{"title":"图上分布参数抛物型系统的可控性问题","authors":"S. Podvalny, V. Provotorov","doi":"10.1109/SCP.2015.7342064","DOIUrl":null,"url":null,"abstract":"In the paper a differential system is considered, which state is described by a parabolic initial boundary value problem with distributed parameters on a graph. Control action and observations occur simultaneously. The existence conditions of a unique control action and the controllability system are obtained.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"The questions of controllability of parabolic systems with distributed parameters on the graph\",\"authors\":\"S. Podvalny, V. Provotorov\",\"doi\":\"10.1109/SCP.2015.7342064\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the paper a differential system is considered, which state is described by a parabolic initial boundary value problem with distributed parameters on a graph. Control action and observations occur simultaneously. The existence conditions of a unique control action and the controllability system are obtained.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"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.2015.7342064\",\"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.2015.7342064","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The questions of controllability of parabolic systems with distributed parameters on the graph
In the paper a differential system is considered, which state is described by a parabolic initial boundary value problem with distributed parameters on a graph. Control action and observations occur simultaneously. The existence conditions of a unique control action and the controllability system are obtained.