Malaysian Journal of Mathematical Sciences, September 2015, Vol. 9, No. 3
Discrete Pursuit Game when Controls are subjected to Geometric and Total Constraints
Askar Rakhmanov and Marguba Akbarova
Corresponding Email: atrahmanov@inbox.uz
Received date: -
Accepted date: -
Abstract:
We study two linear discrete game problems, where dynamics of pursuer and evader are described by two different type equations. The terminal set is a subset of $R^n$. In the first problem, controls of players are subjected to geometric constraints, and, in the second one, controls are subjected to total constraints. We obtain sufficient conditions of completion pursuit from certain initial positions of the players in the finite time interval. The strategy of the pursuer is constructed based on information about the initial positions of players and the current value of the control parameter of the evader.
Keywords: Game, pursuer, evader, terminal set, subset, controls of players, strategy, position
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