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Billings, Stephen A.

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Author ID: billings.stephen-a Recent zbMATH articles by "Billings, Stephen A."
Published as: Billings, S.; Billings, S. A.; Billings, Stephen A.; Billings, Stephen. A.
Homepage: https://www.sheffield.ac.uk/acse/staff/sab
External Links: Wikidata · dblp
Documents Indexed: 204 Publications since 1979, including 4 Books
all top 5

Co-Authors

2 single-authored
25 Guo, Lingzhong
24 Coca, Daniel
20 Wei, Hualiang
19 Lang, Ziqiang
18 Chen, Sheng
16 Lang, Zhiqiang
14 Guo, Yuzhu
10 Jing, Xingjian
10 Tsang, Kai Ming
10 Zhao, Yifan
9 Aguirre, Luis Antonio
9 Zhu, Quanmin
6 Fakhouri, S. Y.
6 Kadirkamanathan, Visakan
5 Leontaritis, I. J.
5 Li, Liuming
5 Owens, David Howard
5 Voon, W. S. F.
4 Jones, J. C. Peyton
4 Mao, Kezhi
3 Balikhin, Michael A.
3 El-Ghezawi, O. M. E.
3 Korenberg, Michael J.
3 Luo, Wenting
3 Mendes, Eduardo M. A. M.
3 Pan, Yiheng
3 Ristic, Rile I.
3 Tomlinson, Geoffrey R.
3 Wu, Xiaofeng
3 Yue, Rong
3 Zinober, Alan Solon Ivor
2 Boaghe, Otilia M.
2 Cowan, Colin F. N.
2 Dematos, L. L.
2 Grant, Paul M.
2 Grant, Peter M.
2 Harris, Chris J.
2 Lee, Kwi Lim
2 Liu, Jinwang
2 Mei, Shuaishuai
2 Peng, Zhike
2 Routh, Alexander F.
2 Zhang, Huabo
2 Zheng, Yueyang
1 Alturki, F. A.
1 Anderson, Sean R.
1 Chadwick, M. A.
1 Chang, Hui-Chen
1 Cheng, Shan-Jen
1 De Matos, Lucy L.
1 Dougherty, Andrew
1 Gray, John O.
1 Guo, Hongmei
1 Guo, Huimin
1 Haynes, B. R.
1 He, Fei
1 Hong, Xue
1 Jamaluddin, H. B.
1 Jones, G. N.
1 Krishnanathan, Kirubhakaran
1 Kung, I-Chung
1 Lee, Kean Loon
1 Lee, Kuoliang
1 Li, Jinge
1 Li, Lianming
1 Li, Shaoyuan
1 Li, Yang
1 Liu, Gao-Ping
1 Liu, Guangping
1 Liu, Guiping
1 Liu, Guopin
1 Liu, Jui-Jung
1 Liu, Yipeng
1 Luo, Wenfei
1 McIlroy, P. J.
1 Meng, Guang
1 Sales, K. R.
1 Sarrigiannis, P. G.
1 Shen, Jianxin
1 Swain, Anjan Kumar
1 Tao, Qinghua
1 Wang, Shu
1 Wang, Yongji
1 Wormald, C. N.
1 Yusof, M. I.
1 Zhang, Bin
1 Zhao, Dongya
1 Zheng, Guilin
1 Zheng, Guiling
1 Zheng, Guoliang
1 Zheng, Yujiao
1 Zhu, Daqi
1 Zhu, Zeqi

Publications by Year

Citations contained in zbMATH

171 Publications have been cited 1,857 times in 792 Documents Cited by Year
Orthogonal least squares methods and their application to non-linear system identification. Zbl 0686.93093
Chen, S.; Billings, S. A.; Luo, W.
128
1989
Input-output parametric models for non-linear systems. I: deterministic non-linear systems. Zbl 0569.93011
Leontaritis, I. J.; Billings, S. A.
120
1985
Representations of nonlinear systems: The NARMAX model. Zbl 0674.93009
Chen, S.; Billings, S. A.
74
1989
Identification of systems containing linear dynamic and static nonlinear elements. Zbl 0472.93067
Billings, S. A.; Fakhouri, S. Y.
60
1982
Orthogonal parameter estimation algorithm for non-linear stochastic systems. Zbl 0647.93062
Korenberg, M.; Billings, S. A.; Liu, Y. P.; McIlroy, P. J.
59
1988
Nonlinear system identification. NARMAX methods in the time, frequency, and spatio-temporal domains. Zbl 1287.93101
Billings, Stephen A.
54
2013
Input-output parametric models for nonlinear systems. II: Stochastic nonlinear systems. Zbl 0569.93012
Leontaritis, I. J.; Billings, S. A.
52
1985
Non-linear system identification using neural networks. Zbl 0703.93071
Chen, Sheng; Billings, S. A.; Grant, P. M.
42
1990
Mapping non-linear integro-differential equations into the frequency domain. Zbl 0721.93041
Billings, S. A.; Peyton Jones, J. C.
39
1990
Recursive algorithm for computing the frequency response of a class of non-linear difference equation models. Zbl 0686.93086
Peyton Jones, J. C.; Billings, S. A.
39
1989
Analysis and design of variable structure systems using a geometric approach. Zbl 0538.93035
El-Ghezawi, O. M. E.; Zinober, A. S. I.; Billings, S. A.
38
1983
A prediction-error and stepwise-regression estimation algorithm for non- linear systems. Zbl 0597.93058
Billings, S. A.; Voon, W. S. F.
35
1986
Identification of non-linear output-affine systems using an orthogonal least-squares algorithm. Zbl 0669.93015
Billings, S. A.; Korenberg, M. J.; Chen, S.
34
1988
Retrieving dynamical invariants from chaotic data using NARMAX models. Zbl 0886.58100
Aguirre, Luis Antonio; Billings, S. A.
31
1995
Neural networks for nonlinear dynamic system modelling and identification. Zbl 0764.93021
Chen, S.; Billings, S. A.
29
1992
Output frequency characteristics of nonlinear systems. Zbl 0860.93023
Lang, Ziqiang; Billings, S. A.
27
1996
Non-linear system identification using the Hammerstein model. Zbl 0452.93012
Billings, S. A.; Fakhouri, S. Y.
26
1979
Nonlinear model validation using correlation tests. Zbl 0813.93012
Billings, S. A.; Zhu, Q. M.
24
1994
Dynamical effects of overparametrization in nonlinear models. Zbl 0888.58060
Aguirre, Luis Antonio; Billings, S. A.
23
1995
Identification of nonlinear rational systems using a prediction-error estimation algorithm. Zbl 0674.93066
Billings, S. A.; Chen, S.
22
1989
Validating identified nonlinear models with chaotic dynamics. Zbl 0876.58028
Aguirre, Luis A.; Billings, S. A.
21
1994
Practical identification of NARMAX models using radial basis functions. Zbl 0707.93075
Chen, Sheng; Billings, S. A.; Cowan, C. F. N.; Grant, P. M.
21
1990
Spectral analysis for nonlinear systems. I: Parametric nonlinear spectral analysis. Zbl 0682.93032
Billings, S. A.; Tsang, K. M.
20
1989
Properties of neural networks with application to modelling non-linear dynamical systems. Zbl 0742.93001
Billings, S. A.; Jamaluddin, H. B.; Chen, S.
19
1992
Extended model set, global data and threshold model identification of severely non-linear systems. Zbl 0686.93092
Billings, S. A.; Chen, S.
19
1989
Output frequency response function of nonlinear Volterra systems. Zbl 1117.93047
Lang, Z. Q.; Billings, S. A.; Yue, R.; Li, J.
18
2007
Improved structure selection for nonlinear models based on term clustering. Zbl 0837.93009
Aguirre, Luis A.; Billings, S. A.
18
1995
Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator. Zbl 0683.93074
Billings, S. A.; Chen, S.; Korenberg, M. J.
18
1989
Recursive hybrid algorithm for non-linear system identification using radial basis function networks. Zbl 0757.93015
Chen, S.; Billings, S. A.; Grant, P. M.
17
1992
Term and variable selection for nonlinear system identification. Zbl 1050.93506
Wei, H. L.; Billings, S. A.; Liu, J.
16
2004
Identification of coupled map lattice models of complex spatio-temporal patterns. Zbl 0971.37022
Coca, D.; Billings, S. A.
15
2001
Algorithms for minimal model structure detection in nonlinear dynamic system identification. Zbl 0889.93017
Mao, K. Z.; Billings, S. A.
15
1997
Discrete wavelet models for identification and qualitative analysis of chaotic systems. Zbl 0955.93502
Billings, S. A.; Coca, D.
14
1999
Model validation tests for multivariable nonlinear models including neural networks. Zbl 0835.93003
Billings, S. A.; Zhu, Q. M.
14
1995
Rational model identification using an extended least-squares algorithm. Zbl 0728.93084
Billings, S. A.; Zhu, Q. M.
14
1991
Non-linear systems identification using radial basis functions. Zbl 0706.93074
Chen, Sheng; Billings, S. A.; Cowan, C. F. N.; Grant, P. M.
14
1990
Spectral analysis for nonlinear systems. II: Interpretation of nonlinear frequency response functions. Zbl 0699.93040
Billings, S. A.; Tsang, K. M.
14
1989
Structure detection and model validity tests in the identification of nonlinear systems. Zbl 0513.93053
Billings, S. A.; Voon, W. S. F.
14
1983
Output frequencies of nonlinear systems. Zbl 0886.93042
Lang, Zi-Qiang; Billings, S. A.
13
1997
Piecewise linear identification of nonlinear systems. Zbl 0615.93070
Billings, S. A.; Voon, W. S. F.
13
1987
Correlation based model validity tests for nonlinear models. Zbl 0589.93066
Billings, S. A.; Voon, W. S. F.
13
1986
The parametric characteristic of frequency response functions for nonlinear systems. Zbl 1125.93048
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.; Tomlinson, Geofrey R.
12
2006
Generalized frequency response function matrix for MIMO nonlinear systems. Zbl 1038.93066
Swain, A. K.; Billings, S. A.
12
2001
Fast orthogonal identification of nonlinear stochastic models and radial basis function neural networks. Zbl 0858.93069
Zhu, Q. M.; Billings, S. A.
12
1996
Continuous-time system identification for linear and nonlinear systems using wavelet decompositions. Zbl 0925.93153
Coca, D.; Billings, S. A.
11
1997
Effects of the sampling time on the dynamics and identification of nonlinear models. Zbl 0925.93581
Billings, S. A.; Aguirre, Luis Antonio
11
1995
Fast sampling and stability of nonlinear sampled-data systems. I: Existence theorems. Zbl 0717.93041
Owens, D. H.; Zheng, Y.; Billings, S. A.
11
1990
An investigation into the characteristics of nonlinear frequency response functions. I: Understanding the higher dimensional frequency spaces. Zbl 1121.93030
Yue, R.; Billings, S. A.; Lang, Z.-Q.
10
2005
Energy transfer properties of non-linear systems in the frequency domain. Zbl 1088.93012
Lang, Z. Q.; Billings, S. A.
10
2005
Identification of finite-dimensional models of infinite-dimensional dynamical systems. Zbl 1011.93026
Coca, Daniel; Billings, Stephen A.
10
2002
Interpolation of nonlinear frequency response functions. Zbl 0708.93035
Peyton Jones, J. C.; Billings, S. A.
10
1990
Least squares parameter estimation algorithms for non-linear systems. Zbl 0567.93062
Billings, S. A.; Voon, W. S. F.
10
1984
Identification of non-linear systems using correlation analysis and pseudorandom inputs. Zbl 0447.93049
Billings, S. A.; Fakhouri, S. Y.
10
1980
Review of rational (total) nonlinear dynamic system modelling, identification, and control. Zbl 1332.93047
Zhu, Quanmin; Wang, Yongji; Zhao, Dongya; Li, Shaoyuan; Billings, Stephen A.
9
2015
The wavelet-NARMAX representation: a hybrid model structure combining polynomial models with multiresolution wavelet decompositions. Zbl 1068.93004
Billings, S. A.; Wei, H. L.
9
2005
Identification and reconstruction of chaotic systems using multiresolution wavelet decompositions. Zbl 1085.93022
Wei, H. L.; Billings, S. A.
9
2004
Nonlinear system identification using wavelet multiresolution models. Zbl 1024.93061
Coca, D.; Billings, S. A.
9
2001
A structure detection algorithm for nonlinear dynamic rational models. Zbl 0825.93762
Billings, S. A.; Zhu, Q. M.
9
1994
Modelling and analysis of non-linear time series. Zbl 0694.93090
Chen, S.; Billings, S. A.
9
1989
Generalized multiscale radial basis function networks. Zbl 1254.68197
Billings, Stephen A.; Wei, Hua-Liang; Balikhin, Michael A.
8
2007
New bound characteristics of NARX model in the frequency domain. Zbl 1115.93066
Jing, X. J.; Lang, Z. Q.; Billings, S. A.
8
2007
Nonlinear systems in the frequency domain: Energy transfer filters. Zbl 1038.93064
Billings, S. A.; Lang, Zi-Qiang
8
2002
Prediction-error estimation algorithm for non-linear output-affine systems. Zbl 0632.93070
Chen, S.; Billings, S. A.
8
1988
Computation of the zeros and zero directions of linear multivariable systems. Zbl 0491.93028
El-Ghezawi, O. M. E.; Zinober, A. S. I.; Owens, D. H.; Billings, S. A.
8
1982
Predictive control for nonlinear systems using neural networks. Zbl 0948.90053
Liu, G. P.; Kadirkamanathan, V.; Billings, S. A.
7
1998
Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering. Zbl 0888.93015
Aguirre, Luis Antonio; Billings, S. A.
7
1995
Model validity tests for non-linear signal processing applications. Zbl 0734.62089
Billings, S. A.; Tao, Q. H.
7
1991
Experimental design and identifiability for non-linear systems. Zbl 0619.93066
Leontaritis, I. J.; Billings, S. A.
7
1987
Model selection and validation methods for nonlinear systems. Zbl 0617.93069
Leontaritis, I. J.; Billings, S. A.
7
1987
Self-tuning and adaptive control: theory and applications. Zbl 0497.00019
Harris, C. J. (ed.); Billings, S. A. (ed.)
7
1981
An iterative orthogonal forward regression algorithm. Zbl 1312.93108
Guo, Yuzhu; Guo, L. Z.; Billings, S. A.; Wei, Hua-Liang
6
2015
An adaptive orthogonal search algorithm for model subset selection and non-linear system identification. Zbl 1152.93343
Billings, S. A.; Wei, H. L.
6
2008
Identification of time-varying systems using multiresolution wavelet models. Zbl 1092.93012
Wei, Hua-Liang; Billings, S. A.
6
2002
Continuous time nonlinear system identification in the frequency domain. Zbl 1010.93030
Li, L. M.; Billings, S. A.
6
2001
Direct parameter identification of distributed parameter systems. Zbl 1080.93531
Coca, D.; Billings, S. A.
6
2000
Evaluation of output frequency responses of nonlinear systems under multiple inputs. Zbl 0980.93050
Lang, Zi-Qiang; Billings, S. A.
6
2000
Givens rotation based fast backward elimination algorithm for RBF neural network pruning. Zbl 0885.93025
Hong, X.; Billings, S. A.
6
1997
A bound for the magnitude characteristics of nonlinear ouput frequency response functions. I: Analysis and computation. Zbl 0870.93031
Billings, S. A.; Lang, Zi-Qiang
6
1996
Frequency response functions for nonlinear rational models. Zbl 0828.93041
Zhang, H.; Billings, S. A.; Zhu, Q. M.
6
1995
Parameter estimation for stochastic nonlinear rational models. Zbl 0782.62084
Zhu, Q. M.; Billings, S. A.
6
1993
Fast sampling and stability of nonlinear sampled-data systems. II: Sampling rate estimators. Zbl 0717.93042
Zheng, Y.; Owens, D. H.; Billings, S. A.
6
1990
Volterra series approximation of a class of nonlinear dynamical systems using the Adomian decomposition method. Zbl 1281.37027
Guo, Yuzhu; Guo, L. Z.; Billings, S. A.; Coca, Daniel; Lang, Z. Q.
5
2013
Mapping from parametric characteristics to generalized frequency response functions of non-linear systems. Zbl 1152.93429
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
5
2008
Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. Zbl 1152.93428
Jing, X. J.; Lang, Z. Q.; Billings, S. A.
5
2008
A unified wavelet-based modelling framework for nonlinear system identification: the WANARX model structure. Zbl 1143.93312
Wei, H. L.; Billings, S. A.
5
2004
Multi-directional model validity tests for nonlinear system identification. Zbl 1028.93029
Mao, K. Z.; Billings, S. A.
5
2000
Neural network-based variable structure control for nonlinear discrete systems. Zbl 1015.93504
Liu, G. P.; Kadirkamanathan, V.; Billings, S. A.
5
1999
Decomposition of generalized frequency response functions for nonlinear systems using symbolic computation. Zbl 0870.93033
Billings, S. A.; Yusof, M. I.
5
1996
Gain bounds of higher-order nonlinear transfer functions. Zbl 0860.93013
Zhang, H.; Billings, S. A.
5
1996
Discrete reconstruction of strange attractors of Chua’s circuit. Zbl 0900.70335
Aguirre, Luis A.; Billings, S. A.
5
1994
Self-tuning control of non-linear ARMAX models. Zbl 0708.93089
Sales, K. R.; Billings, S. A.
5
1990
Identification of non-linear \(S_m\) systems. Zbl 0422.93095
Billings, S. A.; Fakhouri, S. Y.
5
1979
Magnitude bounds of generalized frequency response functions for nonlinear Volterra systems described by NARX model. Zbl 1283.93194
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
4
2008
Identification and analysis of spatio-temporal dynamical systems using wavelets. Zbl 1168.93332
Guo, L. Z.; Billings, S. A.
4
2008
The identification of complex spatiotemporal patterns using coupled map lattice models. Zbl 1147.37305
Pan, Y.; Billings, S. A.
4
2008
Wavelet based non-parametric NARX models for nonlinear input-output system identification. Zbl 1129.93361
Wei, H. L.; Billings, S. A.; Balikhin, M. A.
4
2006
Identification of coupled map lattice models for spatio-temporal patterns using wavelets. Zbl 1109.92001
Billings, S. A.; Guo, L. Z.; Wei, H. L.
4
2006
Identification of coupled map lattice models of stochastic spatio-temporal dynamics using wavelets. Zbl 1072.93028
Guo, L. Z.; Billings, S. A.
4
2004
Subharmonic oscillation modeling and MISO Volterra series. Zbl 1368.94174
Boaghe, Otilia M.; Billings, Stephen A.
4
2003
Time series prediction using support vector machines, the orthogonal and the regularized orthogonal least-squares algorithms. Zbl 1013.93055
Lee, K. L.; Billings, S. A.
4
2002
Computational system identification of continuous-time nonlinear systems using approximate Bayesian computation. Zbl 1346.93389
Krishnanathan, Kirubhakaran; Anderson, Sean R.; Billings, Stephen A.; Kadirkamanathan, Visakan
2
2016
Identification of nonlinear time-varying systems using an online sliding-window and common model structure selection (CMSS) approach with applications to EEG. Zbl 1345.93160
Li, Yang; Wei, Hua-Liang; Billings, Stephen. A.; Sarrigiannis, P. G.
1
2016
Review of rational (total) nonlinear dynamic system modelling, identification, and control. Zbl 1332.93047
Zhu, Quanmin; Wang, Yongji; Zhao, Dongya; Li, Shaoyuan; Billings, Stephen A.
9
2015
An iterative orthogonal forward regression algorithm. Zbl 1312.93108
Guo, Yuzhu; Guo, L. Z.; Billings, S. A.; Wei, Hua-Liang
6
2015
Identification and frequency domain analysis of non-stationary and nonlinear systems using time-varying NARMAX models. Zbl 1332.93356
He, Fei; Wei, Hua-Liang; Billings, Stephen A.
1
2015
A parametric frequency response method for non-linear time-varying systems. Zbl 1317.93183
Guo, Yuzhu; Guo, L. Z.; Billings, S. A.; Coca, Daniel; Lang, Z. Q.
1
2014
A spatial frequency domain analysis of the Belousov-Zhabotinsky reaction. Zbl 1296.93120
Guo, Lingzhong; Guo, Yuzhu; Zhao, Yifan; Billings, Stephen A.; Coca, Daniel; Lang, Zhiqiang
1
2014
Nonlinear system identification. NARMAX methods in the time, frequency, and spatio-temporal domains. Zbl 1287.93101
Billings, Stephen A.
54
2013
Volterra series approximation of a class of nonlinear dynamical systems using the Adomian decomposition method. Zbl 1281.37027
Guo, Yuzhu; Guo, L. Z.; Billings, S. A.; Coca, Daniel; Lang, Z. Q.
5
2013
The use of Volterra series in the analysis of the nonlinear Schrödinger equation. Zbl 1281.35074
Guo, L. Z.; Guo, Y. Z.; Billings, S. A.; Coca, D.; Lang, Z. Q.
3
2013
A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions. Zbl 1259.93068
Guo, L. Z.; Guo, Y. Z.; Billings, S. A.; Coca, D.; Lang, Z. Q.
2
2013
A Volterra series approach to the frequency domain analysis of non-linear viscous Burgers’ equation. Zbl 1268.93105
Guo, L. Z.; Guo, Y. Z.; Billings, S. A.; Coca, D.; Lang, Z. Q.
3
2012
Nonlinear influence in the frequency domain: alternating series. Zbl 1215.93061
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
2
2011
Bayesian identification of stochastic linear systems with observations at multiple scales. Zbl 1230.93093
Guo, L. Z.; Billings, S. A.; Coca, D.; Balikhin, M.
1
2011
Spatio-temporal modeling of wave formation in an excitable chemical medium based on a revised FitzHugh – Nagumo model. Zbl 1210.35294
Zhao, Y.; Billings, S. A.; Guo, Y.; Coca, D.; Dematos, L. L.; Ristic, R. I.
1
2011
Identification of excitable media using a scalar coupled map lattice model. Zbl 1196.93018
Guo, Yuzhu; Zhao, Yifan; Billings, S. A.; Coca, Daniel; Ristic, R. I.; Dematos, L. L.
2
2010
Identification of partial differential equation models for a class of multiscale spatio-temporal dynamical systems. Zbl 1184.93034
Guo, L. Z.; Billings, S. A.; Coca, D.
1
2010
Frequency-dependent magnitude bounds of the generalized frequency response functions for NARX model. Zbl 1298.93235
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
3
2009
Suppressing resonant vibrations using nonlinear springs and dampers. Zbl 1273.70067
Zhang, Bin; Billings, Stephen A.; Lang, Zi-Qiang; Tomlinson, Geoffrey R.
3
2009
Parametric characteristic analysis for generalized frequency response functions of nonlinear systems. Zbl 1175.93153
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
3
2009
Improved parameter estimates for non-linear dynamical models using a bootstrap method. Zbl 1175.93220
Wei, H. L.; Billings, S. A.
2
2009
Improved model identification for non-linear systems using a random subsampling and multifold modelling (RSMM) approach. Zbl 1154.93441
Wei, H. L.; Billings, S. A.
2
2009
Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric characteristics. Zbl 1152.93044
Jing, Xingjian; Lang, Ziqiang; Billings, Stephen A.
2
2009
Identification of multiscale spatio-temporal dynamical systems using a wavelet multiresolution analysis. Zbl 1292.93136
Guo, L. Z.; Billings, S. A.; Coca, D.
1
2009
Power-law behaviour evaluation from foreign exchange market data using a wavelet transform method. Zbl 1233.91109
Wei, H. L.; Billings, S. A.
1
2009
An adaptive orthogonal search algorithm for model subset selection and non-linear system identification. Zbl 1152.93343
Billings, S. A.; Wei, H. L.
6
2008
Mapping from parametric characteristics to generalized frequency response functions of non-linear systems. Zbl 1152.93429
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
5
2008
Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. Zbl 1152.93428
Jing, X. J.; Lang, Z. Q.; Billings, S. A.
5
2008
Magnitude bounds of generalized frequency response functions for nonlinear Volterra systems described by NARX model. Zbl 1283.93194
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.
4
2008
Identification and analysis of spatio-temporal dynamical systems using wavelets. Zbl 1168.93332
Guo, L. Z.; Billings, S. A.
4
2008
The identification of complex spatiotemporal patterns using coupled map lattice models. Zbl 1147.37305
Pan, Y.; Billings, S. A.
4
2008
An extended orthogonal forward regression algorithm for system identification using entropy. Zbl 1152.93507
Guo, L. Z.; Billings, S. A.; Zhu, D. Q.
3
2008
Generalized cellular neural networks (GCNNs) constructed using particle swarm optimization for spatio-temporal evolutionary pattern identification. Zbl 1165.68437
Wei, H. L.; Billings, S. A.
2
2008
Output frequency response function of nonlinear Volterra systems. Zbl 1117.93047
Lang, Z. Q.; Billings, S. A.; Yue, R.; Li, J.
18
2007
Generalized multiscale radial basis function networks. Zbl 1254.68197
Billings, Stephen A.; Wei, Hua-Liang; Balikhin, Michael A.
8
2007
New bound characteristics of NARX model in the frequency domain. Zbl 1115.93066
Jing, X. J.; Lang, Z. Q.; Billings, S. A.
8
2007
Identification of excitable media using cellular automata models. Zbl 1117.37044
Zhao, Y.; Billings, S. A.; Routh, Alexander F.
3
2007
Analysis of output frequencies of nonlinear systems. Zbl 1390.93556
Wu, Xiaofeng; Lang, Z. Q.; Billings, S. A.
1
2007
State-space reconstruction and spatio-temporal prediction of lattice dynamical systems. Zbl 1366.93124
Guo, Lingzhong; Billings, Stephen A.
1
2007
Model validation of spatiotemporal systems using correlation functions test. Zbl 1148.37042
Pan, Y.; Billings, S. A.
1
2007
Identification of the Belousov-Zhabotinskii reaction using cellular automata models. Zbl 1136.92017
Zhao, Y.; Billings, S. A.; Routh, Alexander F.
1
2007
A modified orthogonal forward regression least-squares algorithm for system modelling from noisy regressors. Zbl 1120.93018
Guo, L.; Billings, S. A.
1
2007
The parametric characteristic of frequency response functions for nonlinear systems. Zbl 1125.93048
Jing, Xing Jian; Lang, Zi Qiang; Billings, Stephen A.; Tomlinson, Geofrey R.
12
2006
Wavelet based non-parametric NARX models for nonlinear input-output system identification. Zbl 1129.93361
Wei, H. L.; Billings, S. A.; Balikhin, M. A.
4
2006
Identification of coupled map lattice models for spatio-temporal patterns using wavelets. Zbl 1109.92001
Billings, S. A.; Guo, L. Z.; Wei, H. L.
4
2006
Analysis of fast-sampled non-linear systems: generalised frequency response functions for \(\delta \)-operator models. Zbl 1172.94382
Chadwick, M. A.; Kadirkamanathan, V.; Billings, S. A.
3
2006
Estimation of spatial derivatives and identification of continuous spatio-temporal dynamical systems. Zbl 1125.93333
Guo, L. Z.; Billings, S. A.; Wei, H. L.
3
2006
Generalized frequency response functions and output response synthesis for MIMO nonlinear systems. Zbl 1122.93058
Li, L. M.; Billings, S. A.
1
2006
A new method for the design of energy transfer filters. Zbl 1330.93232
Wu, X.; Lang, Z. Q.; Billings, S. A.
1
2006
An investigation into the characteristics of nonlinear frequency response functions. I: Understanding the higher dimensional frequency spaces. Zbl 1121.93030
Yue, R.; Billings, S. A.; Lang, Z.-Q.
10
2005
Energy transfer properties of non-linear systems in the frequency domain. Zbl 1088.93012
Lang, Z. Q.; Billings, S. A.
10
2005
The wavelet-NARMAX representation: a hybrid model structure combining polynomial models with multiresolution wavelet decompositions. Zbl 1068.93004
Billings, S. A.; Wei, H. L.
9
2005
An investigation into the characteristics of nonlinear frequency response functions. II: New analysis methods based on symbolic expansions and graphical techniques. Zbl 1122.93037
Yue, Rong; Billings, S. A.; Lang, Z.-Q.
2
2005
A new fast cellular automata orthogonal least-squares identification method. Zbl 1121.93049
Billings, S. A.; Mei, S. S.
1
2005
Discrete time subharmonic modelling and analysis. Zbl 1090.93003
Li, L. M.; Billings, S. A.
1
2005
Term and variable selection for nonlinear system identification. Zbl 1050.93506
Wei, H. L.; Billings, S. A.; Liu, J.
16
2004
Identification and reconstruction of chaotic systems using multiresolution wavelet decompositions. Zbl 1085.93022
Wei, H. L.; Billings, S. A.
9
2004
A unified wavelet-based modelling framework for nonlinear system identification: the WANARX model structure. Zbl 1143.93312
Wei, H. L.; Billings, S. A.
5
2004
Identification of coupled map lattice models of stochastic spatio-temporal dynamics using wavelets. Zbl 1072.93028
Guo, L. Z.; Billings, S. A.
4
2004
Subharmonic oscillation modeling and MISO Volterra series. Zbl 1368.94174
Boaghe, Otilia M.; Billings, Stephen A.
4
2003
Analysis and reconstruction of stochastic coupled map lattice models. Zbl 1028.60035
Coca, Daniel; Billings, Stephen A.
3
2003
A new direct approach of computing multi-step ahead predictions for nonlinear models. Zbl 1047.93046
Lee, K. L.; Billings, S. A.
2
2003
Identification of finite-dimensional models of infinite-dimensional dynamical systems. Zbl 1011.93026
Coca, Daniel; Billings, Stephen A.
10
2002
Nonlinear systems in the frequency domain: Energy transfer filters. Zbl 1038.93064
Billings, S. A.; Lang, Zi-Qiang
8
2002
Identification of time-varying systems using multiresolution wavelet models. Zbl 1092.93012
Wei, Hua-Liang; Billings, S. A.
6
2002
Time series prediction using support vector machines, the orthogonal and the regularized orthogonal least-squares algorithms. Zbl 1013.93055
Lee, K. L.; Billings, S. A.
4
2002
Effects of overparametrization in nonlinear system identification and neural networks. Zbl 1021.93007
Zheng, G. L.; Billings, S. A.
1
2002
Identification of coupled map lattice models of complex spatio-temporal patterns. Zbl 0971.37022
Coca, D.; Billings, S. A.
15
2001
Generalized frequency response function matrix for MIMO nonlinear systems. Zbl 1038.93066
Swain, A. K.; Billings, S. A.
12
2001
Nonlinear system identification using wavelet multiresolution models. Zbl 1024.93061
Coca, D.; Billings, S. A.
9
2001
Continuous time nonlinear system identification in the frequency domain. Zbl 1010.93030
Li, L. M.; Billings, S. A.
6
2001
Direct parameter identification of distributed parameter systems. Zbl 1080.93531
Coca, D.; Billings, S. A.
6
2000
Evaluation of output frequency responses of nonlinear systems under multiple inputs. Zbl 0980.93050
Lang, Zi-Qiang; Billings, S. A.
6
2000
Multi-directional model validity tests for nonlinear system identification. Zbl 1028.93029
Mao, K. Z.; Billings, S. A.
5
2000
Nonlinear system identification using wavelet networks. Zbl 1080.93577
Liu, G. P.; Billings, S. A.; Kadirkamanathan, V.
4
2000
Reconstruction of linear and non-linear continuous-time system models from input/output data using the kernel invariance algorithm. Zbl 1237.93175
Billings, S. A.; Li, L. M.
2
2000
Dynamic wavelet and equivalent models. Zbl 1293.93537
Boaghe, O. M.; Billings, S. A.
1
2000
Discrete wavelet models for identification and qualitative analysis of chaotic systems. Zbl 0955.93502
Billings, S. A.; Coca, D.
14
1999
Neural network-based variable structure control for nonlinear discrete systems. Zbl 1015.93504
Liu, G. P.; Kadirkamanathan, V.; Billings, S. A.
5
1999
Qualitative validation and generalization in non-linear system identification. Zbl 0941.93511
Zheng, G. L.; Billings, S. A.
4
1999
An enhanced sequential fuzzy clustering algorithm. Zbl 1113.62334
Zheng, G. L.; Billings, S. A.
2
1999
A regularized rational model estimation algorithm. Zbl 1049.93523
Mao, K. Z.; Billings, S. A.; Zhu, Q. M.
1
1999
Predictive control for nonlinear systems using neural networks. Zbl 0948.90053
Liu, G. P.; Kadirkamanathan, V.; Billings, S. A.
7
1998
On overparametrization of nonlinear discrete systems. Zbl 0933.37055
Mendes, Eduardo M. A. M.; Billings, S. A.
4
1998
Algorithms for minimal model structure detection in nonlinear dynamic system identification. Zbl 0889.93017
Mao, K. Z.; Billings, S. A.
15
1997
Output frequencies of nonlinear systems. Zbl 0886.93042
Lang, Zi-Qiang; Billings, S. A.
13
1997
Continuous-time system identification for linear and nonlinear systems using wavelet decompositions. Zbl 0925.93153
Coca, D.; Billings, S. A.
11
1997
Givens rotation based fast backward elimination algorithm for RBF neural network pruning. Zbl 0885.93025
Hong, X.; Billings, S. A.
6
1997
On identifying global nonlinear discrete models from chaotic data. Zbl 0976.93501
Mendes, Eduardo M. A. M.; Billings, S. A.
4
1997
Truncation of nonlinear system expansions in the frequency domain. Zbl 0895.93031
Billings, S. A.; Lang, Zi-Qiang
4
1997
Output frequency characteristics of nonlinear systems. Zbl 0860.93023
Lang, Ziqiang; Billings, S. A.
27
1996
Fast orthogonal identification of nonlinear stochastic models and radial basis function neural networks. Zbl 0858.93069
Zhu, Q. M.; Billings, S. A.
12
1996
A bound for the magnitude characteristics of nonlinear ouput frequency response functions. I: Analysis and computation. Zbl 0870.93031
Billings, S. A.; Lang, Zi-Qiang
6
1996
Decomposition of generalized frequency response functions for nonlinear systems using symbolic computation. Zbl 0870.93033
Billings, S. A.; Yusof, M. I.
5
1996
Gain bounds of higher-order nonlinear transfer functions. Zbl 0860.93013
Zhang, H.; Billings, S. A.
5
1996
Smoothing data with local instabilities for the identification of chaotic systems. Zbl 0847.93025
Aguirre, Luis A.; Mendes, Eduardo M.; Billings, S. A.
3
1996
Stable sequential identification of continuous nonlinear dynamical systems by growing radial basis function networks. Zbl 0856.93026
Liu, G. P.; Kadirkamanathan, V.; Billings, S. A.
2
1996
A bound for the magnitude characteristics of nonlinear output frequency response functions. II: Practical computation of the bound for systems described by the nonlinear autoregressive model with exogenous input. Zbl 0870.93032
Billings, S. A.; Lang, Zi-Qiang
2
1996
Retrieving dynamical invariants from chaotic data using NARMAX models. Zbl 0886.58100
Aguirre, Luis Antonio; Billings, S. A.
31
1995
Dynamical effects of overparametrization in nonlinear models. Zbl 0888.58060
Aguirre, Luis Antonio; Billings, S. A.
23
1995
...and 71 more Documents
all top 5

Cited by 1,344 Authors

135 Billings, Stephen A.
24 Aguirre, Luis Antonio
23 Guo, Lingzhong
21 Coca, Daniel
21 Lang, Ziqiang
20 Wei, Hualiang
20 Zhu, Quanmin
19 Chen, Sheng
16 Schoukens, Johan
14 Jing, Xingjian
14 Letellier, Christophe
12 Guo, Yuzhu
12 Lang, Zhiqiang
10 Li, Kang
9 Jones, J. C. Peyton
9 Peng, Zhike
8 Kadirkamanathan, Visakan
8 Zinober, Alan Solon Ivor
7 Bai, Erwei
7 Irwin, George William
7 Krzyżak, Adam
7 Ljung, Lennart
7 Meng, Guang
7 Nepomuceno, Erivelton Geraldo
7 Pintelon, Rik
7 Piroddi, Luigi
7 Tsang, Kai Ming
7 Zhao, Yifan
6 Brunton, Steven L.
6 Mangiarotti, Sylvain
6 Maquet, Jean
6 Mendes, Eduardo M. A. M.
6 Zhang, Wenming
5 Anderson, Sean R.
5 Greblicki, Wlodzimierz
5 Harris, Chris J.
5 Hasiewicz, Zygmunt
5 Hong, Xia
5 Leontaritis, I. J.
5 Mzyk, Grzegorz
5 Schoukens, Maarten
5 Suykens, Johan A. K.
5 Tiels, Koen
5 Wang, Liuping
5 Żak, Stanislaw H.
4 Chen, Guanrong
4 Cheng, Changming
4 Dong, Xingjian
4 Hjalmarsson, Håkan
4 Hong, Xue
4 Hui, Stefen
4 Kenné, Godpromesse
4 Kutz, J. Nathan
4 Lamnabhi-Lagarrigue, Françoise
4 Mitchell, R. J.
4 Rolain, Yves
4 Shyu, Kuo-Kai
4 Takahashi, Ricardo H. C.
4 Unbehauen, Heinz
4 Zhu, Yunpeng
3 Agamennoni, Osvaldo E.
3 Dewson, T.
3 Elad, Michael
3 Fei, Shumin
3 Ge, Shuzhi Sam
3 Huc, Mireille
3 Irving, Andrew D.
3 Janczak, Andrzej
3 Kukreja, Sunil L.
3 Lee, Tong Heng
3 Li, Liuming
3 Li, Xiuting
3 Liu, Yanjun
3 Longden, Ashley
3 Marmarelis, Vasilis Z.
3 Martins, Samir A. M.
3 Mei, Shuaishuai
3 Nešić, Dragan
3 Pan, Yiheng
3 Partyka, Marian A.
3 Pawlak, Mirosław
3 Prandini, Maria
3 Rodin, Ervin Y.
3 Şendrescu, Dorin
3 Śliwiński, Przemysław
3 Steinbuch, Maarten
3 Tang, Xiaoquan
3 Teel, Andrew Richard
3 Tsai, Yao-Wen
3 Vanbeylen, Laurent
3 Vandersteen, Gerd
3 Voon, W. S. F.
3 Wang, Cong
3 Xu, Daolin
3 Yue, Rong
3 Zhai, Junyong
3 Zhang, Lifeng
3 Zhang, Long
3 Zhang, Weicun
3 Zhao, Dongya
...and 1,244 more Authors
all top 5

Cited in 122 Serials

125 International Journal of Control
112 Automatica
89 International Journal of Systems Science
37 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Nonlinear Dynamics
22 Chaos
21 Journal of the Franklin Institute
20 International Journal of Systems Science. Principles and Applications of Systems and Integration
19 Systems & Control Letters
16 European Journal of Control
14 Physica D
13 Neural Networks
12 Fuzzy Sets and Systems
11 Applied Mathematical Modelling
11 Mathematical Problems in Engineering
10 International Journal of Adaptive Control and Signal Processing
10 Complexity
10 International Journal of Applied Mathematics and Computer Science
9 International Journal of Robust and Nonlinear Control
8 Mathematics and Computers in Simulation
8 Mathematical and Computer Modelling
7 Chaos, Solitons and Fractals
7 Information Sciences
6 Asian Journal of Control
5 Applied Mathematics and Computation
5 Neural Computation
5 Journal of Vibration and Control
5 Mathematical and Computer Modelling of Dynamical Systems
4 Circuits, Systems, and Signal Processing
4 Applied and Computational Harmonic Analysis
4 Nonlinear Analysis. Hybrid Systems
4 Journal of Control Science and Engineering
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Journal of Computational Physics
3 Journal of Fluid Mechanics
3 Journal of Computational and Applied Mathematics
3 Kybernetika
3 Meccanica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 MCSS. Mathematics of Control, Signals, and Systems
3 Journal of Statistical Computation and Simulation
3 Soft Computing
3 Communications in Nonlinear Science and Numerical Simulation
3 Acta Mechanica Sinica
2 Computers & Mathematics with Applications
2 Physics Letters. A
2 Dynamics and Control
2 Pattern Recognition
2 Journal of Nonlinear Science
2 Journal of Computational Neuroscience
2 Abstract and Applied Analysis
2 Journal of Applied Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Control Theory and Applications
2 Inverse Problems in Science and Engineering
2 Nonlinear Analysis. Theory, Methods & Applications
1 Biological Cybernetics
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Physica A
1 Bulletin of Mathematical Biology
1 Theoretical and Computational Fluid Dynamics
1 Canadian Mathematical Bulletin
1 Journal of Approximation Theory
1 Journal of Econometrics
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Theoretical Population Biology
1 Optimal Control Applications & Methods
1 Cybernetics and Systems
1 International Journal of Production Research
1 Constructive Approximation
1 International Journal of Approximate Reasoning
1 Signal Processing
1 Machine Learning
1 Computational Statistics
1 Communications in Statistics. Simulation and Computation
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Computational Statistics and Data Analysis
1 Archive of Applied Mechanics
1 Advances in Engineering Software
1 Computational Optimization and Applications
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Neural Computing and Applications
1 Multibody System Dynamics
1 Journal of Applied Statistics
1 Higher-Order and Symbolic Computation
1 Computational Geosciences
1 Stochastic Environmental Research and Risk Assessment
1 Optimization and Engineering
1 Differential Equations
...and 22 more Serials

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