几何约束下的多追踪者和单追踪者逃避微分对策

IF 0.6 Q4 ECONOMICS

Games Pub Date : 2023-06-29 DOI:10.3390/g14040052

G. Ibragimov, Marks Ruziboev, I. Zaynabiddinov, B. Pansera

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引用次数: 0

摘要

我们研究了一个有多个追求者和一个逃避者的微分逃避对策ℓ2.玩家的控制功能受到几何约束。追求者的目标是将至少一个受控系统的状态带到ℓ2，而逃避者的目标是防止这种情况在有限的时间间隔内发生。我们从任何初始状态导出了规避的充分条件，并构造了规避者的规避策略。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ2

We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ2. The control functions of the players are subject to geometric constraints. The pursuers’ goal is to bring the state of at least one of the controlled systems to the origin of ℓ2, while the evader’s goal is to prevent this from happening in a finite interval of time. We derive a sufficient condition for evasion from any initial state and construct an evasion strategy for the evader.

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来源期刊

Games Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

11 weeks

期刊介绍： Games (ISSN 2073-4336) is an international, peer-reviewed, quick-refereeing open access journal (free for readers), which provides an advanced forum for studies related to strategic interaction, game theory and its applications, and decision making. The aim is to provide an interdisciplinary forum for all behavioral sciences and related fields, including economics, psychology, political science, mathematics, computer science, and biology (including animal behavior). To guarantee a rapid refereeing and editorial process, Games follows standard publication practices in the natural sciences.