References
- Al-Duwaish , H. and Karim , M. N. 1997 b . A new method on the identification of Hammerstein model . Automatica , 33 : 1871 – 1875 .
- Al-Duwaish , H. , Nazmul Karim , M. and Chandrasekar , V. 1997 a . Hammerstein model identification by multiplayer feedforward neural networks . International Journal of Systems Science , 18 : 49 – 54 .
- Billings , S. A. and Fakhouri , S. Y. 1978 a . Theory of separable processes with applications to the identification of non-linear systems . Proceedings of the IEE , 125 : 1051 – 1058 .
- Billings , S. A. and Fakhouri , S. Y. 1978 b . Identification of class of nonlinear systems using correlation analysis . Proceedings of the IEE , 125 : 691 – 697 .
- Billings , S. A. and Fakhouri , S. Y. 1979 . Non-linear system identification using the Hammerstein model . International Journal of Systems Science , 10 : 567 – 578 .
- Billings , S. A. and Fakhouri , S. Y. 1982 . Identification of systems containing linear dynamic and static non-linear elements . Automatica , 18 : 15 – 26 .
- Chang , F. H. I. and Luus , R. 1971 . A noniterative method for identification using Hammerstein model . IEEE Transactions on Automatic Control , 16 : 464 – 468 .
- Chung , H.-Y. and Sun , Y.-Y. 1988 . Analysis and parameter estimation of nonlinear systems with Hammerstein model using Taylor series approach . IEEE Transactions on Circuits Systems , 35 : 1539 – 1540 .
- Eskinat , E. , Johnson , S. H. and Luyben , W. L. 1991 . Use of Hammerstein models in identification of nonlinear systems . AIChE Journal , 37 : 255 – 268 .
- Gallman , P. 1976 . A comparison of two Hammerstein model identification algorithms . IEEE Transactions on Automatic Control , 21 : 124 – 126 .
- Greblicki , W. 1989 . Non-parametric orthogonal series identification of Hammerstein systems . International Journal of Systems Science , 20 : 2355 – 2367 .
- Greblicki , W. and Pawlak , M. 1986 . Identification of discrete Hammerstein systems using kernel regression estimates . IEEE Transactions on Automatic Control , 31 : 74 – 77 .
- Greblicki , W. and Pawlak , M. 1987 . Hammerstein system identification by non-parametric regression estimation . International Journal of Control , 45 : 343 – 354 .
- Haist , N. D. , Chang , F. H. I. and Luus , R. 1973 . Nonlinear identification in the presence of correlated noise using Hammerstein model . IEEE Transactions on Automatic Control , 18 : 552 – 555 .
- Hasiewicz , Z. 1999 . Hammerstein system identification by the Haar multiresolution approximation . International Journal of Adaptive Control and Signal Processing , 13 : 697 – 717 .
- Hasiewicz , Z. 2000 . Modular neural networks for nonlinearity recovering by the Haar approximation . Neural Networks , 13 : 1107 – 1133 .
- Hasiewicz , Z. 2001 . Non-parametric estimation of nonlinearity in a cascade time series system by multiscale approximation . Signal Processing , 81 : 791 – 807 .
- Janczak A. 1995 Identification of a class of non-linear systems using neural networks MMAR’95, Proceedings of the 2nd International Conference on Methods and Models in Automation and Robotics Mie¸dzyzdroje Poland Technical University of Szczecin Press pp. 697–702
- Janczak A. 1997 Recursive identification of Hammerstein systems using recurrent neural models Proceeding of the 3rd Conference on Neural Networks and Their Applications Kule Poland pp. 517–522
- Janczak A. 1998 Gradient descent and recursive least squares learning algorithms for on line identification of Hammerstein systems using recurrent neural network models Proceedings of the International ICSC/IFAC Symp. Neural Computation NC’98 Vienna Austria pp. 565–571
- Korbicz J. Janczak A. 1996 A neural network approach to identification of structural systems Proceedings of the IEEE International Symposium on Industrial Electronics ISIE’96 Warsaw Poland pp. 97–103
- Kung , F.-C. and Shih , D.-H. 1986 . Analysis and identification of Hammerstein model non-linear delay systems using block-pulse function expansions . International Journal of Control , 43 : 141 – 147 .
- Ling , W.-M. and Rivera , D. 1988 . Nonlinear black-box identification of distillation column models—design variable selection for model performance enhancement . Applied Mathematics and Computer Science , 8 : 794 – 813 .
- Ljung L. 1999 System Identification. Theory for the User Upper Saddle River NJ Prentice Hall
- Mak , M. W. , Ku , K. W. and Lu , Y. L. 1999 . On the improvement of the real time recurrent learning algorithm for recurrent neural networks . Neurocomputing , 24 : 13 – 36 .
- Narendra , K. S. and Gallman , P. G. 1996 . An iterative method for the identification of nonlinear systems using Hammerstein model . IEEE Transactions on Automatic Control , 11 : 546 – 550 .
- Narendra , K. S. and Parthasarathy , K. 1990 . Identification and control of dynamical systems using neural networks . IEEE Transactions on Neural Networks , 1 : 4 – 26 .
- Nelles O. 2001 Nonlinear system identification From Classical Apoproaches to Neural Network and Fuzzy Models New York, Berlin, Heidelberg Springer
- Pawlak , W. 1991 . On the series expansion approach to the identification of Hammerstein systems . IEEE Transactions on Automatic Control , 36 : 763 – 767 .
- Pawlak , W. and Hasiewicz , Z. 1998 . Nonlinear system identification by the Haar multiresolution analysis . IEEE Transactions on Circuits and Systems–-I: Fundamental Theory and Applications , 45 : 945 – 961 .
- Pearson , R. K. and Pottmann , M. 2000 . Gray-box identification of block-oriented non-linear models . Journal of Process Control , 10 : 301 – 315 .
- Srinivasan , B. , Prasad , U. R. and Rao , N. J. 1994 . Back propagation through adjoints for the identificaton of nonlinear dynamic systems using recurrent neural models . IEEE Transactions on Neural Networks , 5 : 213 – 228 .
- Stapleton , J. C. and Bass , S. C. 1985 . Adaptive noise concellation for a class of nonlinear systems . IEEE Transaction on Circuits and Systems , 32 : 143 – 150 .
- Su , H.-T. and McAvoy , T. J. 1993 . Integration of multiplayer perceptron network and linear dynamic models: A Hammerstein modeling approach . Industrial and Engineering Chemistry Research , 32 : 1927 – 1936 .
- Vörös , J. 1999 . Iterative algorithm for identification of Hammerstein systems with two-segment nonlinearities . IEEE Transactions on Automatic Control , 44 : 2145 – 2149 .
- Werbos , P. J. 1990 . Backpropagation through time: What it does and how to do it . Proceedings of the IEEE , 78 : 1550 – 1560 .
- Williams , R. J. and Zipser , D. 1989 . A learning algorithm for continually running fully recurrent neural networks . Neural Computations , 1 : 271 – 280 .
- Zi-Qiang , L. 1994 . On identification of controlled plants described by Hammerstein system . IEEE Transactions on Automatic Control , 39 : 569 – 573 .
- Zi-Qiang , L. 1997 . A nonparametric polynomial identification algorithm for the Hammerstein system . IEEE Transactions on Automatic Control , 42 : 1435 – 1441 .