{"title":"《夺旗:一种差异游戏","authors":"M. Pachter, D. Casbeer, Eloy García","doi":"10.1109/CCTA41146.2020.9206333","DOIUrl":null,"url":null,"abstract":"A simplified version of the Capture the Flag game which has been extensively addressed in the literature is considered. This version allows us to model the problem as a differential game and obtain its complete closed-form solution. In this paper the Attacker's and Defender's optimal state-feedback strategies in each one of the players' winning regions are obtained and the analytical Barrier function that separates the state space into the winning regions of each player is constructed.","PeriodicalId":241335,"journal":{"name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Capture-the-Flag: A Differential Game\",\"authors\":\"M. Pachter, D. Casbeer, Eloy García\",\"doi\":\"10.1109/CCTA41146.2020.9206333\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A simplified version of the Capture the Flag game which has been extensively addressed in the literature is considered. This version allows us to model the problem as a differential game and obtain its complete closed-form solution. In this paper the Attacker's and Defender's optimal state-feedback strategies in each one of the players' winning regions are obtained and the analytical Barrier function that separates the state space into the winning regions of each player is constructed.\",\"PeriodicalId\":241335,\"journal\":{\"name\":\"2020 IEEE Conference on Control Technology and Applications (CCTA)\",\"volume\":\"95 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE Conference on Control Technology and Applications (CCTA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCTA41146.2020.9206333\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE Conference on Control Technology and Applications (CCTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCTA41146.2020.9206333","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A simplified version of the Capture the Flag game which has been extensively addressed in the literature is considered. This version allows us to model the problem as a differential game and obtain its complete closed-form solution. In this paper the Attacker's and Defender's optimal state-feedback strategies in each one of the players' winning regions are obtained and the analytical Barrier function that separates the state space into the winning regions of each player is constructed.
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