References
- Bai , E. W. 2004 . Decoupling the linear and nonlinear parts in Hammerstein model identification . Automatica , 40 ( 4 ) : 671 – 676 . (doi:10.1016/j.automatica.2003.11.007)
- Bao , B. , Xu , Y. Q. , Sheng , J. and Ding , R. F. 2011 . Least squares based iterative parameter estimation algorithm for multivariable controlled ARMA system modelling with finite measurement data . Math. Comput. Model. , 53 ( 9 ) : 1664 – 1669 . (doi:10.1016/j.mcm.2010.12.034)
- Cai , J. and Chen , G. L. 2011 . An iterative method for the least squares solutions of the linear matrix equations with some constraint . Int. J. Comput. Math. , 88 ( 3 ) : 634 – 649 . (doi:10.1080/00207161003643005)
- Dehghan , M. and Hajarian , M. 2010 . An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices . Appl. Math. Model. , 34 ( 3 ) : 639 – 654 . (doi:10.1016/j.apm.2009.06.018)
- Dehghan , M. and Hajarian , M. 2011 . Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations . Appl. Math. Model. , 35 ( 7 ) : 3285 – 3300 . (doi:10.1016/j.apm.2011.01.022)
- Ding , F. 2010 . Several multi-innovation identification methods . Digit. Signal Process. , 20 ( 4 ) : 1027 – 1039 . (doi:10.1016/j.dsp.2009.10.030)
- Ding , F. 2013 . Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling . Appl. Math. Model. , 37 ( 4 ) : 1694 – 1704 . (doi:10.1016/j.apm.2012.04.039)
- Ding , F. 2013 . Two-stage least squares based iterative estimation algorithm for CARARMA system modeling . Appl. Math. Model. , 37 ( 7 ) : 4798 – 4808 . (doi:10.1016/j.apm.2012.10.014)
- Ding , F. and Chen , T. 2004 . Combined parameter and output estimation of dual-rate systems using an auxiliary model . Automatica , 40 ( 10 ) : 1739 – 1748 . (doi:10.1016/j.automatica.2004.05.001)
- Ding , F. and Chen , T. 2005 . Hierarchical identification of lifted state-space models for general dual-rate systems . IEEE Trans. Circuits Syst. I Regul. Pap. , 52 ( 6 ) : 1179 – 1187 . (doi:10.1109/TCSI.2005.849144)
- Ding , F. and Chen , T. 2005 . Identification of Hammerstein nonlinear ARMAX systems . Automatica , 41 ( 9 ) : 1479 – 1489 . (doi:10.1016/j.automatica.2005.03.026)
- Ding , F. and Chen , T. 2005 . Parameter estimation of dual-rate stochastic systems by using an output error method . IEEE Trans. Automat. Control , 50 ( 9 ) : 1436 – 1441 . (doi:10.1109/TAC.2005.854654)
- Ding , F. and Chen , T. 2007 . Performance analysis of multi-innovation gradient type identification methods . Automatica , 43 ( 1 ) : 1 – 14 . (doi:10.1016/j.automatica.2006.07.024)
- Ding , F. and Ding , J. 2010 . Least squares parameter estimation with irregularly missing data . Int. J. Adapt. Control Signal Process. , 24 ( 7 ) : 540 – 553 .
- Ding , J. and Ding , F. 2011 . Bias compensation based parameter estimation for output error moving average systems . Int. J. Adapt. Control Signal Process. , 25 ( 12 ) : 1100 – 1111 . (doi:10.1002/acs.1266)
- Ding , F. and Gu , Y. 2012 . Performance analysis of the auxiliary model based least squares identification algorithm for one-step state delay systems . Int. J. Comput. Math. , 89 ( 15 ) : 2019 – 2028 . (doi:10.1080/00207160.2012.698008)
- Ding , F. , Chen , T. and Iwai , Z. 2007 . Adaptive digital control of Hammerstein nonlinear systems with limited output sampling . SIAM J. Control Optim. , 45 ( 6 ) : 2257 – 2276 . (doi:10.1137/05062620X)
- Ding , F. , Shi , Y. and Chen , T. 2007 . Auxiliary model-based least-squares identification methods for Hammerstein output-error systems . Syst. Control Lett. , 56 ( 5 ) : 373 – 380 . (doi:10.1016/j.sysconle.2006.10.026)
- Ding , F. , Liu , X. P. and Ding , J. 2008 . Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle . Appl. Math. Comput. , 197 ( 1 ) : 41 – 50 . (doi:10.1016/j.amc.2007.07.040)
- Ding , F. , Liu , X. P. and Liu , G. 2009 . Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises . Signal Process. , 89 ( 10 ) : 1883 – 1890 . (doi:10.1016/j.sigpro.2009.03.020)
- Ding , F. , Qiu , L. and Chen , T. 2009 . Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems . Automatica , 45 ( 2 ) : 324 – 332 . (doi:10.1016/j.automatica.2008.08.007)
- Ding , F. , Liu , X. P. and Liu , G. 2010 . Gradient based and least-squares based iterative identification methods for OE and OEMA systems . Digit. Signal Process. , 20 ( 3 ) : 664 – 677 . (doi:10.1016/j.dsp.2009.10.012)
- Ding , F. , Liu , G. and Liu , X. P. 2010 . Partially coupled stochastic gradient identification methods for non-uniformly sampled systems . IEEE Trans. Automat. Control , 55 ( 8 ) : 1976 – 1981 . (doi:10.1109/TAC.2010.2050713)
- Ding , J. , Liu , Y. J. and Ding , F. 2010 . Iterative solutions to matrix equations of form AiXBi=Fi . Comput. Math. Appl. , 59 ( 11 ) : 3500 – 3507 . (doi:10.1016/j.camwa.2010.03.041)
- Ding , J. , Ding , F. , Liu , X. P. and Liu , G. 2011 . Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data . IEEE Trans. Automat. Control , 56 ( 11 ) : 2677 – 2683 . (doi:10.1109/TAC.2011.2158137)
- Ding , F. , Liu , X. P. and Liu , G. 2011 . Identification methods for Hammerstein nonlinear systems . Digit. Signal Process. , 21 ( 2 ) : 215 – 238 . (doi:10.1016/j.dsp.2010.06.006)
- Ding , F. , Liu , G. and Liu , X. P. 2011 . Parameter estimation with scarce measurements . Automatica , 47 ( 8 ) : 1646 – 1655 . (doi:10.1016/j.automatica.2011.05.007)
- Ding , F. , Liu , Y. J. and Bao , B. 2012 . Gradient based and least squares based iterative estimation algorithms for multi-input multi-output systems . Proc. Inst. Mech. Eng. I: J. Syst. Control Eng. , 226 ( 1 ) : 43 – 55 . (doi:10.1177/0959651811409491)
- Li , K. , Peng , J. X. and Bai , E. W. 2006 . A two-stage algorithm for identification of nonlinear dynamic systems . Automatica , 42 ( 7 ) : 1189 – 1197 . (doi:10.1016/j.automatica.2006.03.004)
- Li , J. H. , Ding , F. and Yang , G. W. 2012 . Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems . Math. Comput. Model. , 55 ( 3–4 ) : 442 – 450 . (doi:10.1016/j.mcm.2011.08.023)
- Liu , X. and Lu , J. 2006 . Least squares based iterative identification for a class of multirate systems . Automatica , 46 ( 3 ) : 549 – 554 . (doi:10.1016/j.automatica.2010.01.007)
- Liu , Y. J. , Xie , L. and Ding , F. 2009 . An auxiliary model based a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems . Proc. Inst. Mech. Eng. I: J. Syst. Control Eng. , 223 ( 4 ) : 445 – 454 . (doi:10.1243/09596518JSCE686)
- Liu , Y. J. , Xiao , Y. S. and Zhao , X. L. 2009 . Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model . Appl. Math. Comput. , 215 ( 4 ) : 1477 – 1483 . (doi:10.1016/j.amc.2009.07.012)
- Liu , Y. J. , Wang , D. Q. and Ding , F. 2010 . Least squares based iterative algorithms for identifying Box–Jenkins models with finite measurement data . Digit. Signal Process. , 20 ( 5 ) : 1458 – 1467 . (doi:10.1016/j.dsp.2010.01.004)
- Shi , Y. and Fang , H. 2010 . Kalman filter based identification for systems with randomly missing measurements in a network environment . Int. J. Control , 83 ( 3 ) : 538 – 551 . (doi:10.1080/00207170903273987)
- Shi , Y. and Yu , B. 2009 . Output feedback stabilization of networked control systems with random delays modeled by Markov chains . IEEE Trans. Automat. Control , 54 ( 7 ) : 1668 – 1674 . (doi:10.1109/TAC.2009.2020638)
- Smith , J. G. , Kamat , S. and Madhavan , K. P. 2007 . Modeling of pH process using wavenet based Hammerstein model . J. Process Control , 17 ( 6 ) : 551 – 561 . (doi:10.1016/j.jprocont.2006.11.001)
- Wang , D. Q. and Ding , F. 2011 . Least squares based and gradient based iterative identification for Wiener nonlinear systems . Signal Process. , 91 ( 5 ) : 1182 – 1189 . (doi:10.1016/j.sigpro.2010.11.004)
- Wang , D. Q. and Ding , F. 2012 . Hierarchical least squares estimation algorithm for Hammerstein–Wiener systems . IEEE Signal Process. Lett. , 19 ( 12 ) : 825 – 828 . (doi:10.1109/LSP.2012.2221704)
- Wang , D. Q. , Yang , G. W. and Ding , R. F. 2010 . Gradient-based iterative parameter estimation for Box–Jenkins systems . Comput. Math. Appl. , 60 ( 5 ) : 1200 – 1208 . (doi:10.1016/j.camwa.2010.06.001)
- Wang , W. , Ding , F. and Dai , J. Y. 2012 . Maximum likelihood least squares identification for systems with autoregressive moving average noise . Appl. Math. Model. , 36 ( 5 ) : 1842 – 1853 . (doi:10.1016/j.apm.2011.07.083)
- Xie , L. and Yang , H. 2011 . Gradient-based iterative identification for nonuniform sampling output error systems . J. Vib. Control , 17 ( 3 ) : 471 – 478 . (doi:10.1177/1077546310364993)
- Xie , L. , Ding , J. and Ding , F. 2009 . Gradient based iterative solutions for general linear matrix equations . Comput. Math. Appl. , 58 ( 7 ) : 1441 – 1448 . (doi:10.1016/j.camwa.2009.06.047)
- Xie , L. , Liu , Y. J. and Yang , H. Z. 2010 . Gradient based and least squares based iterative algorithms for matrix equations AXB+CXTD=F . Appl. Math. Comput. , 217 ( 5 ) : 2191 – 2199 . (doi:10.1016/j.amc.2010.07.019)
- Xie , L. , Liu , Y. J. and Yang , H. Z. 2010 . Modeling and identification for non-uniformly periodically sampled-data systems . IET Control Theory Appl. , 4 ( 5 ) : 784 – 794 . (doi:10.1049/iet-cta.2009.0064)
- Xie , L. , Yang , H. Z. and Ding , F. 2011 . Recursive least squares parameter estimation for non-uniformly sampled systems based on the data filtering . Math. Comput. Model. , 54 ( 1–2 ) : 315 – 324 . (doi:10.1016/j.mcm.2011.02.014)
- Yan , M. and Shi , Y. 2008 . Robust discrete-time sliding mode control for uncertain systems with time-varying state delay . IET Control Theory Appl. , 2 ( 8 ) : 662 – 674 . (doi:10.1049/iet-cta:20070460)
- Zhang , Y. 2011 . Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods . Math. Comput. Model. , 53 ( 9–10 ) : 1810 – 1819 . (doi:10.1016/j.mcm.2010.12.059)
- Zhang , Y. and Cui , G. M. 2011 . Bias compensation methods for stochastic systems with colored noise . Appl. Math. Model. , 35 ( 4 ) : 1709 – 1716 . (doi:10.1016/j.apm.2010.10.003)
- Zhang , J. B. , Ding , F. and Shi , Y. 2009 . Self-tuning control based on multi-innovation stochastic gradient parameter estimation . Syst. Control Lett. , 58 ( 1 ) : 69 – 75 . (doi:10.1016/j.sysconle.2008.08.005)