{"title":"具有控制变量延迟的随机最优控制问题的表示方法","authors":"Cristina Di Girolami, Mauro Rosestolato","doi":"10.1007/s10203-024-00465-x","DOIUrl":null,"url":null,"abstract":"<p>In this manuscript we provide a representation in infinite dimension for stochastic optimal control problems with delay in the control variable. The main novelty consists in the fact that the representation can be applied also to dynamics where the delay in the control appears as a nonlinear term and in the diffusion coefficient. We then apply the representation to a LQ case where an explicit solution can be found.\n</p>","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"146 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Representation of stochastic optimal control problems with delay in the control variable\",\"authors\":\"Cristina Di Girolami, Mauro Rosestolato\",\"doi\":\"10.1007/s10203-024-00465-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this manuscript we provide a representation in infinite dimension for stochastic optimal control problems with delay in the control variable. The main novelty consists in the fact that the representation can be applied also to dynamics where the delay in the control appears as a nonlinear term and in the diffusion coefficient. We then apply the representation to a LQ case where an explicit solution can be found.\\n</p>\",\"PeriodicalId\":43711,\"journal\":{\"name\":\"Decisions in Economics and Finance\",\"volume\":\"146 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Decisions in Economics and Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s10203-024-00465-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"SOCIAL SCIENCES, MATHEMATICAL METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Decisions in Economics and Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s10203-024-00465-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"SOCIAL SCIENCES, MATHEMATICAL METHODS","Score":null,"Total":0}
Representation of stochastic optimal control problems with delay in the control variable
In this manuscript we provide a representation in infinite dimension for stochastic optimal control problems with delay in the control variable. The main novelty consists in the fact that the representation can be applied also to dynamics where the delay in the control appears as a nonlinear term and in the diffusion coefficient. We then apply the representation to a LQ case where an explicit solution can be found.
期刊介绍：
Decisions in Economics and Finance: A Journal of Applied Mathematics is the official publication of the Association for Mathematics Applied to Social and Economic Sciences (AMASES). It provides a specialised forum for the publication of research in all areas of mathematics as applied to economics, finance, insurance, management and social sciences. Primary emphasis is placed on original research concerning topics in mathematics or computational techniques which are explicitly motivated by or contribute to the analysis of economic or financial problems.
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