文献类型：期刊文献

英文题名：Optimal Strategies in Multiplayer Reach-Avoid Games With Different Speed Ratios

作者：Wang, Jiali[1];Ho, Daniel W. C.[2];Mao, Shuai[3];Xu, Jing[1];Tang, Yang[1]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]City Univ Hong Kong, Dept Math, Hong Kong, Peoples R China;[3]Nantong Univ, Dept Elect Engn, Nantong 226019, Peoples R China

年份：2026

卷号：56

期号：4

起止页码：2070

外文期刊名：IEEE TRANSACTIONS ON CYBERNETICS

收录：;EI(收录号：20254819617190);WOS:【SCI-EXPANDED(收录号:WOS:001627971600001)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 62233005, Grant U2441245, and Grant 62503247; in part by the Research Grants Council of Hong Kong Special Administrative Region, China, under Grant CityU 11205724 and Grant CityU 11206825; in part by the National Key Laboratory of Space Intelligent Control under Grant HTKJ2024KL502004; in part by the CNPC Innovation Found under Grant 2024DQ02-0507; in part by the Industry-Academia-Research Collaboration Fund of the Eighth Academy of China Aerospace Science and Technology Corporation under Grant SAST2024-060; in part by the Natural Science Foundation of Jiangsu Province under Grant BK20230605; and in part by Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) under Grant SIMIS-ID-2025-SP.

语种：英文

外文关键词：Games; Differential games; Simulation; Robots; Real-time systems; Faces; Dynamic programming; Collaboration; Analytical models; Urban areas; Analytical method; differential games; dominant regions; optimal decisions; speed ratios

摘要：This article investigates reach-avoid games involving defenders equipped with capture radii, where both defenders and attackers have different speeds. The main challenge lies in using geometric methods to analyze different speed ratios, construct barriers, or defensive advantage angles, and divide the state space into defensive and offensive advantage regions. This article proposes optimal analytical strategies for players based on the corresponding payoff functions, depending on the attacker's position within different winning regions under various speed ratios. In addition, we demonstrate the existence of a unique optimal target point within the offensive advantage region. Unlike numerical methods, which are limited by computational complexity and real-time application capabilities, the proposed method allows for the precise calculation of barriers and real-time updates in nonpoint capture scenarios. Finally, simulation results validate the effectiveness of the constructed barriers in multiplayer reach-avoid games.