{"title":"终端状态受限的脉冲开关混合系统最小原理研究","authors":"R. Gao","doi":"10.1109/ICIEA.2015.7334418","DOIUrl":null,"url":null,"abstract":"The optimal control problem is studied for a class of hybrid dynamical systems (HDS), namely, hybrid impulsive and switching systems (HISS). Then the minimum principle of HISS is given, and then is proved by needle-shaped variational method and matrix-structured cost functional. Based on this main result, a class of linear HISS is illustrated and the optimal control algorithm is given. Moreover, the cases of pure impulsive systems and pure switched systems are discussed in this paper.","PeriodicalId":270660,"journal":{"name":"2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA)","volume":"61 7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Study on the minimum principle of hybrid impulsive and switching systems with restricted terminal states\",\"authors\":\"R. Gao\",\"doi\":\"10.1109/ICIEA.2015.7334418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The optimal control problem is studied for a class of hybrid dynamical systems (HDS), namely, hybrid impulsive and switching systems (HISS). Then the minimum principle of HISS is given, and then is proved by needle-shaped variational method and matrix-structured cost functional. Based on this main result, a class of linear HISS is illustrated and the optimal control algorithm is given. Moreover, the cases of pure impulsive systems and pure switched systems are discussed in this paper.\",\"PeriodicalId\":270660,\"journal\":{\"name\":\"2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA)\",\"volume\":\"61 7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIEA.2015.7334418\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIEA.2015.7334418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Study on the minimum principle of hybrid impulsive and switching systems with restricted terminal states
The optimal control problem is studied for a class of hybrid dynamical systems (HDS), namely, hybrid impulsive and switching systems (HISS). Then the minimum principle of HISS is given, and then is proved by needle-shaped variational method and matrix-structured cost functional. Based on this main result, a class of linear HISS is illustrated and the optimal control algorithm is given. Moreover, the cases of pure impulsive systems and pure switched systems are discussed in this paper.
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