{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:28:01Z","timestamp":1787336881382,"version":"build-2736575974"},"reference-count":18,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>It is one of the basic facts of linear time-invariant systems theory that any two minimal (canonical) realizations are connected in the best possible way: by system similarity. We study five different types of possible connections between two arbitrary realizations of a transfer function, and are interested in questions of existence (sufficient and\/or necessary conditions), uniqueness, and description of all (or of a possibly large class of) connecting operators or pairs of operators. In the case of the existence of nonnegative realizations we seek nonnegative connecting pairs or operators.<\/jats:p>","DOI":"10.1137\/s0895479802410013","type":"journal-article","created":{"date-parts":[[2004,6,15]],"date-time":"2004-06-15T14:24:20Z","timestamp":1087309460000},"page":"1032-1045","source":"Crossref","is-referenced-by-count":0,"title":["Connections between Realizations of a Transfer Function"],"prefix":"10.1137","volume":"25","author":[{"given":"K. H.","family":"F\u00f6rster","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B.","family":"Nagy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(77)90090-1"},{"key":"R2","unstructured":"Christopher Byrnes, Norman Hurt, On the moduli of linear dynamical systems, Adv. in Math. Suppl. 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