- AHMED , M. S. 1986 . Parameter estimation in bilinear systems by instrumental variable methods . International Journal of Control , 44 : 1177 – 1183 .
- BAHETI , R. S. , MOHLER , R. R. and SPANG , H. A. 1980 . Second-order correlation method for bilinear system identification . IEEE Transactions on Automatic Control , 25 : 1141 – 1146 .
- BRUNI , C. , DIPILLO , G. and KOCH , G. 1974 . Bilinear systems: An appealing class of nearly linear systems in theory and applications . IEEE Transactions on Automatic Control , 19 : 334 – 348 .
- CHEN , H. , ZINOBER , A. S. I. and RUAN , R. 1996 . Strong consistency and convergence rate of parameter identification for bilinear systems . International Journal of Control , 63 : 907 – 919 .
- CHENG , B. and HSU , N.-S. 1982 . Analysis and parameter estimation of bilinear systems via block-pulse functions . International Journal of Control , 36 : 53 – 65 .
- DESAI , U. B. 1986 . Realization of bilinear stochastic systems . IEEE Transactions on Automatic Control , 31 : 189 – 192 .
- FAVOREEL , W. 1999 . “ Subspace Methods for Identification and Control of Linear and Bilinear Systems ” . Leuven, , Belgium : Leuven Catholic University . PhD thesis
- FAVOREEL , W. , DE MOOR , B. and VAN OVERSCHEE , P. 1996 . Subspace identification of bilinear systems subject to white inputs. Technical report , Belgium : Leuven Catholic University . ESAT-SISTA/TR 1996-531
- FAVOREEL , W. , DE MOOR , B. and VAN OVERSCHEE , P. 1999 . Subspace identification of bilinear systems subject to white inputs . IEEE Transactions on Automatic Control , 44 : 1157 – 1165 .
- FNAIECH , F. and LJUNG , L. 1987 . Recursive identification of bilinear systems . International Journal of Control , 45 : 453 – 470 .
- GABR , M. M. and RAO , T. S. 1984 . On the identification of bilinear systems from operating records . International Journal of Control , 40 : 121 – 128 .
- GOLUB , G. H. and PEREYRA , V. 1973 . The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate . SIAM Journal of Numerical Analysis , 10 : 413 – 432 .
- GOLUB , G. H. and VAN LOAN , C. F. 1996 . Matrix Computations. , third edition , Baltimore, MD : The Johns Hopkins University Press .
- HABER , R. and UNBEHAUEN , H. 1990 . Structure identification of nonlinear dynamic systems -- a survey on input/output approaches . Automatica , 26 : 651 – 677 .
- HAN , S. , KIM , J. and SUNG , K. 1996 . Extended generalized total least squares method for the identification of bilinear systems . IEEE Transactions on Signal Processing , 44 : 1015 – 1018 .
- HANZON , B. and PEETERS , R. 1997 . Balanced parameterizations of stable SISO all-pass systems in discretetime , Technical report Maastricht University .
- HAYKIN , S. 1999 . Neural Networks: A Comprehensive Foundation , second edition , Upper Saddle River, NJ : Prentice Hall .
- INAGAKI , M. and MOCHIZUKI , H. 1984 . Bilinear system identification by Volterra kernels estimation . IEEE Transactions on Automatic Control , 29 : 746 – 749 .
- ISIDORL , A. 1973 . Direct construction of minimal bilinear realizations from nonlinear input-output maps . IEEE Transactions on Automatic Control , 18 : 626 – 631 .
- KARANAM , V. R. , FRICK , P. A. and MOHLER , R. R. 1978 . Bilinear system identification by Walsh functions . IEEE Transactions on Automatic Control , 23 : 709 – 713 .
- LARIMORE , W. E. System identification, reduced order filters and modelling via canonical variate analysis . Proceedings of the American Control Conference . San Francisco, California, USA. pp. 445 – 451 .
- LAWSON , C. L. and HANSON , R. J. 1995 . Solving Least Squares Problems. , second edition , Philadelphia : SIAM .
- LIU , G. P. and WANG , H. 1993 . An improved recursive identification method for bilinear systems . International Journal of Modelling and Simulation , 13 : 88 – 91 .
- MOHLER , R. R. and KOLODZIEJ , W. J. 1980 . An overview of bilinear system theory and applications . IEEE Transactions on Systems, Man and Cybernetics , 10 : 683 – 688 .
- PRIESTLEY , M. B. 1988 . Non-linear and Non-stationary Time Series Analysis. , London : Academic Press .
- VAN OVERSCHEE , P. and DE MOOR , B. 1996 . Subspace Identification for Linear Systems; Theory, Implementation, Applications , Dordrecht, , The Netherlands : Kluwer Academic Publishers .
- VERDULT , V. and VERHAEGEN , M. Subspace-based identification of MIMO bilinear systems . Proceedings of the European Control Conference . Karlsruhe, Germany.
- VERDULT , V. , VERHAEGEN , M. and CHOU , C. T. Identification of MIMO bilinear state space models using separable least squares . Proceedings of the American Control Conference . San Diego, California, USA. pp. 838 – 842 .
- VERDULT , V. , VERHAEGEN , M. , CHOU , C. T. and LOVERA , M. Efficient and systematic identification of MIMO bilinear state space models . Proceedings of the 37th IEEE Conference on Decision and Control . Tampa, Florida, USA. pp. 1260 – 1265 .
- VERHAEGEN , M. 1987 . “ The minimal residual QR-factorization algorithm for reliably solving subset regression problems ” . In Technical Report NASA TM 100021, NASA , California, , USA : Ames Research Center, Moffett Field .
- VERHAEGEN , M. 1994 . Identification of the deterministic part of MIMO state space models given in innovations form from input-output data . Automatic a , 30 : 61 – 74 .
International Journal of Control
Volume 74, 2001 - Issue 18