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International Journal of Control Volume 80, 2007 - Issue 1
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Original Articles

New bound characteristics of NARX model in the frequency domain

X. J. Jing Department of Automatic Control and Systems Engineering, University of Sheffiled, Mappin Street, Sheffield, S1 3JD, UKCorrespondence[email protected]
,
Z. Q. Lang Department of Automatic Control and Systems Engineering, University of Sheffiled, Mappin Street, Sheffield, S1 3JD, UK
&
S. A. Billings Department of Automatic Control and Systems Engineering, University of Sheffiled, Mappin Street, Sheffield, S1 3JD, UK
Pages 140-149 | Received 21 Apr 2006, Accepted 15 Aug 2006, Published online: 24 Nov 2006

Citations (33)

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Peng Huang, Jundong Wu, Chun-Yi Su & Yawu Wang. (2022) Tracking control of soft dielectric elastomer actuator based on nonlinear PID controller. International Journal of Control 0:0, pages 1-11.
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Xing Jian Jing, Zi Qiang Lang & Stephen A. Billings. (2008) Mapping from parametric characteristics to generalized frequency response functions of non-linear systems. International Journal of Control 81:7, pages 1071-1088.
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X. J. Jing, Z. Q. Lang & S. A. Billings. (2008) Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. International Journal of Control 81:2, pages 235-251.
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Articles from other publishers (30)

Yang Liu & Haiying Liang. (2023) Review on the Application of the Nonlinear Output Frequency Response Functions to Mechanical Fault Diagnosis. IEEE Transactions on Instrumentation and Measurement 72, pages 1-12.
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Xingjian Jing & Zhenlong Xiao. (2017) On Convergence of Volterra Series Expansion of a Class of Nonlinear Systems. Asian Journal of Control 19:3, pages 1089-1102.
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C.M. Cheng, Z.K. Peng, W.M. Zhang & G. Meng. (2017) Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review. Mechanical Systems and Signal Processing 87, pages 340-364.
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Zhenlong Xiao & Xingjian Jing. (2015) An SIMO Nonlinear System Approach to Analysis and Design of Vehicle Suspensions. IEEE/ASME Transactions on Mechatronics 20:6, pages 3098-3111.
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Xingjian Jing & Ziqiang LangXingjian Jing & Ziqiang Lang. 2015. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion 133 151 .
Xingjian Jing & Ziqiang LangXingjian Jing & Ziqiang Lang. 2015. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion 113 131 .
Xingjian Jing & Ziqiang LangXingjian Jing & Ziqiang Lang. 2015. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion 9 30 .
Xingjian Jing & Ziqiang LangXingjian Jing & Ziqiang Lang. 2015. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion 269 296 .
Xingjian Jing & Ziqiang LangXingjian Jing & Ziqiang Lang. 2015. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion 207 235 .
Xingjian Jing & Ziqiang LangXingjian Jing & Ziqiang Lang. 2015. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion 1 7 .
Zhenlong Xiao, Xingjian Jing & Li Cheng. (2014) Estimation of parametric convergence bounds for Volterra series expansion of nonlinear systems. Mechanical Systems and Signal Processing 45:1, pages 28-48.
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Zhenlong Xiao, Xingjian Jing & Li Cheng. (2013) Parameterized Convergence Bounds for Volterra Series Expansion of NARX Models. IEEE Transactions on Signal Processing 61:20, pages 5026-5038.
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Z.K. Peng, W.M. Zhang, B.T. Yang, G. Meng & F.L. Chu. (2013) The parametric characteristic of bispectrum for nonlinear systems subjected to Gaussian input. Mechanical Systems and Signal Processing 36:2, pages 456-470.
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Xing-Jian Dong, Zhi-Ke Peng, Wen-Ming Zhang, Guang Meng & Fu-Lei Chu. (2013) Parametric characteristic of the random vibration response of nonlinear systems. Acta Mechanica Sinica 29:2, pages 267-283.
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Muhammad Bilal Kadri. (2012) System Identification of a Cooling Coil Using Recurrent Neural Networks. Arabian Journal for Science and Engineering 37:8, pages 2193-2203.
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Z.K. Peng, Z.Q. Lang, L. Zhao, S.A. Billings, G.R. Tomlinson & P.F. Guo. (2011) The force transmissibility of MDOF structures with a non-linear viscous damping device. International Journal of Non-Linear Mechanics 46:10, pages 1305-1314.
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Xingjian Jing. (2011) Frequency domain analysis and identification of block-oriented nonlinear systems. Journal of Sound and Vibration 330:22, pages 5427-5442.
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Z.K. Peng, Z.Q. Lang, C. Wolters, S.A Billings & K. Worden. (2011) Feasibility study of structural damage detection using NARMAX modelling and Nonlinear Output Frequency Response Function based analysis. Mechanical Systems and Signal Processing 25:3, pages 1045-1061.
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Xingjian Jing & Ziqiang Lang. (2009) On the Generalized Frequency Response Functions of Volterra Systems. Journal of Dynamic Systems, Measurement, and Control 131:6.
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Xing Jian Jing & Zi Qiang Lang. (2009) Frequency domain analysis of a dimensionless cubic nonlinear damping system subject to harmonic input. Nonlinear Dynamics 58:3, pages 469-485.
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Xing Jian Jing, Zi Qiang Lang & Stephen A. Billings. (2009) Parametric Characteristic Analysis for Generalized Frequency Response Functions of Nonlinear Systems. Circuits, Systems & Signal Processing 28:5, pages 699-733.
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Ya-Wei Lee & Tien-Li Chang. (2009) Application of NARX neural networks in thermal dynamics identification of a pulsating heat pipe. Energy Conversion and Management 50:4, pages 1069-1078.
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Xingjian Jing, Ziqiang Lang & Stephen A. Billings. (2009) Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric characteristics. Journal of Mathematical Analysis and Applications 351:2, pages 694-706.
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Xing Jian Jing, Zi Qiang Lang & Stephen A. Billings. (2009) Frequency-Dependent Magnitude Bounds of the Generalized Frequency Response Functions for NARX Model. European Journal of Control 15:1, pages 68-83.
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Z.K. Peng & Z.Q. Lang. (2008) The effects of nonlinearity on the output frequency response of a passive engine mount. Journal of Sound and Vibration 318:1-2, pages 313-328.
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Z.K. Peng, Z.Q. Lang & S.A. Billings. (2008) Nonlinear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions. Mechanical Systems and Signal Processing 22:7, pages 1582-1594.
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Z.K. Peng, Z.Q. Lang, S.A. Billings & G.R. Tomlinson. (2008) Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis. Journal of Sound and Vibration 311:1-2, pages 56-73.
Crossref
Xing Jian Jing, Zi Qiang Lang & Stephen A. Billings. (2008) New Results on the Generalized Frequency Response functions of Nonlinear Volterra Systems Described by NARX model. IFAC Proceedings Volumes 41:2, pages 15381-15386.
Crossref
Xing Jian Jing, Zi Qiang Lang & Stephen A. Billings. (2008) Output frequency response function-based analysis for nonlinear Volterra systems. Mechanical Systems and Signal Processing 22:1, pages 102-120.
Crossref
Z.K. Peng, Z.Q. Lang & S.A. Billings. (2007) Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions. Mechanical Systems and Signal Processing 21:8, pages 3108-3122.
Crossref

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