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International Journal of Control Volume 50, 1989 - Issue 5
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Original Articles

Recursive algorithm for computing the frequency response of a class of non-linear difference equation models

J. C. PEYTON JONES Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield, SI, 3JD, U.K
&
S. A. BILLINGS Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield, SI, 3JD, U.K
Pages 1925-1940 | Received 28 May 1989, Published online: 16 May 2007

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Yang Li, Hua-Liang Wei, Stephen. A. Billings & P.G. Sarrigiannis. (2016) Identification of nonlinear time-varying systems using an online sliding-window and common model structure selection (CMSS) approach with applications to EEG. International Journal of Systems Science 47:11, pages 2671-2681.
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X. J. Jing, Z. Q. Lang & S. A. Billings. (2007) New bound characteristics of NARX model in the frequency domain. International Journal of Control 80:1, pages 140-149.
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S. A. BILLINGS & ZI-QIANG LANG. (1996) A bound for the magnitude characteristics of nonlinear output frequency response functions Part 2: Practical computation of the bound for systems described by the nonlinear autoregressive model with exogenous input. International Journal of Control 65:3, pages 365-384.
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S. A. BILLINGS & ZI-QIANG LANG. (1996) A bound for the magnitude characteristics of nonlinear output frequency response functions Part 1. Analysis and computation. International Journal of Control 65:2, pages 309-328.
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ZI-QIANG LANG & S. A. BILLINGS. (1996) Output frequency characteristics of nonlinear systems. International Journal of Control 64:6, pages 1049-1067.
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H. ZHANG & S. A. BILLINGS. (1996) Gain bounds of higher-order nonlinear transfer functions. International Journal of Control 64:4, pages 767-773.
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LUIS A. AGUIRRE & S. A. BILLINGS. (1995) Improved structure selection for nonlinear models based on term clustering. International Journal of Control 62:3, pages 569-587.
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H. ZHANG, S. A. BILLINGS & Q. M. ZHU. (1995) Frequency response functions for nonlinear rational models. International Journal of Control 61:5, pages 1073-1097.
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J. C. PEYTON JONES & S. A. BILLINGS. (1993) Mean levels in nonlinear analysis and identification. International Journal of Control 58:5, pages 1033-1052.
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J. C. PEYTON JONES & S. A. BILLINGS. (1990) Interpretation of non-linear frequency response functions. International Journal of Control 52:2, pages 319-346.
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