{"title":"具有有界控制的可容许控制问题的两个极值解","authors":"A. C. Rivero, Blanca de Jesus Gomez Orozco","doi":"10.1109/ICEEE.2015.7357925","DOIUrl":null,"url":null,"abstract":"Given the Brunovsky control system of dimension m for m ≥ 2, as well as an initial position x0 and a time T greater than the time optimal control tmin, we obtain two bangbang controls with exact m switchings for every m via orthogonal polynomials on [0; T].","PeriodicalId":6661,"journal":{"name":"2014 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","volume":"32 1","pages":"1-4"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On Two extremal solutions of the admissible control problem with bounded controls\",\"authors\":\"A. C. Rivero, Blanca de Jesus Gomez Orozco\",\"doi\":\"10.1109/ICEEE.2015.7357925\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given the Brunovsky control system of dimension m for m ≥ 2, as well as an initial position x0 and a time T greater than the time optimal control tmin, we obtain two bangbang controls with exact m switchings for every m via orthogonal polynomials on [0; T].\",\"PeriodicalId\":6661,\"journal\":{\"name\":\"2014 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"volume\":\"32 1\",\"pages\":\"1-4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEEE.2015.7357925\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2015.7357925","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Two extremal solutions of the admissible control problem with bounded controls
Given the Brunovsky control system of dimension m for m ≥ 2, as well as an initial position x0 and a time T greater than the time optimal control tmin, we obtain two bangbang controls with exact m switchings for every m via orthogonal polynomials on [0; T].