{"title":"根据Korobov的可接受最大值原则","authors":"A. E. Choque-Rivero, Pedro Luis Cástulo Cruz","doi":"10.1109/ROPEC.2016.7830634","DOIUrl":null,"url":null,"abstract":"Based on the controllability function method a family of bang-bang controls satisfying Korobov's admissible maximum principle (KAMP) for the Brunovsky control system is given. By using the resultant of two polynomials the switching surface corresponding to the Pontryagin maximum principle (PMP) as well as the KAMP for control system of dimension 2 are attained. A conjecture of switching surfaces of the PMP and KAMP for the Brunovsky system of dimension 3 is presented","PeriodicalId":166098,"journal":{"name":"2016 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On Korobov's admissible maximum principle\",\"authors\":\"A. E. Choque-Rivero, Pedro Luis Cástulo Cruz\",\"doi\":\"10.1109/ROPEC.2016.7830634\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on the controllability function method a family of bang-bang controls satisfying Korobov's admissible maximum principle (KAMP) for the Brunovsky control system is given. By using the resultant of two polynomials the switching surface corresponding to the Pontryagin maximum principle (PMP) as well as the KAMP for control system of dimension 2 are attained. A conjecture of switching surfaces of the PMP and KAMP for the Brunovsky system of dimension 3 is presented\",\"PeriodicalId\":166098,\"journal\":{\"name\":\"2016 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ROPEC.2016.7830634\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ROPEC.2016.7830634","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Based on the controllability function method a family of bang-bang controls satisfying Korobov's admissible maximum principle (KAMP) for the Brunovsky control system is given. By using the resultant of two polynomials the switching surface corresponding to the Pontryagin maximum principle (PMP) as well as the KAMP for control system of dimension 2 are attained. A conjecture of switching surfaces of the PMP and KAMP for the Brunovsky system of dimension 3 is presented