{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T21:06:17Z","timestamp":1696626377863},"reference-count":17,"publisher":"Elsevier BV","issue":"10","license":[{"start":{"date-parts":[[2003,10,1]],"date-time":"2003-10-01T00:00:00Z","timestamp":1064966400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Automatica"],"published-print":{"date-parts":[[2003,10]]},"DOI":"10.1016\/s0005-1098(03)00175-4","type":"journal-article","created":{"date-parts":[[2003,6,30]],"date-time":"2003-06-30T12:44:57Z","timestamp":1056977097000},"page":"1809-1815","source":"Crossref","is-referenced-by-count":6,"title":["Variance analysis of L2 model reduction when undermodeling\u2014the output error case"],"prefix":"10.1016","volume":"39","author":[{"given":"Fredrik","family":"Tj\u00e4rnstr\u00f6m","sequence":"first","affiliation":[]}],"member":"78","reference":[{"issue":"3","key":"10.1016\/S0005-1098(03)00175-4_BIB1","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1080\/00207177308932403","article-title":"Approximations of discrete linear systems","volume":"17","author":"Aplevich","year":"1973","journal-title":"International Journal of Control"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB2","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/S0005-1098(98)00142-3","article-title":"Convergent algorithm for l2 model reduction","volume":"35","author":"Ferrante","year":"1999","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB3","series-title":"Identification: Least-squares methods","author":"Hsia","year":"1977"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB4","series-title":"System identification: Theory for the user","author":"Ljung","year":"1999"},{"issue":"12","key":"10.1016\/S0005-1098(03)00175-4_BIB5","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.1016\/0005-1098(95)00108-7","article-title":"Estimation of model quality","volume":"31","author":"Ninness","year":"1995","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB6","doi-asserted-by":"crossref","unstructured":"Porat, B. (1986). On the estimation of the parameters of vector gaussian processes from sample covariances. In Proceedings of the 25th conference on decision and control, Athens, Greece (pp. 2002\u20132005).","DOI":"10.1109\/CDC.1986.267387"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB7","doi-asserted-by":"crossref","unstructured":"Porat, B., & Friedlander, B. (1985). Asymptotic accuracy of ARMA parameter estimation methods based on sample covariances. In Preprints seventh IFAC symposium on identification and system parameter estimation, York, UK (pp. 963\u2013968).","DOI":"10.1016\/S1474-6670(17)60686-4"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB8","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0005-1098(91)90019-X","article-title":"An indirect prediction error method for system identification","volume":"27","author":"S\u00f6derstr\u00f6m","year":"1991","journal-title":"Automatica"},{"issue":"5","key":"10.1016\/S0005-1098(03)00175-4_BIB9","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1016\/0005-1098(92)90143-4","article-title":"A new algorithm for L2 optimal model reduction","volume":"28","author":"Spanos","year":"1992","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB10","unstructured":"Tj\u00e4rnstr\u00f6m, F. (2002). Variance expressions and model reduction in system identification. Ph.D. thesis 730, Department of Electrical Engineering, Link\u00f6pings Universitet, Link\u00f6ing, Sweden."},{"key":"10.1016\/S0005-1098(03)00175-4_BIB11","doi-asserted-by":"crossref","unstructured":"Tj\u00e4rnstr\u00f6m, F., & Ljung, L. (2001). Variance properties of a two-step ARX estimation procedure. In Proceedings of the European control conference, Porto, Portugal (pp. 1840\u20131845).","DOI":"10.23919\/ECC.2001.7076189"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB12","doi-asserted-by":"crossref","first-page":"1517","DOI":"10.1016\/S0005-1098(02)00066-3","article-title":"L2 model reduction and variance reduction","volume":"38","author":"Tj\u00e4rnstr\u00f6m","year":"2002","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB13","unstructured":"Wahlberg, B. (1987). On the identification and approximation of linear systems. Ph.D. thesis 163, Department of Electrical Engineering, Link\u00f6ping University."},{"issue":"1","key":"10.1016\/S0005-1098(03)00175-4_BIB14","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1080\/00207178908559628","article-title":"Model reduction of high-order estimated models","volume":"49","author":"Wahlberg","year":"1989","journal-title":"International Journal of Control"},{"issue":"6","key":"10.1016\/S0005-1098(03)00175-4_BIB15","first-page":"1161","article-title":"Optimum solution of model reduction problem","volume":"117","author":"Wilson","year":"1970","journal-title":"Proceedings IEE"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB16","series-title":"Matrix theory\u2014basic results and techniques","author":"Zhang","year":"1999"},{"key":"10.1016\/S0005-1098(03)00175-4_BIB17","series-title":"Identification of multivariable industrial processes for simulation, diagnosis and control","author":"Zhu","year":"1993"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109803001754?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109803001754?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,24]],"date-time":"2020-03-24T05:39:50Z","timestamp":1585028390000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109803001754"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,10]]},"references-count":17,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2003,10]]}},"alternative-id":["S0005109803001754"],"URL":"https:\/\/doi.org\/10.1016\/s0005-1098(03)00175-4","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[2003,10]]}}}