{"title":"具有图上分布参数的时滞抛物型系统的边界控制","authors":"V. Provotorov","doi":"10.1109/SCP.2015.7342067","DOIUrl":null,"url":null,"abstract":"The optimal boundary control problem for a differential system with delay and distributed parameters on the graph is considered. The spaces of integrable functions are used as state-space systems and the space of boundary control and observation. The conditions of the unique solvability of the problem of optimal control are obtained.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Boundary control of a parabolic system with delay and distributed parameters on the graph\",\"authors\":\"V. Provotorov\",\"doi\":\"10.1109/SCP.2015.7342067\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The optimal boundary control problem for a differential system with delay and distributed parameters on the graph is considered. The spaces of integrable functions are used as state-space systems and the space of boundary control and observation. The conditions of the unique solvability of the problem of optimal control are obtained.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"78 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342067\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342067","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundary control of a parabolic system with delay and distributed parameters on the graph
The optimal boundary control problem for a differential system with delay and distributed parameters on the graph is considered. The spaces of integrable functions are used as state-space systems and the space of boundary control and observation. The conditions of the unique solvability of the problem of optimal control are obtained.