{"title":"无界双线性系统的最优控制问题及其应用","authors":"Soufiane Yahyaoui, M. Ouzahra","doi":"10.1080/23307706.2023.2254300","DOIUrl":null,"url":null,"abstract":"In this paper, we will investigate the optimal control problem for unbounded bilinear systems, with ( p , q ) -admissible control operators. We will first study the case of finite time-horizon with unconstrained or constrained endpoint. This result is further applied to build the optimal control for infinite time horizon. Finally, we solve the bilinear optimal control for the transport equation. Then we consider the fractional diffusion equation, for which we prove the strong stabilisation by an optimal time-varying feedback control.","PeriodicalId":37267,"journal":{"name":"Journal of Control and Decision","volume":" ","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal control problem for unbounded bilinear systems and applications\",\"authors\":\"Soufiane Yahyaoui, M. Ouzahra\",\"doi\":\"10.1080/23307706.2023.2254300\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we will investigate the optimal control problem for unbounded bilinear systems, with ( p , q ) -admissible control operators. We will first study the case of finite time-horizon with unconstrained or constrained endpoint. This result is further applied to build the optimal control for infinite time horizon. Finally, we solve the bilinear optimal control for the transport equation. Then we consider the fractional diffusion equation, for which we prove the strong stabilisation by an optimal time-varying feedback control.\",\"PeriodicalId\":37267,\"journal\":{\"name\":\"Journal of Control and Decision\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2023-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Control and Decision\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1080/23307706.2023.2254300\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Control and Decision","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/23307706.2023.2254300","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Optimal control problem for unbounded bilinear systems and applications
In this paper, we will investigate the optimal control problem for unbounded bilinear systems, with ( p , q ) -admissible control operators. We will first study the case of finite time-horizon with unconstrained or constrained endpoint. This result is further applied to build the optimal control for infinite time horizon. Finally, we solve the bilinear optimal control for the transport equation. Then we consider the fractional diffusion equation, for which we prove the strong stabilisation by an optimal time-varying feedback control.
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