{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T08:17:17Z","timestamp":1769847437093,"version":"3.49.0"},"reference-count":23,"publisher":"Elsevier BV","issue":"11","license":[{"start":{"date-parts":[[2003,11,1]],"date-time":"2003-11-01T00:00:00Z","timestamp":1067644800000},"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":["Signal Processing"],"published-print":{"date-parts":[[2003,11]]},"DOI":"10.1016\/s0165-1684(03)00185-3","type":"journal-article","created":{"date-parts":[[2003,9,12]],"date-time":"2003-09-12T07:48:17Z","timestamp":1063352897000},"page":"2319-2333","source":"Crossref","is-referenced-by-count":103,"title":["A method for modelling and simulation of fractional systems"],"prefix":"10.1016","volume":"83","author":[{"given":"T.","family":"Poinot","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.-C.","family":"Trigeassou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0165-1684(03)00185-3_BIB1","unstructured":"J.L. Battaglia, M\u00e9thodes d'identification de mod\u00e8les \u00e0 d\u00e9riv\u00e9es d'ordres non entiers et de r\u00e9duction modale. Application \u00e0 la r\u00e9solution de probl\u00e8mes thermiques inverses dans des syst\u00e8mes industriels, Habilitation \u00e0 Diriger des Recherches, Universit\u00e9 de Bordeaux I, 2002."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB2","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1214\/ss\/1177011122","article-title":"Statistical methods for data with long-range dependance","volume":"7","author":"Beran","year":"1992","journal-title":"Stat. Sci."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB3","unstructured":"Y.Q. Chen, K.L. Moore, Discretization schemes for fractional differentiators and integrators, IEEE Trans. Circuits System 1: Fundamental Theory Appl. 49 (3) (2002) 363\u2013367."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB4","unstructured":"O. Cois, Syst\u00e8mes lin\u00e9aires non entiers et identification par mod\u00e8le non entier: application en thermique, Th\u00e8se de Doctorat, Universit\u00e9 de Bordeaux I, 2002."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB5","unstructured":"M. Fliess, R. Hotzel, Linear systems with a derivation of non integer order: introductory theory with an example, Proceedings CESA\u201996 Symposium on Models, Analysis and Simulation, Vol. 1, France, 1996, pp. 213\u2013217."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB6","doi-asserted-by":"crossref","unstructured":"D. Heleschewitz, D. Matignon, Diffusive realisations of fractional integrodifferential operators: structural analysis under approximation, Proceedings IFAC Conference System, Structure and Control, Vol. 2, Nantes, France, 1998, pp. 243\u2013248.","DOI":"10.1016\/S1474-6670(17)41996-3"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB7","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/S0022-0728(71)80115-8","article-title":"An analog simulation of non integer order transfer functions for analysis of electrode processes","volume":"33","author":"Ichise","year":"1971","journal-title":"J. Electroanal. Chem. Interfacial Electrochem."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB8","doi-asserted-by":"crossref","unstructured":"L. Le Lay, A. Oustaloup, J.-C. Trigeassou, F. Levron, Frequency identification by non integer model, Proceedings IFAC Conference System, Structure and Control, Nantes, France, 1998, pp. 297\u2013302.","DOI":"10.1016\/S1474-6670(17)42005-2"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB9","unstructured":"L. Le Lay, A. Oustaloup, J.-C. Trigeassou, F. Levron, Frequency identification by implicit differentiation models, Proceedings AVCS\u201998 International Conference on Advance in Vehicle Control and Safety, Amiens, France, 1998, 351\u2013356."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB10","unstructured":"J. Lin, Mod\u00e9lisation et identification de syst\u00e8mes d'ordre non entier, Th\u00e8se de Doctorat, Universit\u00e9 de Poitiers, 2001."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB11","unstructured":"J. Lin, T. Poinot, Mod\u00e9lisation de syst\u00e8mes d'ordre non entier, JDA\u201999 Journ\u00e9es Doctorales d'Automatique, Nancy, France, 1999, pp. 53\u201356."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB12","doi-asserted-by":"crossref","unstructured":"J. Lin, T. Poinot, J.C. Trigeassou, P. Coirault, Parameter estimation of fractional systems. Application to heat transfer, ECC 2001, European Control Conference, Porto, Portugal, 2001, pp. 2644\u20132649.","DOI":"10.23919\/ECC.2001.7076328"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB13","unstructured":"J. Lin, T. Poinot, J.C. Trigeassou, H. Kabbaj, J. Faucher, Mod\u00e9lisation et identification d'ordre non entier d'une machine asynchrone, CIFA\u20192000, Conf\u00e9rence Internationale Francophone d'Automatique, Lille, France, 2000."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB14","doi-asserted-by":"crossref","unstructured":"J. Lin, T. Poinot, J.C. Trigeassou, R. Ouvrard, Parameter estimation of fractional systems: application to the modeling of a lead-acid battery, SYSID 2000, 12th IFAC Symposium on System Identification, USA, 2000.","DOI":"10.1016\/S1474-6670(17)39881-6"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB15","article-title":"Viscothermal losses in wind instrument: a non integer model","volume":"Vol. 2","author":"Matignon","year":"1994"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB16","series-title":"An Introduction to the Fractional Calculus and Fractional Differential Equations","author":"Miller","year":"1993"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB17","doi-asserted-by":"crossref","unstructured":"G. Montseny, Diffusive representation of pseudo-differential time-operators, Proceedings Fractional Differential Systems: Models, Methods and Applications, Paris, 1998.","DOI":"10.1051\/proc:1998005"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB18","series-title":"Syst\u00e8mes asservis lin\u00e9aires d'ordre fractionnaire","author":"Oustaloup","year":"1983"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB19","unstructured":"A. Oustaloup, La d\u00e9rivation non enti\u00e8re: th\u00e9orie, synth\u00e8se et applications, Herm\u00e8s, 1995."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB20","doi-asserted-by":"crossref","unstructured":"T. Poinot, J.C. Trigeassou, Parameter estimation of fractional models: application to the modeling of diffusive systems, 15th IFAC World Congress, Barcelona, Spain, 2002.","DOI":"10.3182\/20020721-6-ES-1901.00464"},{"key":"10.1016\/S0165-1684(03)00185-3_BIB21","doi-asserted-by":"crossref","unstructured":"H.F. Raynaud, A. Zergainoh, State-space representation of fractional linear filters, Proceedings IFAC Conference System Structure and Control, Nantes, France, 1998.","DOI":"10.23919\/ECC.1997.7082327"},{"issue":"9","key":"10.1016\/S0165-1684(03)00185-3_BIB22","first-page":"62","article-title":"Modeling of electric machines by implicit derivative half-order systems","volume":"18","author":"Reti\u00e8re","year":"1998","journal-title":"IEEE Power Eng. Rev."},{"key":"10.1016\/S0165-1684(03)00185-3_BIB23","unstructured":"J.A. TenReiro Machado, Discrete-time fractional-order controllers, Proceedings IEEE-INES\u20192000, Fourth International Conference on Intelligent Engineering Systems, Slovenia, 2000."}],"container-title":["Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168403001853?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168403001853?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,25]],"date-time":"2020-03-25T14:37:36Z","timestamp":1585147056000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165168403001853"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,11]]},"references-count":23,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2003,11]]}},"alternative-id":["S0165168403001853"],"URL":"https:\/\/doi.org\/10.1016\/s0165-1684(03)00185-3","relation":{},"ISSN":["0165-1684"],"issn-type":[{"value":"0165-1684","type":"print"}],"subject":[],"published":{"date-parts":[[2003,11]]}}}