Malaysian Journal of Mathematical Sciences, May 2016, Vol. 10, No. 2
Differential Game with Many Pursuers when Controls are Subjected to Coordinate-wise Integral Constraints
Idham Arif Alias, Gafurjan Ibragimov, Atamurat Kuchkarov, and Akmal Sotvoldiyev
Corresponding Email: ibragimov@upm.edu.my
Received date: -
Accepted date: -
Abstract:
In this paper, we study a differential game of many pursuers and one evader in $\mathbb{R}^2$. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The pursuers try to complete the pursuit, and the evader tries to avoid this. Sufficient conditions for completion of the differential game were obtained. The strategies of the pursuers are constructed based on the current values of the control parameter of the evader. Also, an illustrative example is provided.
Keywords: Differential game, pursuit, control, strategy, coordinate-wise integral constraint
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