{"title":"受控系统可达性集的外部估计和构造","authors":"D.L. Kondrat'yev, A.V. Lotov","doi":"10.1016/0041-5553(90)90083-5","DOIUrl":null,"url":null,"abstract":"<div><p>A numerical method for constructing external estimates of attainability sets for non-linear controlled systems of ordinary differential equations is proposed. In some cases the method enables the attainability set itself to be approximated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 93-97"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90083-5","citationCount":"9","resultStr":"{\"title\":\"External estimates and construction of attainability sets for controlled systems\",\"authors\":\"D.L. Kondrat'yev, A.V. Lotov\",\"doi\":\"10.1016/0041-5553(90)90083-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A numerical method for constructing external estimates of attainability sets for non-linear controlled systems of ordinary differential equations is proposed. In some cases the method enables the attainability set itself to be approximated.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 2\",\"pages\":\"Pages 93-97\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90083-5\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0041555390900835\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0041555390900835","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
External estimates and construction of attainability sets for controlled systems
A numerical method for constructing external estimates of attainability sets for non-linear controlled systems of ordinary differential equations is proposed. In some cases the method enables the attainability set itself to be approximated.