Page 79 - programme book

OT-006
Integral Constraints Pursuit Differential Game of an Infinite First Order 3-
System of Differential Equations

Diviekga Nair Madhavan 1, a) and Idham Arif Alias 1, 2, b)

1 Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
2 Institute for Mathematical Research, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.

a) Corresponding author: diviekganair@gmail.com
b) idham_aa@upm.edu.my

Abstract. We investigate a pursuit differential game of two pursuers against an evader in Hilbert space
l2. The equation of the game is described by an infinite first order 3-system of differential equations
with integral constraints subjected to the control functions of all the players. The game terminates
when both pursuers forward the initial state of the system into another state given by N where N could
also be a zeroth state. In this study, a solution for the control problem is found. Consequently,
admissible strategy for the pursuers is developed and sufficient conditions to complete the pursuit on
a finite time interval are established.

Keywords: Pursuit, control, strategy, infinite system of differential equations, integral constraints

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