{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T16:36:20Z","timestamp":1778862980956,"version":"3.51.4"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,5,4]],"date-time":"2017-05-04T00:00:00Z","timestamp":1493856000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Autom. Comput."],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1007\/s11633-017-1073-z","type":"journal-article","created":{"date-parts":[[2017,5,4]],"date-time":"2017-05-04T02:17:15Z","timestamp":1493864235000},"page":"335-344","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Recursive Bayesian Algorithm for Identification of Systems with Non-uniformly Sampled Input Data"],"prefix":"10.1007","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8912-8611","authenticated-orcid":false,"given":"Shao-Xue","family":"Jing","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0993-3937","authenticated-orcid":false,"given":"Tian-Hong","family":"Pan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zheng-Ming","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,4]]},"reference":[{"key":"1073_CR1","first-page":"117","volume-title":"System IdentificationNew Theory and Methods","author":"F. Ding","year":"2013","unstructured":"F. Ding. System IdentificationNew Theory and Methods, Beijing, China: Science Press, pp. 117\u2013131, 2013. (in Chinese)"},{"key":"1073_CR2","first-page":"1","volume-title":"System IdentificationPerformances Analysis for Identification Methods","author":"F. Ding","year":"2014","unstructured":"F. Ding. System IdentificationPerformances Analysis for Identification Methods, Beijing, China: Science Press, pp. 1\u201312, 2014. (in Chinese)"},{"key":"1073_CR3","first-page":"1","volume-title":"System IdentificationMulti-Innovation Identification Theory and Methods","author":"F. Ding","year":"2016","unstructured":"F. Ding. System IdentificationMulti-Innovation Identification Theory and Methods, Beijing, China: Science Press, pp. 1\u201329, 2016. (in Chinese)"},{"issue":"6","key":"1073_CR4","doi-asserted-by":"publisher","first-page":"1985","DOI":"10.1007\/s00034-012-9421-2","volume":"31","author":"Y. J. Liu","year":"2012","unstructured":"Y. J. Liu, F. Ding, Y. Shi. Least squares estimation for a class of non-uniformly sampled systems based on the hierarchical identification principle. Circuits, Systems, and Signal Processing, vol. 31, no. 6, pp. 1985\u20132000, 2012.","journal-title":"Circuits, Systems, and Signal Processing"},{"issue":"1","key":"1073_CR5","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1049\/iet-epa.2012.0116","volume":"7","author":"S. Wang","year":"2013","unstructured":"S. Wang, V. Dinavahi, J. Xiao. Multi-rate real-time modelbased parameter estimation and state identification for induction motors. IET Electric Power Applications, vol.7, no. 1, pp. 77\u201386, 2013.","journal-title":"IET Electric Power Applications"},{"issue":"1","key":"1073_CR6","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/j.automatica.2007.05.009","volume":"44","author":"W. H. Li","year":"2008","unstructured":"W. H. Li, S. L. Shah, D. Y. Xiao. Kalman filters in nonuniformly sampled multirate systems: For FDI and beyond. Automatica, vol. 44, no. 1, pp. 199\u2013208, 2008.","journal-title":"Automatica"},{"key":"1073_CR7","volume-title":"Journal of Control Science and Engineering","author":"Y. Shi","year":"2008","unstructured":"Y. Shi, T. W. Chen. 2-norm-based iterative design of filterbank transceivers: A control perspective. Journal of Control Science and Engineering, vol. 2008, Article number 143085, 2008."},{"issue":"4","key":"1073_CR8","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/s00034-004-1029-8","volume":"25","author":"Y. Shi","year":"2006","unstructured":"Y. Shi, F. Ding, T. W. Chen. 2-norm based recursive design of transmultiplexers with designable filter length. Circuits, Systems and Signal Processing, vol. 25, no. 4, pp. 447\u2013462, 2006.","journal-title":"Circuits, Systems and Signal Processing"},{"issue":"11","key":"1073_CR9","doi-asserted-by":"publisher","first-page":"2451","DOI":"10.1002\/aic.690411111","volume":"41","author":"R. D. Gudi","year":"1995","unstructured":"R. D. Gudi, S. L. Shah, M. R. Gray. Adaptive multirate state and parameter estimation strategies with application to a bioreactor. AIChE Journal, vol. 41, no. 11, pp. 2451\u20132464, 1995.","journal-title":"AIChE^Journal"},{"issue":"14","key":"1073_CR10","doi-asserted-by":"publisher","first-page":"1648","DOI":"10.1049\/iet-cta.2010.0416","volume":"5","author":"D. Q. Wang","year":"2011","unstructured":"D. Q. Wang. Least squares-based recursive and iterative estimation for output error moving average systems using data filtering. IET Control Theory & Application, vol.5, no. 14, pp. 1648\u20131657, 2011.","journal-title":"IET Control Theory & Application"},{"key":"1073_CR11","first-page":"10379","volume-title":"Proceedings of the 19th IFAC World Congress","author":"F. W. Chen","year":"2014","unstructured":"F. W. Chen, H. Garnier, M. Gilson, J. C. Ag\u00fcero, B. I. Godoy. Identification of continuous-time transfer function models from non-uniformly sampled data in presence of colored noise. In Proceedings of the 19th IFAC World Congress, IFAC, Cape Town, South Africa, pp. 10379\u201310384, 2014."},{"issue":"5","key":"1073_CR12","doi-asserted-by":"publisher","first-page":"784","DOI":"10.1049\/iet-cta.2009.0064","volume":"4","author":"L. Xie","year":"2010","unstructured":"L. Xie, Y. J. Liu, H. Z. Yang, F. Ding. Modelling and identification for non-uniformly periodically sampled-data systems. IET Control Theory & Applications, vol. 4, no. 5, pp. 784\u2013794, 2010.","journal-title":"IET Control Theory & Applications"},{"issue":"2","key":"1073_CR13","doi-asserted-by":"publisher","first-page":"324","DOI":"10.1016\/j.automatica.2008.08.007","volume":"45","author":"F. Ding","year":"2009","unstructured":"F. Ding, L. Qiu, T. W. Chen. Reconstruction of continuoustime systems from their non-uniformly sampled discretetime systems. Automatica, vol. 45, no. 2, pp. 324\u2013332, 2009.","journal-title":"Automatica"},{"issue":"5","key":"1073_CR14","doi-asserted-by":"publisher","first-page":"1439","DOI":"10.1007\/s00034-013-9704-2","volume":"33","author":"J. Ding","year":"2014","unstructured":"J. Ding, J. X. Lin. Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique. Circuits, Systems, and Signal Processing, vol. 33, no. 5, pp. 1439\u20131449, 2014.","journal-title":"Circuits, Systems, and Signal Processing"},{"issue":"8","key":"1073_CR15","doi-asserted-by":"publisher","first-page":"1976","DOI":"10.1109\/TAC.2010.2050713","volume":"55","author":"F. Ding","year":"2010","unstructured":"F. Ding, G. J. Liu, X. P. Liu. Partially coupled stochastic gradient identification methods for non-uniformly sampled systems. IEEE Transactions on Automatic Control, vol. 55, no. 8, pp. 1976\u20131981, 2010.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"15","key":"1073_CR16","doi-asserted-by":"publisher","first-page":"4257","DOI":"10.1016\/j.apm.2014.12.040","volume":"39","author":"Y. Zhang","year":"2015","unstructured":"Y. Zhang, Z. Zhao, G. M. Cui. Auxiliary model method for transfer function estimation from noisy input and output data. Applied Mathematical Modelling, vol. 39, no. 15, pp. 4257\u20134265, 2015.","journal-title":"Applied Mathematical Modelling"},{"issue":"9\u201310","key":"1073_CR17","doi-asserted-by":"publisher","first-page":"1810","DOI":"10.1016\/j.mcm.2010.12.059","volume":"53","author":"Y. Zhang","year":"2011","unstructured":"Y. Zhang. Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods. Mathematical and Computer Modelling, vol. 53, no. 9\u201310, pp. 1810\u20131819, 2011.","journal-title":"Mathematical and Computer Modelling"},{"issue":"4","key":"1073_CR18","doi-asserted-by":"publisher","first-page":"1709","DOI":"10.1016\/j.apm.2010.10.003","volume":"35","author":"Y. Zhang","year":"2011","unstructured":"Y. Zhang, G. M. Cui. Bias compensation methods for stochastic systems with colored noise. Applied Mathematical Modelling, vol. 35, no. 4, pp. 1709\u20131716, 2011.","journal-title":"Applied Mathematical Modelling"},{"issue":"3","key":"1073_CR19","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1007\/s11633-012-0647-z","volume":"9","author":"K. H. Yang","year":"2012","unstructured":"K. H. Yang, W. S. Yu, X. Q. Ji. Rotation estimation for mobile robot based on single-axis gyroscope and monocular camera. International Journal of Automation and Computing, vol. 9, no. 3, pp. 292\u2013298, 2012.","journal-title":"International Journal of Automation and Computing"},{"issue":"9","key":"1073_CR20","doi-asserted-by":"publisher","first-page":"257","DOI":"10.14257\/ijca.2014.7.9.22","volume":"7","author":"D. K. Arif","year":"2014","unstructured":"D. K. Arif, Widodo, Salmah, E. Apriliani. Construction of the Kalman filter algorithm on the model reduction. International Journal of Control and Automation, vol. 7, no. 9, pp. 257\u2013270, 2014.","journal-title":"International Journal of Control and Automation"},{"key":"1073_CR21","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1016\/j.automatica.2016.05.024","volume":"71","author":"Y. J. Wang","year":"2016","unstructured":"Y. J. Wang, F. Ding. Novel data filtering based parameter identification for multiple-input multiple-output systems using the auxiliary model. Automatica, vol. 71, pp. 308\u2013313, 2016.","journal-title":"Automatica"},{"issue":"8","key":"1073_CR22","doi-asserted-by":"publisher","first-page":"894","DOI":"10.1049\/iet-cta.2015.1195","volume":"10","author":"Y. J. Wang","year":"2016","unstructured":"Y. J. Wang, F. Ding. Filtering-based iterative identification for multivariable systems. IET Control Theory & Applications, vol. 10, no. 8, pp. 894\u2013902, 2016.","journal-title":"IET Control Theory & Applications"},{"key":"1073_CR23","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1016\/j.sigpro.2016.03.027","volume":"128","author":"Y. J. Wang","year":"2016","unstructured":"Y. J. Wang, F. Ding. The auxiliary model based hierarchical gradient algorithms and convergence analysis using the filtering technique. Signal Processing, vol. 128, pp. 212\u2013221, 2016.","journal-title":"Signal Processing"},{"issue":"1\u20132","key":"1073_CR24","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1016\/j.mcm.2011.02.014","volume":"6","author":"L. Xie","year":"2011","unstructured":"L. Xie, H. Z. Yang, F. Ding. Recursive least squares parameter estimation for non-uniformly sampled systems based on the data filtering. Mathematical and Computer Modelling, vol. 6, no. 1\u20132, pp. 315\u2013324, 2011.","journal-title":"Mathematical and Computer Modelling"},{"issue":"4","key":"1073_CR25","first-page":"445","volume":"223","author":"Y. J. Liu","year":"2009","unstructured":"Y. J. Liu, L. Xie, F. Ding. An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 223, no. 4, pp. 445\u2013454, 2009.","journal-title":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"},{"key":"1073_CR26","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/978-0-85729-974-1_5","volume-title":"System Identification, Environmental Modelling, and Control System Design","author":"G. C. Goodwin","year":"2012","unstructured":"G. C. Goodwin, M. G. Cea. Application of minimum distortion filtering to identification of linear systems having nonuniform sampling period. System Identification, Environmental Modelling, and Control System Design, L. P. Wang, H. Garnier, Eds., London, UK: Springer, pp. 97\u2013114, 2012."},{"key":"1073_CR27","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1109\/ICAL.2007.4338528","volume-title":"Proceedings of IEEE International Conference on Automation and Logistics","author":"J. H. Wang","year":"2007","unstructured":"J. H. Wang, H. X. Jiang, F. Ding. Filtering of non-uniformly multirate sampled-data systems using the lifting technique. In Proceedings of IEEE International Conference on Automation and Logistics, IEEE, Ji\u2019nan, China, pp. 46\u201350, 2007."},{"issue":"10","key":"1073_CR28","doi-asserted-by":"publisher","first-page":"1913","DOI":"10.1080\/00207721.2012.670302","volume":"44","author":"L. P. Yan","year":"2013","unstructured":"L. P. Yan, B. Xiao, Y. Q. Xia, M. Y. Fu. State estimation for a kind of non-uniform sampling dynamic system. International Journal of Systems Science, vol. 44, no. 10, pp. 1913\u20131924, 2013.","journal-title":"International Journal of Systems Science"},{"issue":"8","key":"1073_CR29","doi-asserted-by":"publisher","first-page":"1646","DOI":"10.1016\/j.automatica.2011.05.007","volume":"47","author":"F. Ding","year":"2011","unstructured":"F. Ding, G. J. Liu, X. P. Liu. Parameter estimation with scarce measurements. Automatica, vol. 47, no. 8, pp. 1646\u20131655, 2011.","journal-title":"Automatica"},{"key":"1073_CR30","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/978-3-540-71970-0_6","volume-title":"Process Modelling, Identification, and Control","author":"J. Mikle\u0161","year":"2007","unstructured":"J. Mikle\u0161, M. Fikar. Process Modelling, Identification, and Control, Berlin, Germany: Springer, pp. 221\u2013251, 2007."},{"key":"1073_CR31","first-page":"95","volume-title":"Theory of System Identification with Applications","author":"D. Y. Xiao","year":"2014","unstructured":"D. Y. Xiao. Theory of System Identification with Applications, Beijing, China: Tsinghua University Press, pp. 95\u2013134, 2014. (in Chinese)"},{"key":"1073_CR32","first-page":"197","volume-title":"System Identification: Theory for the User","author":"L. Ljung","year":"1999","unstructured":"L. Ljung. System Identification: Theory for the User, 2nd ed., Englewood Cliffs, USA: Prentice Hall PTR, pp. 197\u2013245, 1999.","edition":"2"},{"key":"1073_CR33","first-page":"121","volume-title":"Adaptive Filtering Prediction and Control","author":"G. C. Goodwin","year":"2009","unstructured":"G. C. Goodwin, K. S. Sin. Adaptive Filtering Prediction and Control, New York, USA: Dover Publications Inc., pp. 121\u2013150, 2009."},{"key":"1073_CR34","first-page":"439","volume-title":"Time Series Analysis: Forecasting and Control","author":"G. E. P. Box","year":"2011","unstructured":"G. E. P. Box, G. M. Jenkins, G. C. Reinsel. Time Series Analysis: Forecasting and Control, New Jersey, USA: John Wiley & Sons, pp. 439\u2013472, 2011."}],"container-title":["International Journal of Automation and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11633-017-1073-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11633-017-1073-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11633-017-1073-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T11:54:02Z","timestamp":1692791642000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11633-017-1073-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,4]]},"references-count":34,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["1073"],"URL":"https:\/\/doi.org\/10.1007\/s11633-017-1073-z","relation":{},"ISSN":["1476-8186","1751-8520"],"issn-type":[{"value":"1476-8186","type":"print"},{"value":"1751-8520","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,4]]}}}