{"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}
引用次数: 0
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.<>