一类带有Gronwall型约束的追逃微分博弈的新策略

中文摘要 AI 辅助

本文在序列空间$l_{2}$中研究一类非合作追逃微分博弈。追逃双方的运动由特定一阶微分方程描述，其控制函数受Gronwall型约束限制，该约束对双方的控制资源施加依赖于历史的界。研究了两个基本问题：针对追及问题，构造了追方的新策略，建立了保证追及完成的充分条件；针对逃避问题，得到了逃方确保规避捕获的容许策略，推导了成功逃避的相应充分条件。所提方法将经典几何与积分约束下微分博弈的现有结果扩展到受Gronwall型约束支配的更广泛系统类别。

英文摘要

This paper studies a class of non-cooperative pursuit-evasion differential games in the sequence space $l_{2}.$ The motions of the pursuer and the evader are described by certain first-order differential equations while their control functions are subject to Gronwall-type constraints which impose history-dependent bounds on their control resources. Two fundamental problems are investigated. For the pursuit problem, new strategy for the pursuer is constructed and sufficient conditions guaranteeing the completion of pursuit are established. For evasion problem, an admissible strategy of the evader ensuring avoidance of capture is obtained, and corresponding sufficient conditions for successful evasion are derived. The proposed approached extends existing results on differential games with classical geometric and integral constraints to a broader class of systems governed by Gronwall-type restrictions.

发表机构

• Federal University Gashua（加舒阿联邦大学）
• Kwantlen Polytechnics University（昆特兰理工大学）
• Federal University of Health Sciences, Azare（阿扎雷联邦健康科学大学）
• Bayero University Kano（卡诺拜罗科大学）

机构由 AI 辅助整理，请以论文原文为准。