{"title":"正交状态空间分解及其在并行滤波中的应用","authors":"I. Rhodes, R.A. Luenberger","doi":"10.1109/CDC.1989.70641","DOIUrl":null,"url":null,"abstract":"A necessary and sufficient condition is given for the state space to be decomposable into a direct sum of mutually orthogonal observability subspaces. Such a decomposition has important consequences for the numerical conditioning of the basis changes that are involved in the implementation of an observer or Kalman filter as a collection of parallel subsystems.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Orthogonal state space decompositions with application to parallel filtering\",\"authors\":\"I. Rhodes, R.A. Luenberger\",\"doi\":\"10.1109/CDC.1989.70641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A necessary and sufficient condition is given for the state space to be decomposable into a direct sum of mutually orthogonal observability subspaces. Such a decomposition has important consequences for the numerical conditioning of the basis changes that are involved in the implementation of an observer or Kalman filter as a collection of parallel subsystems.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70641\",\"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 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Orthogonal state space decompositions with application to parallel filtering
A necessary and sufficient condition is given for the state space to be decomposable into a direct sum of mutually orthogonal observability subspaces. Such a decomposition has important consequences for the numerical conditioning of the basis changes that are involved in the implementation of an observer or Kalman filter as a collection of parallel subsystems.<>