Non-linear output frequency response functions for multi-input non-linear Volterra systems

International Journal of Control

Volumn 80, Issue 6, 2007, Pages 843-855

  Peng, Z K ^a   Lang, Z Q ^a   Billings, S A ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DEGREES OF FREEDOM (MECHANICS); ELECTRIC FREQUENCY MEASUREMENT; ENERGY TRANSFER; FREQUENCY RESPONSE; FUNCTION EVALUATION;

ENGINEERING SYSTEMS; NONLINEAR OUTPUT FREQUENCY RESPONSE FUNCTIONS (NOFRF);

NONLINEAR SYSTEMS;

EID: 34347204475     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170601185038     Document Type: Article

References (14)

1. S.A. Billings and J.C. Peyton Jones, "Mapping nonlinear integro-differential equations into the frequency domain", Int. J. Cont., 52, pp. 863-879, 1990.
2. S.A. Billings and K.M. Tsang, "Spectral analysis for nonlinear system, part I: parametric non-linear spectral analysis", Mech. Sys. Sig. Process., 3, pp. 319-339, 1989.
3. L.Z. Guo and S.A. Billings, "A comparison of polynomial and wavelet expansions for the identification of chaotic coupled map lattices", Int. J. Bifurcat. Chaos, 9, pp. 2927-2938, 2005.
4. Z.Q. Lang and S.A. Billings, "Output frequency characteristics of nonlinear system", Int. J. Cont., 64, pp. 1049-1067, 1996.
5. Z.Q. Lang and S.A. Billings, "Energy transfer properties of nonlinear systems in the frequency domain", Int. J. Cont., 78, pp. 354-362, 2005.
6. A.H. Nayfeh and D.I. Mook, Nonlin. Oscillat, New York: John Wiley and Sons, 1979.
7. R.K. Pearson, Discrete Time Dynamic Models, New York: Oxford University Press, 1994.
8. Z.K. Peng, Z.Q. Lang and S.A. Billings, "Resonances and resonant frequencies for a class of nonlinear systems", J. Sound and Vibration, 300, pp. 993-1014, 2007.
9. J.C. Peyton Jones and S.A. Billings, "A recursive algorithm for the computing the frequency response of a class of nonlinear difference equation models", Int. J. Cont., 50, pp. 1925-1940, 1989.
10. J.A. Vazquez Feijoo, K. Worden and R. Stanway, "System identification using associated linear equations", Mech. Sys. Sig. Process., 18, pp. 431-455, 2004.
11. J.A. Vazquez Feijoo, K. Worden and R. Stanway, "Associated linear equations for Volterra operators", Mech. Sys. Sig. Process., 19, pp. 57-69, 2005.
12. K. Worden, Q. Manson and G.R. Tomlinson, "A harmonic probing algorithm for the multi-input Volterra series", J. Sound and Vibration, 201, pp. 67-84, 1997.
13. H. Zhang and S.A. Billings, "Analysing non-linear systems in the frequency domain, I: the transfer function", Mech. Sys. Sig. Process., 1, pp. 531-550, 1993.
14. H. Zhang and S.A. Billings, "Analysing nonlinear systems in the frequency domain, II: the phase response", Mech. Sys. Sig. Process., 8, pp. 45-62, 1994.