{"title":"基于矩阵博弈的多航天器拦截策略研究","authors":"Zhang Hanlong, Zhou Wenya, Zhu Mengping, Xie Zhengyou, Guo Jitang","doi":"10.1007/s42423-024-00159-x","DOIUrl":null,"url":null,"abstract":"<div><p>Aiming at the problem of non-cooperative spacecraft interception under the many-to-many pursuit-evasion game scenario with complete information, this paper establishes a multi-round interception model based on the theory of matrix game, and elaborates the practical significance of the Nash equilibrium mixed strategy in this scenario. Aiming at the demand of model solving, a model solver based on genetic algorithm is designed. Finally, the optimized strategies for many-to-many space interception game is analyzed based on the given scenario and control requirements, and the effectiveness of the established model and its solver is verified by numerical simulation.</p></div>","PeriodicalId":100039,"journal":{"name":"Advances in Astronautics Science and Technology","volume":"7 2","pages":"101 - 110"},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Research on Strategies of Multi-Spacecraft Interception Based on Matrix Game\",\"authors\":\"Zhang Hanlong, Zhou Wenya, Zhu Mengping, Xie Zhengyou, Guo Jitang\",\"doi\":\"10.1007/s42423-024-00159-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Aiming at the problem of non-cooperative spacecraft interception under the many-to-many pursuit-evasion game scenario with complete information, this paper establishes a multi-round interception model based on the theory of matrix game, and elaborates the practical significance of the Nash equilibrium mixed strategy in this scenario. Aiming at the demand of model solving, a model solver based on genetic algorithm is designed. Finally, the optimized strategies for many-to-many space interception game is analyzed based on the given scenario and control requirements, and the effectiveness of the established model and its solver is verified by numerical simulation.</p></div>\",\"PeriodicalId\":100039,\"journal\":{\"name\":\"Advances in Astronautics Science and Technology\",\"volume\":\"7 2\",\"pages\":\"101 - 110\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Astronautics Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s42423-024-00159-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Astronautics Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s42423-024-00159-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Research on Strategies of Multi-Spacecraft Interception Based on Matrix Game
Aiming at the problem of non-cooperative spacecraft interception under the many-to-many pursuit-evasion game scenario with complete information, this paper establishes a multi-round interception model based on the theory of matrix game, and elaborates the practical significance of the Nash equilibrium mixed strategy in this scenario. Aiming at the demand of model solving, a model solver based on genetic algorithm is designed. Finally, the optimized strategies for many-to-many space interception game is analyzed based on the given scenario and control requirements, and the effectiveness of the established model and its solver is verified by numerical simulation.
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