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Solution and Optimal Strategies for a Differential Game of Pursuit-Evasion with Point-Wise Constraints
Abstract
This work study a differential game of pursuit-evasion involving countably many pursuers p1,p2,⋯,pm and a single evader e under point-wise (geometric) constraints in the sequence space l2. The pursuers evolve according to specified differential equations of 1st order while the evader follows a 2nd order differential equation. The game period is a fixed time interval of length θ unit of time. The minimum distance between evader and the pursuer at the terminal time denotes the game payoff. The pursuers aim is to minimize the payoff, whereas the evader seeks to maximize it. We obtain the solution of the game, including optimal strategies of the players construction, as well as game value estimation.
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BibTeX
@misc{adamu2026solution,
title = {{Solution and Optimal Strategies for a Differential Game of Pursuit-Evasion with Point-Wise Constraints}},
author = {Jamilu Adamu and Abbas Ja'afaru Badakaya and Felix Wallace Tarry and Mehdi Salimi},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30134},
eprint = {2608.30134},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30134},
}
RIS
TY - UNPB
TI - Solution and Optimal Strategies for a Differential Game of Pursuit-Evasion with Point-Wise Constraints
AU - Jamilu Adamu
AU - Abbas Ja'afaru Badakaya
AU - Felix Wallace Tarry
AU - Mehdi Salimi
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30134
UR - https://arxiv.org/abs/2608.30134
AB - This work study a differential game of pursuit-evasion involving countably many pursuers p_1,p_2,⋯,p_m and a single evader e under point-wise (geometric) constraints in the sequence space l_2. The pursuers evolve according to specified differential equations of 1^st order while the evader follows a 2^nd order differential equation. The game period is a fixed time interval of length θ unit of time. The minimum distance between evader and the pursuer at the terminal time denotes the game payoff. The pursuers aim is to minimize the payoff, whereas the evader seeks to maximize it. We obtain the solution of the game, including optimal strategies of the players construction, as well as game value estimation.
ER -