{"id":{"repo_id":"lund","oai_identifier":"oai:lup.lub.lu.se:3ede2f2d-e076-4ff3-af4c-0daaf68a91dd"},"canonical_url":"https://search.dev.ndltd.org/etd/lund/oai:lup.lub.lu.se:3ede2f2d-e076-4ff3-af4c-0daaf68a91dd","repository":{"repo_id":"lund","name":"University of Lund","base_url":"https://lup.lub.lu.se/oai"},"display":{"title":"Linear Control and Estimation Using Operator Factorization","abstract":"The filtering, prediction and smoothing problems as well as the linear quadratic control problems can very generally be formulated as operator equations using basic linear algebra. The equations are of Fredholm type II and difficult to solve directly. It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. Recursive solution of these triangular operator equations is then obtained by two initialvalue differential equations.","abstract_html":"The filtering, prediction and smoothing problems as well as the linear quadratic control problems can very generally be formulated as operator equations using basic linear algebra. The equations are of Fredholm type II and difficult to solve directly. It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. 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The equations are of Fredholm type II and difficult to solve directly. It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. Recursive solution of these triangular operator equations is then obtained by two initialvalue differential equations."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:source","label":"Dc Source","values":["Research Reports TFRT-3036; (1971)","ISSN: 0346-5500"]},{"key":"dc:title","label":"Title","values":["Linear Control and Estimation Using Operator Factorization"]}]}],"canonical_facts":{"dc:creator":["Hagander, Per"],"dc:date":["1971"],"dc:description":["The filtering, prediction and smoothing problems as well as the linear quadratic control problems can very generally be formulated as operator equations using basic linear algebra. The equations are of Fredholm type II and difficult to solve directly. It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. Recursive solution of these triangular operator equations is then obtained by two initialvalue differential equations."],"dc:format":["application/pdf"],"dc:identifier":["https://lup.lub.lu.se/record/8523848","https://portal.research.lu.se/files/4630484/8572866.pdf"],"dc:language":["eng"],"dc:publisher":["Department of Automatic Control, Lund Institute of Technology (LTH)"],"dc:rights":["info:eu-repo/semantics/openAccess"],"dc:source":["Research Reports TFRT-3036; (1971)","ISSN: 0346-5500"],"dc:subject":["Control Engineering"],"dc:title":["Linear Control and Estimation Using Operator Factorization"],"dc:type":["thesis/licentiatethesis","info:eu-repo/semantics/other","text"]},"updated_at":"2026-07-24T03:00:02Z"}