Malaysian Journal of Mathematical Sciences, January 2015, Vol. 9, No. 1
A Pursuit Problem Described by Infinite System of Differential Equations with Coordinate-Wise Integral Constraints on Control Functions
Gafurjan Ibragimov, Muminjon Tukhtasinov, Risman Mat Hasim and Idham Arif Alias
Corresponding Email: ibragim1ov@gmail.com
Received date: -
Accepted date: -
Abstract:
We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given.
Keywords: Differential game, Hilbert space, infinite system, pursuit, evasion, strategy
Indexing
