{"title":"奇异扰动优化跟踪问题","authors":"V. A. Sobolev","doi":"10.1134/s0012266124040116","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider a singularly perturbed optimal tracking problem with a given reference path\nin the case of incomplete information about the state vector in the presence of exogenous\ndisturbances. To analyze the differential equations that arise when solving this problem, we use\nthe decomposition method, which is based on the technique of integral manifolds of fast and slow\nmotions.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Singularly Perturbed Optimal Tracking Problem\",\"authors\":\"V. A. Sobolev\",\"doi\":\"10.1134/s0012266124040116\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> We consider a singularly perturbed optimal tracking problem with a given reference path\\nin the case of incomplete information about the state vector in the presence of exogenous\\ndisturbances. To analyze the differential equations that arise when solving this problem, we use\\nthe decomposition method, which is based on the technique of integral manifolds of fast and slow\\nmotions.\\n</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0012266124040116\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124040116","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider a singularly perturbed optimal tracking problem with a given reference path
in the case of incomplete information about the state vector in the presence of exogenous
disturbances. To analyze the differential equations that arise when solving this problem, we use
the decomposition method, which is based on the technique of integral manifolds of fast and slow
motions.
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