{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T15:10:06Z","timestamp":1764688206137},"reference-count":30,"publisher":"Elsevier BV","issue":"11","license":[{"start":{"date-parts":[[2001,11,1]],"date-time":"2001-11-01T00:00:00Z","timestamp":1004572800000},"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":[[2001,11]]},"DOI":"10.1016\/s0005-1098(01)00144-3","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T21:17:21Z","timestamp":1027631841000},"page":"1771-1778","source":"Crossref","is-referenced-by-count":52,"title":["Transfer equivalence and realization of nonlinear higher order input\u2013output difference equations"],"prefix":"10.1016","volume":"37","author":[{"given":"\u00dc.","family":"Kotta","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.S.I.","family":"Zinober","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0005-1098(01)00144-3_BIB1","doi-asserted-by":"crossref","first-page":"1999","DOI":"10.1137\/S0363012994267315","article-title":"Linearization of discrete-time systems","volume":"34","author":"Aranda-Bricaire","year":"1996","journal-title":"SIAM Journal of Control Optimization"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB2","unstructured":"Aranda-Bricaire, E., & Kotta, \u00dc. (1998). Equivalence of discrete-time nonlinear systems to prime systems. Journal of Mathematical Systems, Estimation, and Control, 8 (4) 471\u2013474 (Summary). Full manuscript published electronically, 12pp, 387 054 bytes. Retrieval code: 53142."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB3","unstructured":"Bartosiewicz, Z. (1995). On partially defined nonlinear realizations. Proceedings of the ECC\u201995, Rome (pp. 3435\u20133438)."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB4","unstructured":"Crouch, P. E., & Lamnabhi-Lagarrigue, F. (1988). State-space realizations of nonlinear systems defined by input\u2013output differential equations. Lecture Notes in Control and Information Science, Vol. 111 (pp. 138\u2013149). Berlin: Springer."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB5","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1080\/00207179508921576","article-title":"Some realization algorithms for nonlinear input\u2013output systems","volume":"62","author":"Crouch","year":"1995","journal-title":"International Journal of Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB6","first-page":"1","article-title":"Lowering the orders of derivatives of controls in generalized state space systems","volume":"5","author":"Delaleau","year":"1995","journal-title":"Journal of Mathematics Systems, Estimation and Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB7","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/BF02551378","article-title":"Elimination in control theory","volume":"4","author":"Diop","year":"1991","journal-title":"Mathematics Control Signals Systems"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB8","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1515\/form.1990.2.213","article-title":"Automatique en temps discret et alg\u00e8bre aux diff\u00e9rences","volume":"2","author":"Fliess","year":"1990","journal-title":"Forum Mathematics"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB9","doi-asserted-by":"crossref","first-page":"994","DOI":"10.1109\/9.58527","article-title":"Generalized controller canonical forms for linear and nonlinear dynamics","volume":"35","author":"Fliess","year":"1990","journal-title":"IEEE Transactions on Automatica Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB10","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1080\/00207179508921959","article-title":"Flatness and defect of non-linear systems: introductory theory and applications","volume":"61","author":"Fliess","year":"1995","journal-title":"International Journal of Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB11","doi-asserted-by":"crossref","first-page":"1026","DOI":"10.1137\/0331046","article-title":"A linear algebraic framework for the analysis of discrete-time nonlinear systems","volume":"31","author":"Grizzle","year":"1993","journal-title":"SIAM Journal of Control Optimization"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00207178408933254","article-title":"Nonlinear systems: stability and rationality","volume":"40","author":"Hammer","year":"1984","journal-title":"International Journal of Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB13","unstructured":"Jakubczyk, B. (1980) Invertible realizations of nonlinear discrete-time systems. Proceedings of the Conference Information Science and Systems (pp. 235\u2013239)."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB14","unstructured":"Keulers, M., Sepp, K., Breur, A., & Reyman, G. A. (1993). A simulation study of nonlinear structure identification of a fed batch bakers\u2019 yeast process. Proceedings of the American Control Conference, San Francisco (pp. 2256\u20132260)."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB15","unstructured":"Kotta, \u00dc., & Nurges, \u00dc. (1985). Identification of input-output bilinear systems. Proceedings of 9th IFAC World Congress. Oxford, Pergamon Press, Vol 2 (pp. 723\u2013727)."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB16","doi-asserted-by":"crossref","unstructured":"Kotta, \u00dc., Liu, P., & Zinober, A. S. I. (1997). State-space realization of input\u2013output nonlinear difference equations. Proceedings ECC\u201997, Paper no. 851 (CD-ROM). Brussels.","DOI":"10.23919\/ECC.1997.7082636"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB17","unstructured":"Kotta, \u00dc. (1998). Lowering the order of input shifts in the discrete-time generalized state equations. Proceedings IFAC Conference on System Structure and Control, Nantes (pp. 759\u2013764)."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB18","unstructured":"Kotta, \u00dc., & Sadegh, N. (2000). Two approaches for state space realization of NARMA models: Bridging the gap. In I. Troch, & F. Breitenecker (Eds.), Proceedings of the Third IMACS Conference \u201cMathmod\u201d, Vol. 1 (pp. 415\u2013419). Vienna: Vienna University of Technology."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB19","doi-asserted-by":"crossref","unstructured":"Kotta, \u00dc. (2000). Irreducibility conditions for nonlinear input\u2013output difference equations. Proceedings the 39th IEEE Conference on Decision and Control. Sydney (pp. 3404\u20133408).","DOI":"10.1109\/CDC.2000.912229"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB20","unstructured":"Liu, P., Moog, C. H., & Zheng, Y. F. (Submitted). Input\u2013output equivalence of nonlinear systems and their realizations."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB21","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1093\/imamci\/16.2.165","article-title":"Minimal equivalence of differential I\/O systems","volume":"16","author":"Lu","year":"1999","journal-title":"IMA Journal of Mathematics Control and Information"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB22","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0167-6911(84)90023-9","article-title":"On the realization of nonlinear discrete-time system","volume":"2","author":"Monaco","year":"1984","journal-title":"Systems and Control Letters"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB23","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.1080\/00207178708933845","article-title":"Finite Volterra series realizations and input\u2013output approximations of nonlinear discrete-time systems","volume":"47","author":"Monaco","year":"1987","journal-title":"International Journal of Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB24","first-page":"353","article-title":"Viewing input\u2013output system equivalence from differential algebra","volume":"4","author":"Rudolph","year":"1994","journal-title":"Journal of Mathematical Systems, Estimation, and Control"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB25","doi-asserted-by":"crossref","unstructured":"Sadegh, N. (1998). State realization of nonlinear systems described by input\u2013output difference equations. Proceedings of the American Control Conference, Philadelphia, Vol. 6 (pp. 3344\u20133348).","DOI":"10.1109\/ACC.1998.703194"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB26","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1137\/0317011","article-title":"On the observability of polynomial systems. I: Finite-time problems","volume":"17","author":"Sontag","year":"1979","journal-title":"SIAM Journal of Control and Optimization"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB27","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/BF01704916","article-title":"On realization of nonlinear systems described by higher-order differential equations","volume":"19","author":"Van der Schaft","year":"1987","journal-title":"Mathematics Systems Theory"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB28","unstructured":"Van der Schaft, A. J. (1989). Transformations of nonlinear systems under external equivalence. Lecture Notes in Control and Information Science, Vol. 122 (pp. 33\u201343). Berlin: Springer."},{"key":"10.1016\/S0005-1098(01)00144-3_BIB29","doi-asserted-by":"crossref","first-page":"1102","DOI":"10.1137\/S0363012993246828","article-title":"Orders of input\u2013output differential equations and state-space dimensions","volume":"33","author":"Wang","year":"1995","journal-title":"SIAM Journal of Control and Optimization"},{"key":"10.1016\/S0005-1098(01)00144-3_BIB30","unstructured":"Zheng, Y., Willems, J. C., & Zhang, C. (1997). Common factors and controllability of nonlinear systems. Proceedings of the 36th CDC, San Diego, California, USA (pp. 2584\u20132589)."}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109801001443?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109801001443?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,28]],"date-time":"2020-01-28T16:20:03Z","timestamp":1580228403000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109801001443"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,11]]},"references-count":30,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2001,11]]}},"alternative-id":["S0005109801001443"],"URL":"https:\/\/doi.org\/10.1016\/s0005-1098(01)00144-3","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[2001,11]]}}}