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Lyapunov stability analysis is performed for this new Kaczmarz algorithm and transient bounds for estimation error are established. Moreover, a new method for estimation of the variance of the measurement noise in Kaczmarz algorithms is also described. A comparison of a transient performance of modified Kaczmarz algorithm and a recursive least-squares algorithm is presented. The results are applied to a frequency domain identification of a DC motor.<\/jats:p>","DOI":"10.1177\/0959651811406344","type":"journal-article","created":{"date-parts":[[2011,9,9]],"date-time":"2011-09-09T23:11:18Z","timestamp":1315609878000},"page":"111-124","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["A new frequency domain system identification method"],"prefix":"10.1177","volume":"226","author":[{"given":"A A","family":"Stotsky","sequence":"first","affiliation":[{"name":"Signals and Systems, Chalmers University of Technology, Gothenburg SE-412 96, Sweden."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,9,9]]},"reference":[{"key":"bibr1-0959651811406344","doi-asserted-by":"publisher","DOI":"10.1002\/047134608X.W1046"},{"key":"bibr2-0959651811406344","volume-title":"Adaptive control","author":"Astrom K. 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