{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T10:41:14Z","timestamp":1649068874144},"reference-count":38,"publisher":"Elsevier BV","issue":"12","license":[{"start":{"date-parts":[[2000,12,1]],"date-time":"2000-12-01T00:00:00Z","timestamp":975628800000},"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":[[2000,12]]},"DOI":"10.1016\/s0005-1098(00)00092-3","type":"journal-article","created":{"date-parts":[[2002,10,14]],"date-time":"2002-10-14T09:01:41Z","timestamp":1034586101000},"page":"1809-1818","source":"Crossref","is-referenced-by-count":7,"title":["Extended Ho\u2013Kalman algorithm for systems represented in generalized orthonormal bases"],"prefix":"10.1016","volume":"36","author":[{"given":"Zolt\u00e1n","family":"Szab\u00f3","sequence":"first","affiliation":[]},{"given":"Peter S.C.","family":"Heuberger","sequence":"additional","affiliation":[]},{"given":"J\u00f3zsef","family":"Bokor","sequence":"additional","affiliation":[]},{"given":"Paul M.J.Van","family":"den Hof","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0005-1098(00)00092-3_BIB1","doi-asserted-by":"crossref","unstructured":"Bokor, J. (1997). Approximate identification for robust control. Preprints robust control design 2nd IFAC symposium, Budapest, Hungary, pp. 25\u201336.","DOI":"10.1016\/S1474-6670(17)42576-6"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB2","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1109\/82.486458","article-title":"Optimality conditions for truncated Kautz series","volume":"43","author":"Den Brinker","year":"1996","journal-title":"IEEE Transactions on Circuits and Systems II"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB3","unstructured":"Fischer, B. (1997). Two topics in system identification. Licentiate thesis, control engineering group, Department of Computer Science and Electrical Engineering, Lulea University of Technology, Sweden."},{"key":"10.1016\/S0005-1098(00)00092-3_BIB4","series-title":"The commutant lifting approach to interpolation problems","author":"Frazho","year":"1990"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB5","doi-asserted-by":"crossref","first-page":"1516","DOI":"10.1109\/9.649691","article-title":"Identification of probabilistic uncertainty regions by explicit evaluation of bias and variance errors","volume":"42","author":"Hakvoort","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB6","unstructured":"Heuberger, P.S.C. (1991). On approximate system identification with system based orthonormal functions. Dr. dissertation, Delft University of Technology, The Netherlands, 1991."},{"key":"10.1016\/S0005-1098(00)00092-3_BIB7","doi-asserted-by":"crossref","unstructured":"Heuberger, P.S.C., & Bosgra, O.H. (1990). Approximate system identification using system based orthonormal functions. Proceedings of the 29th IEEE Conference in Decision and Control. Honolulu, HI (pp. 1086\u20131092).","DOI":"10.1109\/CDC.1990.203769"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB8","doi-asserted-by":"crossref","unstructured":"Heuberger, P.S.C., Szab\u00f3, Z., de Hoog, T.J., Van den Hof, P.M.J., & Bokor, J. (1999). Realization algorithms for expansions in generalized orthonormal basis functions. Proceedings 14th IFAC world congress, vol. H. Beijing, P.R. China (pp. 385\u2013390).","DOI":"10.1016\/S1474-6670(17)56708-7"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB9","first-page":"85","article-title":"The Hambo transform: a signal and system transform induced by generalized orthonormal basis functions","volume":"8","author":"Heuberger","year":"1995","journal-title":"Selected Topics in Identification Modelling and Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB10","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1109\/9.376057","article-title":"A generalized orthonormal basis for linear dynamical systems","volume":"40","author":"Heuberger","year":"1995","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"12","key":"10.1016\/S0005-1098(00)00092-3_BIB11","first-page":"545","article-title":"Effective construction of linear state-variable models from input\/output functions","volume":"14","author":"Ho","year":"1966","journal-title":"Regelungstechnik"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB12","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1109\/TCT.1954.1083588","article-title":"Transient synthesis in the time domain","volume":"CT-1","author":"Kautz","year":"1954","journal-title":"IRE Transactions on Circuit Theory"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB13","unstructured":"Kung, S. (1978). A new identification and model reduction algorithm via singular value decompositions. Proceedings 12th asilomar conference on circuits systems and computers. Pacific Grove, CA (pp. 705\u2013714)."},{"key":"10.1016\/S0005-1098(00)00092-3_BIB14","series-title":"Statistical theory of communication","author":"Lee","year":"1960"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB15","unstructured":"Malmquist, F. (1925). Sur la d\u00e9termination d'une classe de fonctions analytiques par leurs valeurs dans un ensemble donn\u00e9 de points. Comptes Rendus du Sixi\u00e9mme Congr\u00e9ss des math\u00e9maticiens scandinaves. Kopenhagen, Denmark (pp. 253\u2013259)."},{"key":"10.1016\/S0005-1098(00)00092-3_BIB16","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1109\/TAC.1981.1102568","article-title":"Principal component analysis in linear systems: controllability, observability and model reduction","volume":"26","author":"Moore","year":"1981","journal-title":"IEEE Transactions on Automataic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB17","unstructured":"Nalbantoglu, V., Bokor, J., & Balas, G. (1997). System identification with orthonormal basis functions: an application to flexible structures. Preprints of the 2nd IFAC symposium on robust control design. Budapest, Hungary (pp. 423\u2013428)."},{"key":"10.1016\/S0005-1098(00)00092-3_BIB18","unstructured":"Ninness, B., & G\u00f3mez, J.C. (1996). Asymptotic analysis of mimo system estimates by the use of orthonormal basis functions. Preprints 13th triennial IFAC world congress. San Francisco, CA (pp. 363\u2013368)."},{"key":"10.1016\/S0005-1098(00)00092-3_BIB19","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1109\/9.566661","article-title":"A unifying construction of orthonormal bases for system identification","volume":"42","author":"Ninness","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB20","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1109\/9.774110","article-title":"The fundamental role of general orthonormal bases in system identification","volume":"44","author":"Ninness","year":"1999","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB21","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1109\/9.341807","article-title":"Optimality conditions for truncated Kautz networks with two periodically repeating complex conjugate poles","volume":"40","author":"Oliveira e Silva","year":"1995","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB22","doi-asserted-by":"crossref","unstructured":"Oliveira e Silva, T. (1996). A N-width result for the generalized orthonormal basis function model. Preprints 13th triennial IFAC world congress. San Francisco, CA (pp. 375\u2013380).","DOI":"10.1016\/S1474-6670(17)58357-3"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB23","series-title":"Digital signal processing","author":"Roberts","year":"1987"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB24","series-title":"Hardy classes and operator theory","author":"Rosenblum","year":"1985"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB25","first-page":"179","article-title":"Generalized interpolation in H\u221e","volume":"127","author":"Sarason","year":"1967","journal-title":"Transactions of the American Mathematical Society"},{"issue":"4","key":"10.1016\/S0005-1098(00)00092-3_BIB26","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1016\/S0005-1098(97)00201-X","article-title":"Approximate identification in Laguerre and Kautz Bases","volume":"34","author":"Schipp","year":"1998","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB27","doi-asserted-by":"crossref","unstructured":"Schipp, F., Gianone, L., Bokor, J., & Szab\u00f3, Z. (1996). Identification in generalized orthogonal basis \u2014 a frequency domain approach. Preprints 13th triennial IFAC world congress. San Francisco, CA (pp. 387\u2013392).","DOI":"10.1016\/S1474-6670(17)58359-7"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB28","doi-asserted-by":"crossref","unstructured":"Szab\u00f3, Z., & Bokor, J. (1997). Minimal state space realization for transfer functions represented by coefficients using generalized orthonormal basis. Proceedings of 36th IEEE CDC. San Diego, CA (pp. 169\u2013175).","DOI":"10.1109\/CDC.1997.650609"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB29","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1109\/9.739108","article-title":"Identification of rational approximate models in H\u221e using generalized orthonormal basis","volume":"44","author":"Szab\u00f3","year":"1999","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB30","doi-asserted-by":"crossref","first-page":"1821","DOI":"10.1016\/0005-1098(95)00074-4","article-title":"System identification with generalized orthonormal basis functions","volume":"31","author":"Van den Hof","year":"1995","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB31","series-title":"Subspace identification for linear systems","author":"Van Overschee","year":"1996"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB32","doi-asserted-by":"crossref","first-page":"March 1998","DOI":"10.1109\/9.668831","article-title":"Frequency domain identification with generalized orthonormal basis functions","volume":"43","author":"De Vries","year":"1998","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB33","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1109\/9.76361","article-title":"System identification using Laguerre models","volume":"36","author":"Wahlberg","year":"1991","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB34","doi-asserted-by":"crossref","first-page":"1276","DOI":"10.1109\/9.293196","article-title":"System identification using Kautz models","volume":"39","author":"Wahlberg","year":"1994","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB35","doi-asserted-by":"crossref","unstructured":"Wahlberg, B. (1994b). Laguerre and Kautz models. Preprints 10th IFAC symposium system identification. Copenhagen, Denmark (pp. 1\u201312).","DOI":"10.1016\/S1474-6670(17)47834-7"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB36","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1016\/0005-1098(95)00198-0","article-title":"On approximation of stable linear dynamical systems using Laguerre and Kautz functions","volume":"32","author":"Wahlberg","year":"1996","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB37","doi-asserted-by":"crossref","unstructured":"Walsh, J. (1935). Interpolation and approximation by rational functions in the complex domain. New York: American Mathematical Society.","DOI":"10.1090\/coll\/020"},{"key":"10.1016\/S0005-1098(00)00092-3_BIB38","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1080\/00207179608921636","article-title":"Robust identification in the disc algebra using rational wavelets and orthonormal basis functions","volume":"64","author":"Ward","year":"1996","journal-title":"International Journal of Control"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109800000923?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109800000923?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T21:58:26Z","timestamp":1556229506000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109800000923"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,12]]},"references-count":38,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2000,12]]}},"alternative-id":["S0005109800000923"],"URL":"https:\/\/doi.org\/10.1016\/s0005-1098(00)00092-3","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[2000,12]]}}}