{"title":"最优控制问题的等价性及参数化方法的应用","authors":"John E. Dzielski","doi":"10.1109/CDC.1990.204038","DOIUrl":null,"url":null,"abstract":"A notion of equivalence for optimal control synthesis problems is defined and partially characterized. If the dynamical constraint satisfies certain well-known conditions, a solution can be obtained by solving a related problem involving a linear constraint. The linearity can be exploited when using functional approximation techniques to obtain a solution. A class of interpolating polynomials is suggested that possess certain characteristics that make them useful when solving the equivalent problem by one of the mathematical programming methodologies.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"300 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Equivalence of optimal control problems and the use of parameterization methods\",\"authors\":\"John E. Dzielski\",\"doi\":\"10.1109/CDC.1990.204038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A notion of equivalence for optimal control synthesis problems is defined and partially characterized. If the dynamical constraint satisfies certain well-known conditions, a solution can be obtained by solving a related problem involving a linear constraint. The linearity can be exploited when using functional approximation techniques to obtain a solution. A class of interpolating polynomials is suggested that possess certain characteristics that make them useful when solving the equivalent problem by one of the mathematical programming methodologies.<<ETX>>\",\"PeriodicalId\":287089,\"journal\":{\"name\":\"29th IEEE Conference on Decision and Control\",\"volume\":\"300 2\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"29th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1990.204038\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"29th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1990.204038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Equivalence of optimal control problems and the use of parameterization methods
A notion of equivalence for optimal control synthesis problems is defined and partially characterized. If the dynamical constraint satisfies certain well-known conditions, a solution can be obtained by solving a related problem involving a linear constraint. The linearity can be exploited when using functional approximation techniques to obtain a solution. A class of interpolating polynomials is suggested that possess certain characteristics that make them useful when solving the equivalent problem by one of the mathematical programming methodologies.<>
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