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Pursuit-Evasion Game with Hybrid System of Dynamics
  • Mehdi Salimi
Mehdi Salimi
McMaster University
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Abstract

Pursuit-evasion games are the next logical stage in the exploring of powerful, intelligent, adaptive performance. In fact the optimal strategy is known for games in an infinitely sized playing field. The quality of the machine learning methods can thus be compared to the optimal performance possible. Therefore, we consider in this study a pursuit-evasion differential game in Hilbert space l2 with a hybrid system of dynamics. The game consists of a non-inertial pursuer and an inertial evader where controls of the pursuer and the evader are satisfied to the integral constraints. The duration of the game, φ, is fixed. The position of the evader at time φ satisfies to the phase constraint. We obtain attainability domains of the players and then we make a winning strategy for the pursuer which guarantees capturing the evader. We show that our constructed strategy is admissible as well.

Peer review status:ACCEPTED

03 Oct 2020Submitted to Mathematical Methods in the Applied Sciences
06 Oct 2020Submission Checks Completed
06 Oct 2020Assigned to Editor
12 Oct 2020Reviewer(s) Assigned
01 Nov 2020Review(s) Completed, Editorial Evaluation Pending
02 Nov 2020Editorial Decision: Revise Minor
07 Nov 20201st Revision Received
07 Nov 2020Submission Checks Completed
07 Nov 2020Assigned to Editor
07 Nov 2020Editorial Decision: Accept