{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T11:10:46Z","timestamp":1769512246155,"version":"3.49.0"},"reference-count":42,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[1987,11,1]],"date-time":"1987-11-01T00:00:00Z","timestamp":562723200000},"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":[[1987,11]]},"DOI":"10.1016\/0005-1098(87)90027-6","type":"journal-article","created":{"date-parts":[[2003,3,14]],"date-time":"2003-03-14T13:27:27Z","timestamp":1047648447000},"page":"707-718","source":"Crossref","is-referenced-by-count":13,"title":["Direct and indirect least squares methods in continuous-time parameter estimation"],"prefix":"10.1016","volume":"23","author":[{"given":"S.","family":"Vajda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Valk\u00f3","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.R.","family":"Godfrey","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0005-1098(87)90027-6_BIB1","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0005-1098(71)90059-8","article-title":"System identification\u2014a survey","volume":"7","author":"\u00c5str\u00f6m","year":"1971","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(87)90027-6_BIB2","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1137\/0707011","article-title":"Comparison of gradient methods for the solution of nonlinear parameter estimation problems","volume":"7","author":"Bard","year":"1970","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/0005-1098(87)90027-6_BIB3","author":"Bard","year":"1974"},{"key":"10.1016\/0005-1098(87)90027-6_BIB4","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1080\/00401706.1985.10488070","article-title":"Multiresponse estimation with special application to linear systems of differential equations","volume":"27","author":"Bates","year":"1985","journal-title":"Technometrics"},{"key":"10.1016\/0005-1098(87)90027-6_BIB5","series-title":"7th IFAC\/IFORS Symp.","first-page":"45","article-title":"Identification of endocrine-metabolic and pharmacokinetic systems","volume":"Vol. 1","author":"Cobelli","year":"1985"},{"key":"10.1016\/0005-1098(87)90027-6_BIB6","year":"1981"},{"key":"10.1016\/0005-1098(87)90027-6_BIB7","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1016\/0021-9991(72)90020-4","article-title":"Stiff systems of kinetic equations\u2014a practitioner's view","volume":"9","author":"Gelinas","year":"1972","journal-title":"J. Comput. Phys."},{"key":"10.1016\/0005-1098(87)90027-6_BIB8","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1080\/00207178408933322","article-title":"Structural identification of linear multivariable systems using overlapping forms: a new parametrization","volume":"40","author":"Gevers","year":"1984","journal-title":"Int. J. Control"},{"key":"10.1016\/0005-1098(87)90027-6_BIB9","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01059278","article-title":"On the identification of Michaelis-Menten elimination parameters from a single dose-response curve","volume":"12","author":"Godfrey","year":"1984","journal-title":"J. Pharmocokin. Biopharm."},{"key":"10.1016\/0005-1098(87)90027-6_BIB10","author":"Goodwin","year":"1977"},{"key":"10.1016\/0005-1098(87)90027-6_BIB11","author":"Hamming","year":"1962"},{"key":"10.1016\/0005-1098(87)90027-6_BIB12","author":"Himmelblau","year":"1970"},{"key":"10.1016\/0005-1098(87)90027-6_BIB13","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1021\/i160024a008","article-title":"Determination of rate constants for complex kinetic models","volume":"6","author":"Himmelblau","year":"1967","journal-title":"Ind. Eng. Chem. Fund."},{"key":"10.1016\/0005-1098(87)90027-6_BIB14","first-page":"219","article-title":"Developments in linear regression methodology: 1959\u20131982","volume":"25","author":"Hocking","year":"1983","journal-title":"Technometrics"},{"key":"10.1016\/0005-1098(87)90027-6_BIB15","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1080\/00401706.1970.10488634","article-title":"Ridge regression: biased estimation for non-orthogonal problems","volume":"12","author":"Hoerl","year":"1970","journal-title":"Technometrics"},{"key":"10.1016\/0005-1098(87)90027-6_BIB16","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/0005-1098(82)90107-8","article-title":"Procedures for parameter and state estimation of microbial growth process models","volume":"18","author":"Holmberg","year":"1982","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(87)90027-6_BIB17","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/0098-1354(79)80022-8","article-title":"A comparative study of short cut procedures for parameter estimation in differential equations","volume":"3","author":"Hosten","year":"1979","journal-title":"Comput. Chem. Engng."},{"key":"10.1016\/0005-1098(87)90027-6_BIB18","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1214\/aoms\/1177697731","article-title":"Asymptotic properties of non-linear least squares estimators","volume":"40","author":"Jennrich","year":"1969","journal-title":"Ann. Math. Statist"},{"key":"10.1016\/0005-1098(87)90027-6_BIB19","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1080\/00401706.1968.10490535","article-title":"Application of stepwise regression to non-linear estimation","volume":"10","author":"Jennrich","year":"1968","journal-title":"Technometrics"},{"key":"10.1016\/0005-1098(87)90027-6_BIB20","first-page":"18","article-title":"Plant identification in the presence of disturbances and application to digital adaptive systems","volume":"80","author":"Joseph","year":"1961","journal-title":"AIEE Trans. App. Ind."},{"key":"10.1016\/0005-1098(87)90027-6_BIB21","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0301-4622(83)85001-7","article-title":"Simplifying principles for chemical and enzyme reaction kinetics","volume":"18","author":"Klonowski","year":"1983","journal-title":"Biophys. Chem."},{"key":"10.1016\/0005-1098(87)90027-6_BIB22","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1109\/TAC.1965.1098172","article-title":"More about process identification","volume":"AC-10","author":"Loeb","year":"1965","journal-title":"IEEE Trans. Aut. Control"},{"key":"10.1016\/0005-1098(87)90027-6_BIB23","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1109\/TAC.1979.1102175","article-title":"Optimal nonuniform sampling interval and test-input design for identification of physiological systems from very limited data","volume":"AC-24","author":"Mori","year":"1979","journal-title":"IEEE Trans. Aut. Control"},{"key":"10.1016\/0005-1098(87)90027-6_BIB24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/1022001","article-title":"Some recent approaches to solving large residual nonlinear least squares problems","volume":"22","author":"Nazareth","year":"1980","journal-title":"SIAM Rev."},{"key":"10.1016\/0005-1098(87)90027-6_BIB25","doi-asserted-by":"crossref","first-page":"1831","DOI":"10.1002\/bit.260191208","article-title":"Practical identifiability of growth and substrate consumption models","volume":"19","author":"Nihtil\u00e4","year":"1977","journal-title":"Biotech. Bioengng"},{"key":"10.1016\/0005-1098(87)90027-6_BIB26","series-title":"7th IFAC\/IFORS Symp.","first-page":"1575","article-title":"Identification of continuous-time systems from sampled data: a comparison of 3 direct methods","volume":"Vol. 1","author":"Sinha","year":"1985"},{"key":"10.1016\/0005-1098(87)90027-6_BIB27","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/0005-1098(81)90087-X","article-title":"Comparison of some instrumental variable methods\u2014consistency and accuracy aspects","volume":"17","author":"S\u00f6derstr\u00f6m","year":"1981","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(87)90027-6_BIB28","author":"S\u00f6derstr\u00f6m","year":"1983"},{"key":"10.1016\/0005-1098(87)90027-6_BIB29","author":"Sorenson","year":"1980"},{"key":"10.1016\/0005-1098(87)90027-6_BIB30","doi-asserted-by":"crossref","first-page":"1429","DOI":"10.1080\/0020718508961207","article-title":"On the convergence of pseudo-linear regression algorithms","volume":"41","author":"Stoica","year":"1985","journal-title":"Int. J. Control"},{"key":"10.1016\/0005-1098(87)90027-6_BIB31","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1016\/0005-1098(80)90077-1","article-title":"Least squares parameter estimation","volume":"16","author":"Strejc","year":"1980","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(87)90027-6_BIB32","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0025-5564(80)90063-2","article-title":"Mathematical properties of compartment models with Michaelis-Menten type elimination","volume":"48","author":"Tong","year":"1980","journal-title":"Math. Biosci."},{"key":"10.1016\/0005-1098(87)90027-6_BIB33","article-title":"Test problems from the pharmacokinetic literature requiring fitting models defined by differential equations","author":"Uno","year":"1979"},{"key":"10.1016\/0005-1098(87)90027-6_BIB34","series-title":"7th IFAC\/IFORS Symp.","first-page":"537","article-title":"Identifiability of polynomial and rational systems: structural and numerical aspects","volume":"Vol. 1","author":"Vajda","year":"1985"},{"key":"10.1016\/0005-1098(87)90027-6_BIB35","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1002\/kin.550170107","article-title":"Principal component analysis of kinetic models","volume":"17","author":"Vajda","year":"1985","journal-title":"Int. J. Chem. Kinet."},{"key":"10.1016\/0005-1098(87)90027-6_BIB36","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0098-1354(86)85045-1","article-title":"A direct-indirect procedure for estimating kinetic parameters","volume":"10","author":"Vajda","year":"1986","journal-title":"Comput. Chem. Engng."},{"key":"10.1016\/0005-1098(87)90027-6_BIB37","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1109\/TAC.1967.1098734","article-title":"Identification of linear discrete time systems using the instrumental variable approach","volume":"AC-12","author":"Wong","year":"1967","journal-title":"IEEE Trans. Aut. Control"},{"key":"10.1016\/0005-1098(87)90027-6_BIB38","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF02061285","article-title":"Diffusion kinetics of selective hydrogenation of fatty oils in a stationary catalyst bed reactor","volume":"14","author":"Yermakova","year":"1980","journal-title":"Reactor Kinet. Catal. Lett."},{"key":"10.1016\/0005-1098(87)90027-6_BIB39","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/0166-9834(82)80197-8","article-title":"Direct integral method via spline approximation for estimating rate constants","volume":"2","author":"Yermakova","year":"1982","journal-title":"Appl. Catal."},{"key":"10.1016\/0005-1098(87)90027-6_BIB40","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/0005-1098(70)90098-1","article-title":"An instrumental variable method for real time identification of a noisy process","volume":"6","author":"Young","year":"1970","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(87)90027-6_BIB41","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0005-1098(81)90082-0","article-title":"Parameter estimation for continuous-time models\u2014a survey","volume":"17","author":"Young","year":"1981","journal-title":"Automatica"},{"key":"10.1016\/0005-1098(87)90027-6_BIB42","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1080\/00207178008961080","article-title":"Refined instrumental variable methods of recursive time-series analysis, Part III. Extensions","volume":"31","author":"Young","year":"1980","journal-title":"Int. J. Control"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109887900276?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109887900276?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T23:52:03Z","timestamp":1553644323000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0005109887900276"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,11]]},"references-count":42,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1987,11]]}},"alternative-id":["0005109887900276"],"URL":"https:\/\/doi.org\/10.1016\/0005-1098(87)90027-6","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[1987,11]]}}}