An investigation into the characteristics of non-linear frequency response functions. Part 2: New analysis methods based on symbolic expansions and graphical techniques

International Journal of Control

Volumn 78, Issue 14, 2005, Pages 1130-1149

  Yue, R ^a   Billings, S A ^a   Lang, Z Q ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY;

FREQUENCY SPACES; PHASE RESPONSES;

FREQUENCY RESPONSE;

EID: 27844598715     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170500144524     Document Type: Article

References (10)

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2. S.A. Billings, M.J. Korenberg and S. Chen, "Identification of non-linear output-affine systems using an orthogonal least-squares algorithm", Int. J. System Science, 19(8), pp. 1559-1568, Aug. 1988.
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4. M.J. Korenberg, S.A. Billings, Y.P. Liu and P.J. Mcilroy, "Orthogonal parameter-estimation algorithm for non-linear stochastic-systems", Int. J. Control, 48(1), pp. 193-210, Jul. 1988.
5. J.C. Peyton Jones and S.A. Billings, "A recursive algorithm for computing the frequency response of a class of nonlinear difference equation models", International Journal of Control, 50, pp. 1925-1949, 1989.
6. J.C. Peyton Jones and S.A. Billings, "Interpretation of nonlinear frequency response functions", International Journal of Control, 52, pp. 319-346, 1990.
7. W.J. Rugh, Nonlinear System Theory: The Volterra/Wiener Approach, Baltimore, Maryland, U.S.A.: Johns Hopkins University Press, 1981.
8. M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems, Chichester: John Wiley, 1980.
9. D.D. Weiner and J.F. Spina, Sinusoidal Analysis and Modelling of Weakly Nonlinear Circuits, New York: Van Nostrand Reinhold, 1980.
10. K. Worden, P.K. Stansby, G.R. Tomlinson and S.A. Billings, "Identification of non-linear wave forces", Journal of Fluids and Structures, 8, pp. 19-71, 1994.