Malaysian Journal of Mathematical Sciences, May 2017, Vol. 11, No. 2
Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
Ibragimov, G., Akhmedov, A., Puteri Nur Izzati, and Abdul Manaf, N.
Corresponding Email: ibragimov@upm.edu.my
Received date: 5 November 2016
Accepted date: 13 March 2017
Abstract:
We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer tries to complete the game, while the aim of evader is opposite. The problem is to find a formula for guaranteed pursuit time. In the present paper, an equation for guaranteed pursuit time is obtained. Moreover, a strategy for the pursuer is constructed in explicit form. To prove the main result, we use solution of a control problem.
Keywords: Differential game, infinite system, pursuer, evader, geometric constraint, control, strategy
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