{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T19:24:21Z","timestamp":1771010661887,"version":"3.50.1"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,4,18]],"date-time":"2017-04-18T00:00:00Z","timestamp":1492473600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"National Natural Science Foundation of China (CN)","award":["61273194"],"award-info":[{"award-number":["61273194"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[2018,7]]},"DOI":"10.1007\/s11045-017-0491-y","type":"journal-article","created":{"date-parts":[[2017,4,18]],"date-time":"2017-04-18T11:04:19Z","timestamp":1492513459000},"page":"1135-1152","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Recursive least squares identification methods for multivariate pseudo-linear systems using the data filtering"],"prefix":"10.1007","volume":"29","author":[{"given":"Ping","family":"Ma","sequence":"first","affiliation":[]},{"given":"Feng","family":"Ding","sequence":"additional","affiliation":[]},{"given":"Ahmed","family":"Alsaedi","sequence":"additional","affiliation":[]},{"given":"Tasawar","family":"Hayat","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,4,18]]},"reference":[{"key":"491_CR1","first-page":"113","volume":"2","author":"N Chi","year":"2017","unstructured":"Chi, N., Qiao, L., Zhao, J. Q., & Lu, X. Y. (2017). Research status of MIMO in visible light communication system. Journal of Nanjing University of Information Science and Technology, 2, 113\u2013122.","journal-title":"Journal of Nanjing University of Information Science and Technology"},{"issue":"10","key":"491_CR2","first-page":"1729","volume":"31","author":"F Ding","year":"2016","unstructured":"Ding, F. (2016). Complexity, convergence and computational efficiency for system identification algorithms. Control and Decision, 31(10), 1729\u20131741.","journal-title":"Control and Decision"},{"issue":"3","key":"491_CR3","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1049\/iet-cta.2016.0491","volume":"11","author":"F Ding","year":"2017","unstructured":"Ding, F., Wang, F. F., Xu, L., Hayat, T., & Alsaedi, A. (2017a). Parameter estimation for pseudo-linear systems using the auxiliary model and the decomposition technique. IET Control Theory and Applications, 11(3), 390\u2013400.","journal-title":"IET Control Theory and Applications"},{"issue":"3","key":"491_CR4","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1016\/j.jfranklin.2016.11.030","volume":"354","author":"F Ding","year":"2017","unstructured":"Ding, F., Wang, F. F., Xu, L., & Wu, M. H. (2017b). Decomposition based least squares iterative identification algorithm for multivariate pseudo-linear ARMA systems using the data filtering. Journal of the Franklin Institute, 354(3), 1321\u20131339.","journal-title":"Journal of the Franklin Institute"},{"issue":"4","key":"491_CR5","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1007\/s11045-013-0242-7","volume":"24","author":"C El-Kasri","year":"2013","unstructured":"El-Kasri, C., Hmamed, A., Tissir, E., & Tadeo, F. (2013). Robust H-infinity filtering for uncertain two-dimensional continuous systems with time-varying delays. Multidimensional Systems and Signal Processing, 24(4), 685\u2013706.","journal-title":"Multidimensional Systems and Signal Processing"},{"issue":"2","key":"491_CR6","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1109\/LGRS.2015.2507623","volume":"13","author":"L Feng","year":"2016","unstructured":"Feng, L., Wu, M. H., Li, Q. X., Chen, K., Li, Y. F., He, Z. Q., et al. (2016). Array factor forming for image reconstruction of one-dimensional nonuniform aperture synthesis radiometers. IEEE Geoscience and Remote Sensing Letters, 13(2), 237\u2013241.","journal-title":"IEEE Geoscience and Remote Sensing Letters"},{"issue":"11","key":"491_CR7","doi-asserted-by":"crossref","first-page":"1411","DOI":"10.1002\/acs.2552","volume":"29","author":"MV Kulikova","year":"2015","unstructured":"Kulikova, M. V., & Tsyganova, J. V. (2015). Constructing numerically stable Kalman filter-based algorithms for gradient-based adaptive filtering. International Journal of Adaptive Control and Signal Processing, 29(11), 1411\u20131426.","journal-title":"International Journal of Adaptive Control and Signal Processing"},{"issue":"9","key":"491_CR8","doi-asserted-by":"crossref","first-page":"2019","DOI":"10.1109\/TCYB.2015.2459719","volume":"46","author":"HP Li","year":"2016","unstructured":"Li, H. P., Shi, Y., & Yan, W. S. (2016a). On neighbor information utilization in distributed receding horizon control for consensus-seeking. IEEE Transactions on Cybernetics, 46(9), 2019\u20132027.","journal-title":"IEEE Transactions on Cybernetics"},{"key":"491_CR9","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.automatica.2016.01.057","volume":"68","author":"HP Li","year":"2016","unstructured":"Li, H. P., Shi, Y., & Yan, W. S. (2016b). Distributed receding horizon control of constrained nonlinear vehicle formations with guaranteed \n                        $$\\gamma $$\n                        \n                            \n                                \u03b3\n                            \n                        \n                    -gain stability. Automatica, 68, 148\u2013154.","journal-title":"Automatica"},{"key":"491_CR10","first-page":"144","volume":"75","author":"HP Li","year":"2016","unstructured":"Li, H. P., Yan, W. S., & Shi, Y. (2016c). Continuous-time model predictive control of under-actuated spacecraft with bounded control torques. Automatica, 75, 144\u2013153.","journal-title":"Automatica"},{"issue":"1","key":"491_CR11","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s11045-013-0248-1","volume":"26","author":"JF Li","year":"2015","unstructured":"Li, J. F., & Zhang, X. F. (2015). Sparse representation-based joint angle and Doppler frequency estimation for MIMO radar. Multidimensional Systems and Signal Processing, 26(1), 179\u2013192.","journal-title":"Multidimensional Systems and Signal Processing"},{"issue":"1","key":"491_CR12","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1016\/j.jfranklin.2016.10.002","volume":"354","author":"JH Li","year":"2017","unstructured":"Li, J. H., Zheng, W. X., Gu, J. P., & Hua, L. (2017). Parameter estimation algorithms for Hammerstein output error systems using Levenberg\u2013Marquardt optimization method with varying interval measurements. Journal of the Franklin Institute, 354(1), 316\u2013331.","journal-title":"Journal of the Franklin Institute"},{"issue":"1","key":"491_CR13","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s11045-014-0289-0","volume":"27","author":"A Mahmoudi","year":"2016","unstructured":"Mahmoudi, A. (2016). Two dimensional autoregressive estimation from noisy observations as a quadratic eigenvalue problem. Multidimensional Systems and Signal Processing, 27(1), 61\u201368.","journal-title":"Multidimensional Systems and Signal Processing"},{"issue":"2","key":"491_CR14","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1007\/s00034-015-0064-y","volume":"35","author":"YW Mao","year":"2016","unstructured":"Mao, Y. W., & Ding, F. (2016). Data filtering-based multi-innovation stochastic gradient algorithm for nonlinear output error autoregressive systems. Circuits, Systems and Signal Processing, 35(2), 651\u2013667.","journal-title":"Circuits, Systems and Signal Processing"},{"issue":"3","key":"491_CR15","doi-asserted-by":"crossref","first-page":"1568","DOI":"10.1016\/j.jfranklin.2016.11.025","volume":"354","author":"P Ma","year":"2017","unstructured":"Ma, P., & Ding, F. (2017). New gradient based identification methods for multivariate pseudo-linear systems using the multi-innovation and the data filtering. Journal of the Franklin Institute, 354(3), 1568\u20131583.","journal-title":"Journal of the Franklin Institute"},{"issue":"5","key":"491_CR16","doi-asserted-by":"crossref","first-page":"1672","DOI":"10.1002\/aic.14362","volume":"60","author":"RC Panda","year":"2014","unstructured":"Panda, R. C., & Vijayaraghavan, S. (2014). Parameter estimation of linear MIMO systems using sequential relay feedback test. Aiche Journal, 60(5), 1672\u20131681.","journal-title":"Aiche Journal"},{"key":"491_CR17","doi-asserted-by":"crossref","first-page":"1625","DOI":"10.1016\/j.neucom.2015.09.034","volume":"173","author":"J Pan","year":"2016","unstructured":"Pan, J., Yang, X. H., Cai, H. F., & Mu, B. X. (2016). Image noise smoothing using a modified Kalman filter. Neurocomputing, 173, 1625\u20131629.","journal-title":"Neurocomputing"},{"issue":"9","key":"491_CR18","doi-asserted-by":"crossref","first-page":"2549","DOI":"10.1109\/TAC.2014.2308601","volume":"59","author":"D Sigalov","year":"2014","unstructured":"Sigalov, D., Michaeli, T., & Oshman, Y. (2014). LMMSE filtering in feedback systems with white random modes: Application to tracking in clutter. IEEE Transactions on Automatic Control, 59(9), 2549\u20132554.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"491_CR19","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.measurement.2016.01.046","volume":"86","author":"XK Wan","year":"2016","unstructured":"Wan, X. K., Li, Y., Xia, C., Wu, M. H., Liang, J., & Wang, N. (2016). A T-wave alternans assessment method based on least squares curve fitting technique. Measurement, 86, 93\u2013100.","journal-title":"Measurement"},{"issue":"14","key":"491_CR20","doi-asserted-by":"crossref","first-page":"1648","DOI":"10.1049\/iet-cta.2010.0416","volume":"5","author":"DQ Wang","year":"2011","unstructured":"Wang, D. Q. (2011). Least squares-based recursive and iterative estimation for output error moving average systems using data filtering. IET Control Theory and Applications, 5(14), 1648\u20131657.","journal-title":"IET Control Theory and Applications"},{"key":"491_CR21","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.aml.2015.12.018","volume":"57","author":"DQ Wang","year":"2016","unstructured":"Wang, D. Q. (2016). Hierarchical parameter estimation for a class of MIMO Hammerstein systems based on the reframed models. Applied Mathematics Letters, 57, 13\u201319.","journal-title":"Applied Mathematics Letters"},{"key":"491_CR22","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.ins.2016.03.037","volume":"355","author":"DQ Wang","year":"2016","unstructured":"Wang, D. Q., & Ding, F. (2016a). Parameter estimation algorithms for multivariable Hammerstein CARMA systems. Information Sciences, 355, 237\u2013248.","journal-title":"Information Sciences"},{"key":"491_CR23","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1016\/j.automatica.2016.05.024","volume":"71","author":"YJ Wang","year":"2016","unstructured":"Wang, Y. J., & Ding, F. (2016b). Novel data filtering based parameter identification for multiple-input multiple-output systems using the auxiliary model. Automatica, 71, 308\u2013313.","journal-title":"Automatica"},{"issue":"8","key":"491_CR24","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1049\/iet-cta.2015.1195","volume":"10","author":"YJ Wang","year":"2016","unstructured":"Wang, Y. J., & Ding, F. (2016c). The filtering based iterative identification for multivariable systems. IET Control Theory and Applications, 10(8), 894\u2013902.","journal-title":"IET Control Theory and Applications"},{"key":"491_CR25","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1016\/j.sigpro.2016.03.027","volume":"128","author":"YJ Wang","year":"2016","unstructured":"Wang, Y. J., & Ding, F. (2016d). The auxiliary model based hierarchical gradient algorithms and convergence analysis using the filtering technique. Signal Processing, 128, 212\u2013221.","journal-title":"Signal Processing"},{"issue":"4","key":"491_CR26","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1007\/s11071-016-2623-6","volume":"84","author":"FF Wang","year":"2016","unstructured":"Wang, F. F., & Ding, F. (2016e). Gradient-based iterative identification methods for multivariate pseudo-linear moving average systems using the data filtering. Nonlinear Dynamics, 84(4), 2003\u20132015.","journal-title":"Nonlinear Dynamics"},{"issue":"2","key":"491_CR27","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/s00034-015-0071-z","volume":"35","author":"XH Wang","year":"2016","unstructured":"Wang, X. H., & Ding, F. (2016f). Joint estimation of states and parameters for an input nonlinear state-space system with colored noise using the filtering technique. Circuits, Systems and Signal Processing, 35(2), 481\u2013500.","journal-title":"Circuits, Systems and Signal Processing"},{"issue":"4","key":"491_CR28","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1049\/iet-cta.2016.0017","volume":"11","author":"DQ Wang","year":"2017","unstructured":"Wang, D. Q., Mao, L., & Ding, F. (2017). Recasted models based hierarchical extended stochastic gradient method for MIMO nonlinear systems. IET Control Theory and Applications, 11(4), 476\u2013485.","journal-title":"IET Control Theory and Applications"},{"key":"491_CR29","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/j.isatra.2015.11.018","volume":"60","author":"TZ Wang","year":"2016","unstructured":"Wang, T. Z., Qi, J., Xu, H., Wang, Y. D., Liu, L., & Gao, D. J. (2016). Fault diagnosis method based on FFT-RPCA-SVM for cascaded-multilevel inverter. ISA Transactions, 60, 156\u2013163.","journal-title":"ISA Transactions"},{"issue":"3","key":"491_CR30","doi-asserted-by":"crossref","first-page":"374","DOI":"10.3846\/13926292.2013.804889","volume":"18","author":"DQ Wang","year":"2013","unstructured":"Wang, D. Q., Shan, T., & Ding, R. (2013). Data filtering based stochastic gradient algorithms for multivariable CARAR-like systems. Mathematical Modelling and Analysis, 18(3), 374\u2013385.","journal-title":"Mathematical Modelling and Analysis"},{"issue":"3","key":"491_CR31","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1007\/s11071-014-1338-9","volume":"77","author":"C Wang","year":"2014","unstructured":"Wang, C., & Tang, T. (2014). Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Nonlinear Dynamics, 77(3), 769\u2013780.","journal-title":"Nonlinear Dynamics"},{"key":"491_CR32","first-page":"159","volume":"2","author":"N Wu","year":"2017","unstructured":"Wu, N., Yang, A. Y., Feng, L. H., & Xin, X. J. (2017). Review on indoor positioning technology based on visible light communications. Journal of Nanjing University of Information Science and Technology, 2, 159\u2013167.","journal-title":"Journal of Nanjing University of Information Science and Technology"},{"issue":"11","key":"491_CR33","doi-asserted-by":"crossref","first-page":"5292","DOI":"10.1016\/j.jfranklin.2015.09.007","volume":"352","author":"DQ Wang","year":"2015","unstructured":"Wang, D. Q., & Zhang, W. (2015). Improved least squares identification algorithm for multivariable Hammerstein systems. Journal of the Franklin Institute, 352(11), 5292\u20135307.","journal-title":"Journal of the Franklin Institute"},{"key":"491_CR34","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/j.amc.2014.02.087","volume":"236","author":"L Xu","year":"2014","unstructured":"Xu, L. (2014). A proportional differential control method for a time-delay system using the Taylor expansion approximation. Applied Mathematics and Computation, 236, 391\u2013399.","journal-title":"Applied Mathematics and Computation"},{"key":"491_CR35","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.cam.2015.03.057","volume":"288","author":"L Xu","year":"2015","unstructured":"Xu, L. (2015). Application of the Newton iteration algorithm to the parameter estimation for dynamical systems. Journal of Computational and Applied Mathematics, 288, 33\u201343.","journal-title":"Journal of Computational and Applied Mathematics"},{"issue":"3","key":"491_CR36","doi-asserted-by":"crossref","first-page":"2155","DOI":"10.1007\/s11071-014-1801-7","volume":"79","author":"L Xu","year":"2015","unstructured":"Xu, L., Chen, L., & Xiong, W. L. (2015). Parameter estimation and controller design for dynamic systems from the step responses based on the Newton iteration. Nonlinear Dynamics, 79(3), 2155\u20132163.","journal-title":"Nonlinear Dynamics"},{"issue":"4","key":"491_CR37","doi-asserted-by":"crossref","first-page":"1735","DOI":"10.1007\/s00034-016-0378-4","volume":"36","author":"L Xu","year":"2017","unstructured":"Xu, L., & Ding, F. (2017). Recursive least squares and multi-innovation stochastic gradient parameter estimation methods for signal modeling. Circuits, Systems and Signal Processing, 36(4), 1735\u20131753.","journal-title":"Circuits, Systems and Signal Processing"},{"issue":"1","key":"491_CR38","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/s11045-013-0255-2","volume":"26","author":"J Yan","year":"2015","unstructured":"Yan, J., & Lu, W. S. (2015). Image denoising by generalized total variation regularization and least squares fidelity. Multidimensional Systems and Signal Processing, 26(1), 243\u2013266.","journal-title":"Multidimensional Systems and Signal Processing"},{"issue":"2","key":"491_CR39","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/s11045-014-0305-4","volume":"27","author":"M Zeinali","year":"2016","unstructured":"Zeinali, M., & Shafiee, M. (2016). A new Levinson\u2013Durbin based 2-D AR model parameter estimation method. Multidimensional Systems and Signal Processing, 27(2), 341\u2013357.","journal-title":"Multidimensional Systems and Signal Processing"}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11045-017-0491-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-017-0491-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-017-0491-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,3,20]],"date-time":"2018-03-20T05:36:28Z","timestamp":1521524188000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11045-017-0491-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,18]]},"references-count":39,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,7]]}},"alternative-id":["491"],"URL":"https:\/\/doi.org\/10.1007\/s11045-017-0491-y","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"value":"0923-6082","type":"print"},{"value":"1573-0824","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4,18]]}}}