{"title":"Singular regimes in certain classes of relaxed control problems","authors":"T. Carter","doi":"10.1109/CDC.1975.270642","DOIUrl":null,"url":null,"abstract":"We present new necessary conditions for a relaxed minimum in optimal control problems defined by certain classes of ordinary differential equations. These necessary conditions may be helpful in computing singular extremal arcs, in determining when these arcs are \"strictly relaxed\", and in defining regions of the state space that contain nonsingular extremal arcs only.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1975.270642","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We present new necessary conditions for a relaxed minimum in optimal control problems defined by certain classes of ordinary differential equations. These necessary conditions may be helpful in computing singular extremal arcs, in determining when these arcs are "strictly relaxed", and in defining regions of the state space that contain nonsingular extremal arcs only.
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