{"title":"四分之一平面因果二维模型的投入产出 \"基本定理","authors":"Paolo Rapisarda;Yueqing Zhang","doi":"10.1109/LCSYS.2024.3491863","DOIUrl":null,"url":null,"abstract":"If an input-output data trajectory generated by a 2D quarter-plane causal system is “sufficiently informative”, then any system trajectory restriction (an “unfolding”) is a finite linear combination of data unfoldings. We also design experiments to generically obtain sufficiently informative data.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2475-2480"},"PeriodicalIF":2.4000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Input-Output “Fundamental Lemma” for Quarter-Plane Causal 2-D Models\",\"authors\":\"Paolo Rapisarda;Yueqing Zhang\",\"doi\":\"10.1109/LCSYS.2024.3491863\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"If an input-output data trajectory generated by a 2D quarter-plane causal system is “sufficiently informative”, then any system trajectory restriction (an “unfolding”) is a finite linear combination of data unfoldings. We also design experiments to generically obtain sufficiently informative data.\",\"PeriodicalId\":37235,\"journal\":{\"name\":\"IEEE Control Systems Letters\",\"volume\":\"8 \",\"pages\":\"2475-2480\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Control Systems Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10742901/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10742901/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
An Input-Output “Fundamental Lemma” for Quarter-Plane Causal 2-D Models
If an input-output data trajectory generated by a 2D quarter-plane causal system is “sufficiently informative”, then any system trajectory restriction (an “unfolding”) is a finite linear combination of data unfoldings. We also design experiments to generically obtain sufficiently informative data.