{"title":"一类非线性微分对策的近似解","authors":"T. Mylvaganam, M. Sassano, A. Astolfi","doi":"10.1109/CDC.2012.6426353","DOIUrl":null,"url":null,"abstract":"A method to find approximate solutions to a class of nonzero-sum differential games without solving partial differential equations is introduced. The solution relies upon the use of a dynamic state feedback control law and the solution of algebraic equations. The two-player case is addressed before the N-player case is discussed and a numerical example with two players illustrates the theory.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"81 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Approximate solutions to a class of nonlinear differential games\",\"authors\":\"T. Mylvaganam, M. Sassano, A. Astolfi\",\"doi\":\"10.1109/CDC.2012.6426353\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method to find approximate solutions to a class of nonzero-sum differential games without solving partial differential equations is introduced. The solution relies upon the use of a dynamic state feedback control law and the solution of algebraic equations. The two-player case is addressed before the N-player case is discussed and a numerical example with two players illustrates the theory.\",\"PeriodicalId\":312426,\"journal\":{\"name\":\"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)\",\"volume\":\"81 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2012.6426353\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2012.6426353","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximate solutions to a class of nonlinear differential games
A method to find approximate solutions to a class of nonzero-sum differential games without solving partial differential equations is introduced. The solution relies upon the use of a dynamic state feedback control law and the solution of algebraic equations. The two-player case is addressed before the N-player case is discussed and a numerical example with two players illustrates the theory.