malaysia
43400 UPM Serdang, Selangor, MALAYSIA

Abstract

An evasion differential game of two pursuers and one evader in $\mathbb{R}^2$ is studied. Unlike the traditional integral constraints, in the present work, integral constraints are imposed on each component of control functions of the players. By definition, evasion is said to be possible if the state of a pursuer does not coincide with that of the evader for all $t \geq 0$. Sufficient conditions of evasion are obtained and then strategies for the evader are constructed.

History

Received: October 9, 2016
Revised: April 7, 2017
Published: June 7, 2017

AMS Classification, Key Words

AMS Subject Classification: 91A23, 49N75
Key Words and Phrases: control, coordinate-wise integral constraint, differential game, evasion, strategy

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How to Cite?

DOI: 10.12732/ijpam.v114i4.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 4
Pages: 759 - 770


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