Recursive computational formulas of the least squares criterion functions for scalar system identification

[1]  Graham C. Goodwin,et al.  Adaptive filtering prediction and control , 1984 .

[2]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[3]  Tongwen Chen,et al.  Least squares based self‐tuning control of dual‐rate systems , 2004 .

[4]  Feng Ding,et al.  Iterative least-squares solutions of coupled Sylvester matrix equations , 2005, Syst. Control. Lett..

[5]  Feng Ding,et al.  Hierarchical identification of lifted state-space models for general dual-rate systems , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Feng Ding,et al.  Performance bounds of forgetting factor least-squares algorithms for time-varying systems with finite measurement data , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Feng Ding,et al.  Gradient Based Iterative Algorithms for Solving a Class of Matrix Equations , 2005, IEEE Trans. Autom. Control..

[8]  Feng Ding,et al.  On Iterative Solutions of General Coupled Matrix Equations , 2006, SIAM J. Control. Optim..

[9]  Tongwen Chen,et al.  A GRADIENT BASED ADAPTIVE CONTROL ALGORITHM FOR DUAL‐RATE SYSTEMS , 2006 .

[10]  Feng Ding,et al.  Performance analysis of estimation algorithms of nonstationary ARMA processes , 2006, IEEE Transactions on Signal Processing.

[11]  Feng Ding,et al.  Adaptive Digital Control of Hammerstein Nonlinear Systems with Limited Output Sampling , 2007, SIAM J. Control. Optim..

[12]  Feng Ding,et al.  Performance analysis of multi-innovation gradient type identification methods , 2007, Autom..

[13]  Feng Ding,et al.  A finite-data-window least squares algorithm with a forgetting factor for dynamical modeling , 2007, Appl. Math. Comput..

[14]  Feng Ding,et al.  Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle , 2008, Appl. Math. Comput..

[15]  Mehdi Dehghan,et al.  An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation , 2008, Appl. Math. Comput..

[16]  Yang Shi,et al.  l2–l∞ Filtering for Multirate Systems Based on Lifted Models , 2008 .

[17]  Feng Ding,et al.  Gradient based iterative solutions for general linear matrix equations , 2009, Comput. Math. Appl..

[18]  Feng Ding,et al.  Self-tuning control based on multi-innovation stochastic gradient parameter estimation , 2009, Syst. Control. Lett..

[19]  Feng Ding,et al.  Auxiliary model identification method for multirate multi-input systems based on least squares , 2009, Math. Comput. Model..

[20]  Yang Shi,et al.  Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains , 2009, IEEE Transactions on Automatic Control.

[21]  Feng Ding,et al.  Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises , 2009, Signal Process..

[22]  Yong Zhang,et al.  Computers and Mathematics with Applications , 2022 .

[23]  Yanjun Liu,et al.  Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model , 2009, Appl. Math. Comput..

[24]  Feng Ding,et al.  Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems , 2009, Autom..

[25]  Jie Sheng,et al.  Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems , 2010, Comput. Math. Appl..

[26]  Mehdi Dehghan,et al.  An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices , 2010 .

[27]  Feng Ding,et al.  Several multi-innovation identification methods , 2010, Digit. Signal Process..

[28]  Feng Ding,et al.  Partially Coupled Stochastic Gradient Identification Methods for Non-Uniformly Sampled Systems , 2010, IEEE Transactions on Automatic Control.

[29]  Feng Ding,et al.  Multi-innovation Extended Stochastic Gradient Algorithm and Its Performance Analysis , 2010, Circuits Syst. Signal Process..

[30]  Yanjun Liu,et al.  Gradient based and least squares based iterative algorithms for matrix equations AXB + CXTD = F , 2010, Appl. Math. Comput..

[31]  Feng Ding,et al.  Hierarchical least-squares based iterative identification for multivariable systems with moving average noises , 2010, Math. Comput. Model..

[32]  P. X. Liu,et al.  Multiinnovation Least-Squares Identification for System Modeling , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  Guowei Yang,et al.  Gradient-based iterative parameter estimation for Box-Jenkins systems , 2010, Comput. Math. Appl..

[34]  Yan Zhang,et al.  Auxiliary model based multi-innovation algorithms for multivariable nonlinear systems , 2010, Math. Comput. Model..

[35]  Feng Ding,et al.  Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems , 2010, Math. Comput. Model..

[36]  Feng Ding,et al.  Gradient based and least-squares based iterative identification methods for OE and OEMA systems , 2010, Digit. Signal Process..

[37]  Mehdi Dehghan,et al.  Matrix equations over (R, S)-symmetric and (R, S)-skew symmetric matrices , 2010, Comput. Math. Appl..

[38]  Feng Ding,et al.  Input-output data filtering based recursive least squares identification for CARARMA systems , 2010, Digit. Signal Process..

[39]  Feng Ding,et al.  Iterative solutions to matrix equations of the form AiXBi=Fi , 2010, Comput. Math. Appl..

[40]  Huazhen Fang,et al.  Kalman filter-based identification for systems with randomly missing measurements in a network environment , 2010, Int. J. Control.

[41]  Feng Ding,et al.  Transformations between some special matrices , 2010, Comput. Math. Appl..

[42]  Feng Ding,et al.  A modified stochastic gradient based parameter estimation algorithm for dual-rate sampled-data systems , 2010, Digit. Signal Process..

[43]  Feng Ding,et al.  Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems , 2011, Comput. Math. Appl..

[44]  Ai-Guo Wu,et al.  Finite iterative solutions to coupled Sylvester-conjugate matrix equations , 2011 .

[45]  M. Dehghan,et al.  Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations , 2011 .

[46]  Feng Ding,et al.  Recursive least squares parameter estimation for non-uniformly sampled systems based on the data filtering , 2011, Math. Comput. Model..

[47]  Feng Ding,et al.  Parameter estimation with scarce measurements , 2011, Autom..

[48]  Feng Ding,et al.  Hierarchical Least Squares Identification for Linear SISO Systems With Dual-Rate Sampled-Data , 2011, IEEE Transactions on Automatic Control.

[49]  Yong Zhang,et al.  Bias compensation methods for stochastic systems with colored noise , 2011 .

[50]  Yong Zhang,et al.  Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods , 2011, Math. Comput. Model..

[51]  Feng Ding,et al.  Identification methods for Hammerstein nonlinear systems , 2011, Digit. Signal Process..

[52]  Feng Ding,et al.  Maximum likelihood stochastic gradient estimation for Hammerstein systems with colored noise based on the key term separation technique , 2011, Comput. Math. Appl..

[53]  Feng Ding,et al.  Least squares based and gradient based iterative identification for Wiener nonlinear systems , 2011, Signal Process..

[54]  Jie Ding,et al.  Bias compensation‐based parameter estimation for output error moving average systems , 2011 .

[55]  D. Wang Brief paper: Lleast squares-based recursive and iterative estimation for output error moving average systems using data filtering , 2011 .

[56]  Feng Ding,et al.  Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems , 2012, Math. Comput. Model..

[57]  F. Ding,et al.  Parameter and state estimation algorithm for single-input single-output linear systems using the canonical state space models☆ , 2012 .

[58]  Ruifeng Ding,et al.  Iterative parameter identification methods for nonlinear functions , 2012 .

[59]  Y. Liu,et al.  Gradient-based and least-squares-based iterative estimation algorithms for multi-input multi-output systems , 2012, J. Syst. Control. Eng..

[60]  Jie Jia,et al.  Two-stage recursive least squares parameter estimation algorithm for output error models , 2012, Math. Comput. Model..

[61]  Feng Ding,et al.  Performance analysis of the auxiliary model-based least-squares identification algorithm for one-step state-delay systems , 2012, Int. J. Comput. Math..

[62]  Rui Ding,et al.  Iterative Parameter Estimation for a Class of Multivariable Systems Based on the Hierarchical Identification Principle and the Gradient Search , 2012, Circuits Syst. Signal Process..

[63]  Feng Ding,et al.  Hierarchical Least Squares Estimation Algorithm for Hammerstein–Wiener Systems , 2012, IEEE Signal Processing Letters.

[64]  Feng Ding,et al.  Least squares estimation for a class of non-uniformly sampled systems based on the hierarchical identification principle , 2012, Circuits Syst. Signal Process..

[65]  Ting-Zhu Huang,et al.  LSQR iterative method for generalized coupled Sylvester matrix equations , 2012 .

[66]  Wei Wang,et al.  Maximum likelihood least squares identification for systems with autoregressive moving average noise , 2012 .

[67]  Junxia Ma,et al.  Recursive relations of the criterion functions for the recursive least squares algorithms , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[68]  Feng Ding,et al.  Performance Analysis of the Auxiliary Model-Based Stochastic Gradient Parameter Estimation Algorithm for State-Space Systems with One-Step State Delay , 2013, Circuits Syst. Signal Process..

[69]  Junhong Li,et al.  Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration , 2013, Appl. Math. Lett..

[70]  Feng Ding,et al.  Recursive Relations of the Cost Functions for the Least-Squares Algorithms for Multivariable Systems , 2013, Circuits Syst. Signal Process..

[71]  F. Ding Coupled-least-squares identification for multivariable systems , 2013 .

[72]  Feng Ding,et al.  Decomposition based fast least squares algorithm for output error systems , 2013, Signal Process..

[73]  F. Ding Two-stage least squares based iterative estimation algorithm for CARARMA system modeling ☆ , 2013 .

[74]  F. Ding Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling , 2013 .

[75]  J. Chu,et al.  Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle , 2013 .