{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T09:05:55Z","timestamp":1648717555098},"reference-count":33,"publisher":"Elsevier BV","issue":"4-5","license":[{"start":{"date-parts":[[2002,7,1]],"date-time":"2002-07-01T00:00:00Z","timestamp":1025481600000},"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":["Journal of the Franklin Institute"],"published-print":{"date-parts":[[2002,7]]},"DOI":"10.1016\/s0016-0032(02)00026-1","type":"journal-article","created":{"date-parts":[[2002,10,8]],"date-time":"2002-10-08T22:26:16Z","timestamp":1034115976000},"page":"431-454","source":"Crossref","is-referenced-by-count":3,"title":["A new GUI interpretation tool for the non-linear frequency response function"],"prefix":"10.1016","volume":"339","author":[{"given":"Jui-Jung","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/S0016-0032(02)00026-1_BIB1","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0005-1098(81)90085-6","article-title":"Frequency domain versus time domain methods in system identification","volume":"17","author":"Ljung","year":"1981","journal-title":"Automatica"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB2","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1016\/S0967-0661(99)00033-7","article-title":"System identification with multi-level periodic perturbation signals","volume":"7","author":"Barker","year":"1999","journal-title":"Control Eng. Practice"},{"issue":"1","key":"10.1016\/S0016-0032(02)00026-1_BIB3","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0005-1098(81)90085-6","article-title":"Frequency domain versus time domain methods in system identification","volume":"17","author":"Ljung","year":"1981","journal-title":"Automatica"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB4","unstructured":"D.A. Geroge, Continuous non-linear systems, MIT Research Lab. of Elect., Technique Report No. 355, 1959."},{"issue":"4","key":"10.1016\/S0016-0032(02)00026-1_BIB5","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1049\/ij-ecs.1979.0030","article-title":"Frequency domain analysis of non-linear systems","volume":"3","author":"Chua","year":"1979","journal-title":"Electron. Circuits Systems"},{"issue":"6","key":"10.1016\/S0016-0032(02)00026-1_BIB6","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1049\/ij-ecs.1979.0045","article-title":"Frequency domain analysis of non-linear systems","volume":"3","author":"Chua","year":"1979","journal-title":"Electron. Circuits Systems"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB7","series-title":"The Volterra and Weiner Theories of Non-linear Systems","author":"Schetzen","year":"1980"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB8","unstructured":"W.J. Rugh, Non-linear System Theory\u2014The Volterra\/Wiener Approach, The Johns Hopkins University Press, Baltimore, MD, 1981."},{"issue":"3","key":"10.1016\/S0016-0032(02)00026-1_BIB9","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0022-460X(70)90074-X","article-title":"The identification of polynomial systems by means of higher order spectra","volume":"12","author":"Brillinger","year":"1970","journal-title":"J. Sound Vib."},{"issue":"11","key":"10.1016\/S0016-0032(02)00026-1_BIB10","doi-asserted-by":"crossref","first-page":"1758","DOI":"10.1109\/29.9013","article-title":"A digital method of modelling quadratically non-linear system with a general random input","volume":"36","author":"Kim","year":"1988","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"5","key":"10.1016\/S0016-0032(02)00026-1_BIB11","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1109\/78.134466","article-title":"A digital technique to estimate second-order distortion using higher order coherence spectra","volume":"40","author":"Cho","year":"1992","journal-title":"Trans. Signal Process."},{"issue":"2","key":"10.1016\/S0016-0032(02)00026-1_BIB12","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1080\/0020718508961129","article-title":"Input\u2013output parametric models for non-linear systems. Part I","volume":"41","author":"Leontaritis","year":"1985","journal-title":"Int. J. Control"},{"issue":"2","key":"10.1016\/S0016-0032(02)00026-1_BIB13","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1080\/0020718508961130","article-title":"Input\u2013output parametric models for non-linear systems. Part II","volume":"41","author":"Leontaritis","year":"1985","journal-title":"Int. J. Control"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB14","doi-asserted-by":"crossref","unstructured":"S.A. Billings, M.B. Fadzl, The practical identification of systems with non-linearity, Seventh IFAC Symposium Identification and System Parameter Estimation, 1985, pp. 155\u2013160.","DOI":"10.1016\/S1474-6670(17)60551-2"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB15","series-title":"An Application of System Identification in Engineering","author":"Natke","year":"1988"},{"issue":"4","key":"10.1016\/S0016-0032(02)00026-1_BIB16","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1080\/002071799221109","article-title":"Narmax modelling and robust control of internal combustion engines","volume":"72","author":"Glass","year":"1999","journal-title":"Int. J. Control"},{"issue":"4","key":"10.1016\/S0016-0032(02)00026-1_BIB17","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/0888-3270(89)90041-1","article-title":"Spectral analysis for non-linear systems, Part I","volume":"3","author":"Billings","year":"1989","journal-title":"Mech. Systems Signal Process."},{"issue":"4","key":"10.1016\/S0016-0032(02)00026-1_BIB18","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/0888-3270(89)90042-3","article-title":"Spectral analysis for non-linear systems, Part II","volume":"3","author":"Billings","year":"1989","journal-title":"Mech. Systems Signal Process."},{"issue":"2","key":"10.1016\/S0016-0032(02)00026-1_BIB19","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1080\/00207179008953539","article-title":"Interpretation of non-linear frequency response functions","volume":"52","author":"Peyton-Jones","year":"1990","journal-title":"Int. J. Control"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB20","unstructured":"S.A. Billings, I.J. Leontaritis, Identification of non-linear systems using parameter estimation techniques, Proceedings of the IEE Conference on Control and its Applications, Warwick, UK, 1981, pp. 183\u2013187."},{"key":"10.1016\/S0016-0032(02)00026-1_BIB21","doi-asserted-by":"crossref","unstructured":"S.A. Billings, I.J. Leontaritis, Identification of non-linear systems using parameter estimation techniques, Proceedings of the Sixth IFAC Symposium on Identification and System Parameter Estimation, pp. 505\u2013510; Conference on Control and its Applications, pp. 183\u2013187, Washington, DC, 1982.","DOI":"10.1016\/S1474-6670(17)63039-8"},{"issue":"4","key":"10.1016\/S0016-0032(02)00026-1_BIB22","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1049\/ip-d.1983.0034","article-title":"Structure detection and model validity tests in the identification of non-linear systems","volume":"130","author":"Billings","year":"1983","journal-title":"IEE Proc. Part D"},{"issue":"3","key":"10.1016\/S0016-0032(02)00026-1_BIB23","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1080\/00207178908559683","article-title":"Representations of non-linear systems","volume":"49","author":"Billings","year":"1989","journal-title":"Int. J. Control"},{"issue":"1","key":"10.1016\/S0016-0032(02)00026-1_BIB24","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1080\/00207178808906169","article-title":"Orthogonal parameter estimation algorithm for non-linear stochastic systems","volume":"48","author":"Korenberg","year":"1988","journal-title":"Int. J. Control"},{"issue":"3","key":"10.1016\/S0016-0032(02)00026-1_BIB25","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1080\/00207178708933730","article-title":"Model selection and validation methods for non-linear systems","volume":"45","author":"Leontaritis","year":"1987","journal-title":"Int. J. Control"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB26","unstructured":"S.A. Billings, Estimation non-linear models, Research Report No. 328, Department of Automatic Control and System Engineering Sheffield, UK, 1988."},{"key":"10.1016\/S0016-0032(02)00026-1_BIB27","series-title":"Neural Networks for Systems and Control","first-page":"181","article-title":"Neural networks and system identification","author":"Billings","year":"1992"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB28","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1111\/j.1467-9892.1980.tb00308.x","article-title":"A test for non-linearity of stationarity time series","volume":"1","author":"Subba Rao","year":"1980","journal-title":"J. Time Ser. Anal."},{"key":"10.1016\/S0016-0032(02)00026-1_BIB29","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1111\/j.1467-9892.1983.tb00373.x","article-title":"Diagnostic checking ARMA time series models using squared residual autocorrelation","volume":"4","author":"Mcleod","year":"1983","journal-title":"J. Time Ser. Anal."},{"issue":"4","key":"10.1016\/S0016-0032(02)00026-1_BIB30","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1080\/00207179508921566","article-title":"Model validation tests for multivariable non-linear models including neural networks","volume":"62","author":"Billings","year":"1995","journal-title":"Int. J. Control"},{"issue":"12","key":"10.1016\/S0016-0032(02)00026-1_BIB31","doi-asserted-by":"crossref","first-page":"1688","DOI":"10.1109\/PROC.1971.8525","article-title":"The output properties of Volterra systems (non-linear systems with memory) driven by harmonic and Gaussian inputs","volume":"59","author":"Bedrosian","year":"1971","journal-title":"Proc. IEEE"},{"key":"10.1016\/S0016-0032(02)00026-1_BIB32","series-title":"Non-linear Oscillations","author":"Nayfeh","year":"1979"},{"issue":"3","key":"10.1016\/S0016-0032(02)00026-1_BIB33","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/0022-460X(86)90186-0","article-title":"Decomposition of wave forces into linear and non-linear components","volume":"106","author":"Bendat","year":"1986","journal-title":"J. Sound Vib."}],"container-title":["Journal of the Franklin Institute"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003202000261?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003202000261?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,8]],"date-time":"2020-03-08T03:40:12Z","timestamp":1583638812000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0016003202000261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,7]]},"references-count":33,"journal-issue":{"issue":"4-5","published-print":{"date-parts":[[2002,7]]}},"alternative-id":["S0016003202000261"],"URL":"https:\/\/doi.org\/10.1016\/s0016-0032(02)00026-1","relation":{},"ISSN":["0016-0032"],"issn-type":[{"value":"0016-0032","type":"print"}],"subject":[],"published":{"date-parts":[[2002,7]]}}}