{"title":"参数系统的优化方法","authors":"V. Matvienko, V. V. Pichkur, D. Cherniy","doi":"10.17721/2706-9699.2021.1.20","DOIUrl":null,"url":null,"abstract":"The paper considers methods of parametric optimization of a dynamical system, which is described by a parametric system of differential equations. The gradient of the functional in the form of Boltz is found, which is the basis of methods such as gradient descent. Another method is based on the application of the sensitivity function.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"9 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"METHODS OF OPTIMIZATION OF PARAMETRIC SYSTEMS\",\"authors\":\"V. Matvienko, V. V. Pichkur, D. Cherniy\",\"doi\":\"10.17721/2706-9699.2021.1.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper considers methods of parametric optimization of a dynamical system, which is described by a parametric system of differential equations. The gradient of the functional in the form of Boltz is found, which is the basis of methods such as gradient descent. Another method is based on the application of the sensitivity function.\",\"PeriodicalId\":40347,\"journal\":{\"name\":\"Journal of Numerical and Applied Mathematics\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Numerical and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17721/2706-9699.2021.1.20\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/2706-9699.2021.1.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper considers methods of parametric optimization of a dynamical system, which is described by a parametric system of differential equations. The gradient of the functional in the form of Boltz is found, which is the basis of methods such as gradient descent. Another method is based on the application of the sensitivity function.
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