{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T19:42:41Z","timestamp":1773776561981,"version":"3.50.1"},"reference-count":27,"publisher":"Elsevier BV","issue":"10","license":[{"start":{"date-parts":[[2000,10,1]],"date-time":"2000-10-01T00:00:00Z","timestamp":970358400000},"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":[[2000,10]]},"DOI":"10.1016\/s0005-1098(00)00059-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T20:39:41Z","timestamp":1027629581000},"page":"1427-1442","source":"Crossref","is-referenced-by-count":9,"title":["Least-squares estimation of input\/output models for distributed linear systems in the presence of noise"],"prefix":"10.1016","volume":"36","author":[{"given":"J.S.","family":"Gibson","sequence":"first","affiliation":[]},{"given":"G.H.","family":"Lee","sequence":"additional","affiliation":[]},{"given":"C.-F.","family":"Wu","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0005-1098(00)00059-5_BIB1","series-title":"Applied functional analysis","author":"Balakrishnan","year":"1981"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB2","doi-asserted-by":"crossref","unstructured":"Bauer, D., Deistler, M., & Scherrer, W. (1998). User choices in subspace algorithms. In 37th IEEE conference on decision and control, Tampa, Florida, December.","DOI":"10.1109\/CDC.1998.760772"},{"issue":"1","key":"10.1016\/S0005-1098(00)00059-5_BIB3","doi-asserted-by":"crossref","first-page":"88","DOI":"10.2514\/3.20805","article-title":"Integrated system identification and state estimation for control of flexible space structures","volume":"15","author":"Chen","year":"1992","journal-title":"Journal of Guidance, Control, and Dynamics"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB4","series-title":"Infinite dimensional linear systems theory","author":"Curtain","year":"1978"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB5","doi-asserted-by":"crossref","first-page":"1865","DOI":"10.1016\/0005-1098(95)00089-6","article-title":"Consistency and relative efficiency of subspace methods","volume":"31","author":"Deistler","year":"1995","journal-title":"Automatica"},{"issue":"1","key":"10.1016\/S0005-1098(00)00059-5_BIB6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/0329001","article-title":"Approximation theory for LQG optimal control of flexible structures","volume":"29","author":"Gibson","year":"1991","journal-title":"SIAM Journal on Control and Optimization"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB7","doi-asserted-by":"crossref","unstructured":"Gibson, J.S., & Adamian, A. (1992). A comparison of three approximation schemes for optimal control of a flexible structure. In Banks, H.T. Control and estimation in distributed parameter systems. Philadelphia: SIAM.","DOI":"10.1137\/1.9781611970982.ch3"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB8","doi-asserted-by":"crossref","unstructured":"Gibson, J. S., & Rosen, I. G. (1987). Computational methods for optimal linear-quadratic compensators for infinite-dimensional discrete-time systems, In: Kappel, F., Kunisch, K., Schappacher, W., Distributed parameter systems, Lecture Notes in Control and Information Sciences, Heidelberg: Springer.","DOI":"10.1007\/BFb0041986"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB9","doi-asserted-by":"crossref","DOI":"10.1016\/0005-1098(88)90096-9","article-title":"Approximation of discrete-time LQG compensators for distributed systems with boundary input and unbounded measurement","author":"Gibson","year":"1988","journal-title":"Automatica"},{"issue":"2","key":"10.1016\/S0005-1098(00)00059-5_BIB10","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1137\/0326025","article-title":"Numerical approximation for the infinite-dimensional discrete-time optimal linear-quadratic regulator problem","volume":"26","author":"Gibson","year":"1988","journal-title":"SIAM Journal Control and Optimization"},{"issue":"2","key":"10.1016\/S0005-1098(00)00059-5_BIB11","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1137\/0314021","article-title":"Convergence and stability properties of the discrete Riccati operator equation and the associated optimal control and filtering problems","volume":"14","author":"Hager","year":"1976","journal-title":"SIAM Journal on Control and Optimization"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB12","series-title":"The statistical theory of linear systems","author":"Hannan","year":"1988"},{"issue":"12","key":"10.1016\/S0005-1098(00)00059-5_BIB13","doi-asserted-by":"crossref","first-page":"2831","DOI":"10.1109\/78.476427","article-title":"An unwindowed multichannel lattice filter with orthogonal channels","volume":"43","author":"Jiang","year":"1995","journal-title":"IEEE Transactions on Signal Processing"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB14","series-title":"Applied system identification","author":"Juang","year":"1994"},{"issue":"3","key":"10.1016\/S0005-1098(00)00059-5_BIB15","doi-asserted-by":"crossref","first-page":"294","DOI":"10.2514\/3.20106","article-title":"Effects of noises on modal parameters identified by the eigensystem realization algorithm","volume":"9","author":"Juang","year":"1986","journal-title":"Journal of Guidance Control and Dynamics"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB16","doi-asserted-by":"crossref","unstructured":"Juang, J.-N., Phan, M., Horta, L. G., & Longman, R. W. (1991). Identification of observer\/Kalman filter Markov parameters: Theory and experiments. In AIAA Guidance Navigation and Control Conference (pp. 1195\u20131207). New Orleans, LA, August, AIAA.","DOI":"10.2514\/6.1991-2735"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB17","series-title":"Perturbation theory for linear operators","author":"Kato","year":"1984"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB18","unstructured":"Kreyszig, E. (1989). Introductory functional analysis with applications. Wiley Classics Library. New York: Wiley."},{"key":"10.1016\/S0005-1098(00)00059-5_BIB19","series-title":"Linear optimal control systems","author":"Kwakernaak","year":"1991"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB20","unstructured":"Lee, G. H. (1994). Development and characterization of adaptive least-squares and minimax filters. Ph.D. thesis, University of California, Los Angeles."},{"key":"10.1016\/S0005-1098(00)00059-5_BIB21","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1137\/0310028","article-title":"On the control of discrete-time distributed parameter systems","volume":"10","author":"Lee","year":"1972","journal-title":"SIAM Journal on Control and Optimization"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB22","series-title":"System identification: Theory for the user","author":"Ljung","year":"1987"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB23","doi-asserted-by":"crossref","unstructured":"Ljung, L., & Wahlberg, B. (1992). Asymptotic properties of the least-squares method for estimating transfer functions and disturbance spectra. Advances in Applied Probability, 24, 412\u2013440.","DOI":"10.2307\/1427698"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB24","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0005-1098(94)90230-5","article-title":"N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems","volume":"30","author":"Van Overschee","year":"1994","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB25","series-title":"Subspace algorithms for system identification","author":"Van Overschee","year":"1996"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB26","series-title":"Adaptive signal processing","author":"Widrow","year":"1985"},{"key":"10.1016\/S0005-1098(00)00059-5_BIB27","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1137\/0312056","article-title":"Remarks on the control of discrete-time distributed parameter systems","volume":"12","author":"Zabczyk","year":"1974","journal-title":"SIAM Journal on Control and Optimization"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109800000595?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109800000595?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,21]],"date-time":"2019-04-21T06:24:21Z","timestamp":1555827861000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109800000595"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,10]]},"references-count":27,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2000,10]]}},"alternative-id":["S0005109800000595"],"URL":"https:\/\/doi.org\/10.1016\/s0005-1098(00)00059-5","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[2000,10]]}}}