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International Journal of Control Volume 64, 1996 - Issue 6
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Original Articles

Output frequency characteristics of nonlinear systems

ZI-QIANG LANG Department of Automatic Control and Systems Engineering, University of Sheffield, P.O. Box 600c Mappin Street, Sheffield, SI, 4DU, U.K.
&
S. A. BILLINGS Department of Automatic Control and Systems Engineering, University of Sheffield, P.O. Box 600c Mappin Street, Sheffield, SI, 4DU, U.K.
Pages 1049-1067 | Received 28 Sep 1995, Published online: 24 Feb 2007

REFERENCES

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  • BILLINGS , S. A. , and YUSOF , M. I. , 1996 , Decomposition of generalised frequency response functions for nonlinear systems using symbolic computation . International Journal of Control , to be published .
  • BUSSGANG , J. J. , EHRMAN , L. , and GARHAM , J. W. , 1974 , Analysis of nonlinear systems with multiple inputs . Proceedings of the Institute of Electrical and Electronics Engineers , 62 , 1088 – 1119 .
  • CHO , Y. S. , KIM , S. D. , HIXSON , E. L. , and POWERS , E. J. , 1992 , A digital technique to estimate second order distortion using higher order coherence spectra . IEEE Transactions on Acoustic, Speech and Signal Processing , 40 , 1029 – 1040 .
  • CLAPHAM , C. , 1990 . The Concise Oxford Dictionary of Mathematics ( Oxford University Press ), p. 50 .
  • GEORGE , D. A. , 1959 , Continuous nonlinear systems . Technical Report No. 335 , MIT Research Laboratory California , USA .
  • KIM , K. I. , and POWERS , E. J. , 1988 , A digital method of modelling quadratically nonlinear systems with a general random input . IEEE Transactions on Acoustic, Speech and Signal Processing , 36 , 1758 – 1769 .
  • MITZEL , G. , CHANCY , S. , and RUGH , W. , 1979 , On transfer function representations for homogeneous nonlinear systems . IEEE Transactions on Automatic Control , 24 , 242 – 249 .
  • PEYTON JONES , J. C. , and BILLINGS , S. A. , 1989 , A recursive algorithm for computing the frequency response of a class of nonlinear difference equation models . International Journal of Control , 50 , 1925 – 1949 ; 1990, Interpretation of nonlinear frequency response functions. Ibid., 52, 319–346 .
  • SPIEGEL , M. R. , 1974 , Theory and Problems of Advanced Calculus, edition , SI (metric) , Schaum's Outline Series ( New York McGraw-Hill ), Chapter 10 , pp. 198 – 199 .
  • VINH , T. , CHOUYCHAI , T. , LIU , H. , and DIOUDER , M. , 1987 , Second order transfer function Computation and physical interpretation . Proceedings of Fifth International Model Analysis Conference , London , U.K. , pp. 587 – 592 .
  • ZHANG , H. , BILLINGS , S. A. , and ZHU , Q. M. , 1995 , Frequency response functions for nonlinear rational models . International Journal of Control , 61 , 1073 – 1097 .

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