{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:19:47Z","timestamp":1787321987945,"version":"3.56.0"},"reference-count":17,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[1996,4]]},"abstract":"<jats:p>This paper describes the modification of the family of MOESP subspace algorithms when identifying mixed causal and anti-causal systems. It is assumed that these class of systems have a regular pencil $zE - A$, where E is possibly singular. The key numerical problem in solving this identification problem is the separation of the extended observability matrix of the causal part from that of the anti-causal part when a mixture of both is determined from the input\u2013output data. For the general mixed causal, anti-causal case, this requires a partial calculation of the Kronecker canonical form of the pencil $zE - A$, where the pair $[ A \\, E ]$ has been determined from the recorded input--output data. For the descriptor case, that is, when E is nilpotent, this problem is solved without computing the Kronecker canonical form.<\/jats:p>\n                  <jats:p>All existing members of the MOESP family applicable to causal, linear, time-invariant systems are generalized. This allows a broad scope of identification problems for mixed causal, anti-causal systems to be addressed.<\/jats:p>","DOI":"10.1137\/s0895479894262030","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T07:15:07Z","timestamp":1109488507000},"page":"332-347","source":"Crossref","is-referenced-by-count":22,"title":["A Subspace Model Identification Solution to the Identification of Mixed Causal, Anti-Causal LTI Systems"],"prefix":"10.1137","volume":"17","author":[{"given":"Michel","family":"Verhaegen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,2,17]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1977.1101502"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1981.1102763"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1080\/00207178508933435"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(92)90039-U"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01600184"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0044363"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1109\/10.184697"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1080\/00207179208934363"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1080\/00207179208934364"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1080\/00207179308923017"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(93)90104-2"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(94)90229-1"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1109\/9.402233"},{"key":"R14","doi-asserted-by":"crossref","unstructured":"W. S. Gray, E. I. Verriest, F. L. Lewis,  A Hankel approach to singular system realization theory,  Proc. 29th CDC, Honolulu, Hawaii,  1990,  73\u201378","DOI":"10.1109\/CDC.1990.203549"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1109\/9.29404"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0002475"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1109\/9.76361"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479894262030","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:16:53Z","timestamp":1787318213000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0895479894262030"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,4]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1996,4]]}},"alternative-id":["10.1137\/S0895479894262030"],"URL":"https:\/\/doi.org\/10.1137\/s0895479894262030","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,4]]}}}