Zha, Wenzhong and Chen, Jie and Peng, Zhihong and Gu, Dongbing (2017) Construction of Barrier in a Fishing Game With Point Capture. IEEE Transactions on Cybernetics, 47 (6). pp. 1409-1422. DOI https://doi.org/10.1109/TCYB.2016.2546381
Zha, Wenzhong and Chen, Jie and Peng, Zhihong and Gu, Dongbing (2017) Construction of Barrier in a Fishing Game With Point Capture. IEEE Transactions on Cybernetics, 47 (6). pp. 1409-1422. DOI https://doi.org/10.1109/TCYB.2016.2546381
Zha, Wenzhong and Chen, Jie and Peng, Zhihong and Gu, Dongbing (2017) Construction of Barrier in a Fishing Game With Point Capture. IEEE Transactions on Cybernetics, 47 (6). pp. 1409-1422. DOI https://doi.org/10.1109/TCYB.2016.2546381
Abstract
This paper addresses a particular pursuit-evasion game, called as “fishing game” where a faster evader attempts to pass the gap between two pursuers. We are concerned with the conditions under which the evader or pursuers can win the game. This is a game of kind in which an essential aspect, barrier, separates the state space into disjoint parts associated with each player's winning region. We present a method of explicit policy to construct the barrier. This method divides the fishing game into two subgames related to the included angle and the relative distances between the evader and the pursuers, respectively, and then analyzes the possibility of capture or escape for each subgame to ascertain the analytical forms of the barrier. Furthermore, we fuse the games of kind and degree by solving the optimal control strategies in the minimum time for each player when the initial state lies in their winning regions. Along with the optimal strategies, the trajectories of the players are delineated and the upper bounds of their winning times are also derived.
Item Type: | Article |
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Uncontrolled Keywords: | Barrier; fishing game; optimal strategies; point capture; pursuit-evasion games; winning regions |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Computer Science and Electronic Engineering, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 02 Mar 2020 11:11 |
Last Modified: | 07 Aug 2024 18:21 |
URI: | http://repository.essex.ac.uk/id/eprint/26984 |
Available files
Filename: Cybernetics 20160323-11.pdf