{"title":"轨迹附近非线性DAEs可观测性的计算线性化原理","authors":"W. J. Terrell","doi":"10.1109/ACC.1998.703087","DOIUrl":null,"url":null,"abstract":"We establish a result on local observability of nonlinear implicit differential systems near a reference trajectory. Observability of the time varying linearization along the trajectory implies local observability for the full system in a neighborhood of the trajectory. The conditions for local observability are verifiable by symbolic and numerical linear algebra, and provide a link with existing results on observability for implicit systems.","PeriodicalId":364267,"journal":{"name":"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)","volume":"63 6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A computational linearization principle for observability of nonlinear DAEs near a trajectory\",\"authors\":\"W. J. Terrell\",\"doi\":\"10.1109/ACC.1998.703087\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish a result on local observability of nonlinear implicit differential systems near a reference trajectory. Observability of the time varying linearization along the trajectory implies local observability for the full system in a neighborhood of the trajectory. The conditions for local observability are verifiable by symbolic and numerical linear algebra, and provide a link with existing results on observability for implicit systems.\",\"PeriodicalId\":364267,\"journal\":{\"name\":\"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)\",\"volume\":\"63 6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1998.703087\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1998.703087","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A computational linearization principle for observability of nonlinear DAEs near a trajectory
We establish a result on local observability of nonlinear implicit differential systems near a reference trajectory. Observability of the time varying linearization along the trajectory implies local observability for the full system in a neighborhood of the trajectory. The conditions for local observability are verifiable by symbolic and numerical linear algebra, and provide a link with existing results on observability for implicit systems.