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Volumn 28, Issue 5, 2009, Pages 699-733

Parametric characteristic analysis for generalized frequency response functions of nonlinear systems

Author keywords

Generalized frequency response functions (GFRFs); Nonlinear differential equations (NDEs); Nonlinear systems; Parametric characteristics; Volterra series

Indexed keywords

ANALYSIS AND DESIGN; CHARACTERISTIC ANALYSIS; FREQUENCY DOMAINS; GENERALIZED FREQUENCY RESPONSE FUNCTIONS; GENERALIZED FREQUENCY RESPONSE FUNCTIONS (GFRFS); MODEL PARAMETERS; NEW RESULTS; NONLINEAR DIFFERENTIAL EQUATION; NONLINEAR DIFFERENTIAL EQUATIONS (NDES); OUTPUT FREQUENCY; PARAMETRIC CHARACTERISTICS; POLYNOMIAL STRUCTURE; SYSTEM FREQUENCY; SYSTEM NONLINEARITIES; TIME DOMAIN MODELS; VOLTERRA SERIES; VOLTERRA SYSTEMS;

EID: 70349281491     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-009-9106-7     Document Type: Article
Times cited : (21)

References (29)
  • 1
    • 0015205886 scopus 로고
    • The output properties of Volterra systems driven by harmonic and Gaussian inputs
    • E. Bedrosian, S.O. Rice, The output properties of Volterra systems driven by harmonic and Gaussian inputs. Proc. Inst. Electr. Electron. Eng. 59, 1688-1707 (1971)
    • (1971) Proc. Inst. Electr. Electron. Eng. , vol.59 , pp. 1688-1707
    • Bedrosian, E.1    Rice, S.O.2
  • 3
    • 0037145121 scopus 로고    scopus 로고
    • Nonlinear systems in the frequency domain: Energy transfer filters
    • S.A. Billings, Z.Q. Lang, Nonlinear systems in the frequency domain: Energy transfer filters. Int. J. Control 75(14), 1066-1081 (2002)
    • (2002) Int. J. Control , vol.75 , Issue.14 , pp. 1066-1081
    • Billings, S.A.1    Lang, Z.Q.2
  • 4
    • 84899643337 scopus 로고
    • Mapping nonlinear integro-differential equations into the frequency domain
    • S.A. Billings, J.C. Peyton-Jones, Mapping nonlinear integro-differential equations into the frequency domain. Int. J. Control 54, 863-879 (1990)
    • (1990) Int. J. Control , vol.54 , pp. 863-879
    • Billings, S.A.1    Peyton-Jones, J.C.2
  • 5
    • 0022150259 scopus 로고
    • Fading memory and the problem of approximating nonlinear operators with Volterra series
    • S. Boyd, L.O. Chua, Fading memory and the problem of approximating nonlinear operators with Volterra series. IEEE Trans. Circuits Syst. CAS-32, 1150-1161 (1985)
    • (1985) IEEE Trans. Circuits Syst. , vol.CAS-32 , pp. 1150-1161
    • Boyd, S.1    Chua, L.O.2
  • 6
    • 0011523140 scopus 로고    scopus 로고
    • Technical Report 355, MIT Research Laboratory of Electronics, Cambridge, MA, Jul. 24, 1959
    • D.A. George, Continuous nonlinear systems. Technical Report 355, MIT Research Laboratory of Electronics, Cambridge, MA, Jul. 24, 1959
    • Continuous Nonlinear Systems
    • George, D.A.1
  • 7
    • 33750928192 scopus 로고    scopus 로고
    • New bound characteristics of NARX model in the frequency domain
    • X.J. Jing, Z.Q. Lang, S.A. Billings, New bound characteristics of NARX model in the frequency domain. Int. J. Control 80(1), 140-149 (2007)
    • (2007) Int. J. Control , vol.80 , Issue.1 , pp. 140-149
    • Jing, X.J.1    Lang, Z.Q.2    Billings, S.A.3
  • 8
    • 33747589871 scopus 로고    scopus 로고
    • The parametric characteristic of frequency response functions for nonlinear systems
    • X.J. Jing, Z.Q. Lang, S.A. Billings, G.R. Tomlinson, The parametric characteristic of frequency response functions for nonlinear systems. Int. J. Control 79(12), 1552-1564 (2006)
    • (2006) Int. J. Control , vol.79 , Issue.12 , pp. 1552-1564
    • Jing, X.J.1    Lang, Z.Q.2    Billings, S.A.3    Tomlinson, G.R.4
  • 9
    • 43049135802 scopus 로고    scopus 로고
    • Frequency domain analysis for suppression of output vibration from periodic disturbance using nonlinearities
    • X.J. Jing, Z.Q. Lang, S.A. Billings, Frequency domain analysis for suppression of output vibration from periodic disturbance using nonlinearities. J. Sound Vib. 314, 536-557 (2008)
    • (2008) J. Sound Vib. , vol.314 , pp. 536-557
    • Jing, X.J.1    Lang, Z.Q.2    Billings, S.A.3
  • 10
    • 0024103923 scopus 로고
    • A digital method of modelling quadratic nonlinear systems with a general random input
    • K.I. Kim, E.J. Powers, A digital method of modelling quadratic nonlinear systems with a general random input. IEEE Trans. Acoust. Speech Signal Process. 36, 1758-1769 (1988)
    • (1988) IEEE Trans. Acoust. Speech Signal Process. , vol.36 , pp. 1758-1769
    • Kim, K.I.1    Powers, E.J.2
  • 11
    • 0031062228 scopus 로고    scopus 로고
    • Finite input/output representative of a class of Volterra polynomial systems
    • S. Kotsios, Finite input/output representative of a class of Volterra polynomial systems. Automatica 33, 257-262 (1997)
    • (1997) Automatica , vol.33 , pp. 257-262
    • Kotsios, S.1
  • 12
    • 0030217037 scopus 로고    scopus 로고
    • Output frequency characteristics of nonlinear systems
    • Z.Q. Lang, S.A. Billings, Output frequency characteristics of nonlinear systems. Int. J. Control 64, 1049-1067 (1996)
    • (1996) Int. J. Control , vol.64 , pp. 1049-1067
    • Lang, Z.Q.1    Billings, S.A.2
  • 13
    • 0031177378 scopus 로고    scopus 로고
    • Output frequencies of nonlinear systems
    • Z.Q. Lang, S.A. Billings, Output frequencies of nonlinear systems. Int. J. Control 67, 713-730 (1997)
    • (1997) Int. J. Control , vol.67 , pp. 713-730
    • Lang, Z.Q.1    Billings, S.A.2
  • 14
    • 27944467848 scopus 로고    scopus 로고
    • Energy transfer properties of nonlinear systems in the frequency domain
    • Z.Q. Lang, S.A. Billings, Energy transfer properties of nonlinear systems in the frequency domain. Int. J. Control 78, 345-362 (2005)
    • (2005) Int. J. Control , vol.78 , pp. 345-362
    • Lang, Z.Q.1    Billings, S.A.2
  • 15
    • 33947730262 scopus 로고    scopus 로고
    • Output frequency response functions of nonlinear Volterra systems
    • Z.Q. Lang, S.A. Billings, R. Yue, J. Li, Output frequency response functions of nonlinear Volterra systems. Automatica 43, 805-816 (2007)
    • (2007) Automatica , vol.43 , pp. 805-816
    • Lang, Z.Q.1    Billings, S.A.2    Yue, R.3    Li, J.4
  • 16
    • 0028466140 scopus 로고
    • Application of higher-order spectral analysis to cubically nonlinear-system identification
    • S.W. Nam, E.J. Powers, Application of higher-order spectral analysis to cubically nonlinear-system identification. IEEE Trans. Signal Process. 42(7), 1746-1765 (1994)
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.7 , pp. 1746-1765
    • Nam, S.W.1    Powers, E.J.2
  • 17
    • 33747007127 scopus 로고    scopus 로고
    • Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses
    • P.W.J.M. Nuij, O.H. Bosgra, M. Steinbuch, Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses. Mech. Syst. Signal Process. 20, 1883-1904 (2006)
    • (2006) Mech. Syst. Signal Process. , vol.20 , pp. 1883-1904
    • Nuij, P.W.J.M.1    Bosgra, O.H.2    Steinbuch, M.3
  • 18
    • 34547453641 scopus 로고    scopus 로고
    • Frequency domain analysis of uncertain time-varying discrete-time systems
    • P. Orlowski, Frequency domain analysis of uncertain time-varying discrete-time systems. Circuits Syst. Signal Process. 26(3), 293-310 (2007)
    • (2007) Circuits Syst. Signal Process. , vol.26 , Issue.3 , pp. 293-310
    • Orlowski, P.1
  • 20
    • 0142168427 scopus 로고    scopus 로고
    • Automatic computation of polyharmonic balance equations for non-linear differential systems
    • J.C. Peyton Jones, Automatic computation of polyharmonic balance equations for non-linear differential systems. Int. J. Control 76(4), 355-365 (2003)
    • (2003) Int. J. Control , vol.76 , Issue.4 , pp. 355-365
    • Peyton Jones, J.C.1
  • 22
    • 0020091042 scopus 로고
    • Expansions for nonlinear systems
    • I.W. Sandberg, Expansions for nonlinear systems. Bell Syst. Tech. J. 61(2), 159-199 (1982)
    • (1982) Bell Syst. Tech. J. , vol.61 , Issue.2 , pp. 159-199
    • Sandberg, I.W.1
  • 24
    • 0033208944 scopus 로고    scopus 로고
    • Frequency-based controller design for a class of nonlinear systems
    • M.A. Shah, M.A. Franchek, Frequency-based controller design for a class of nonlinear systems. Int. J. Robust Nonlinear Control 9(12), 825-840 (1999)
    • (1999) Int. J. Robust Nonlinear Control , vol.9 , Issue.12 , pp. 825-840
    • Shah, M.A.1    Franchek, M.A.2
  • 26
    • 1842429853 scopus 로고    scopus 로고
    • Frequency domain analysis of nonlinear systems driven by multiharmonic signals
    • M. Solomou, D. Rees, N. Chiras, Frequency domain analysis of nonlinear systems driven by multiharmonic signals. IEEE Trans. Instrum. Meas. 53(2), 243-250 (2004)
    • (2004) IEEE Trans. Instrum. Meas. , vol.53 , Issue.2 , pp. 243-250
    • Solomou, M.1    Rees, D.2    Chiras, N.3
  • 27
    • 0035719329 scopus 로고    scopus 로고
    • Measurement-based nonlinear modeling of spectral regrowth
    • W. Van Moer, Y. Rolain, A. Geens, Measurement-based nonlinear modeling of spectral regrowth. IEEE Trans. Instrum. Meas. 50(6), 1711-1716 (2001)
    • (2001) IEEE Trans. Instrum. Meas. , vol.50 , Issue.6 , pp. 1711-1716
    • Van Moer, W.1    Rolain, Y.2    Geens, A.3
  • 29
    • 27944467152 scopus 로고    scopus 로고
    • An investigation into the characteristics of non-linear frequency response functions. Part 1: Understanding the higher dimensional frequency spaces
    • R. Yue, S.A. Billings, Z.-Q. Lang, An investigation into the characteristics of non-linear frequency response functions. Part 1: Understanding the higher dimensional frequency spaces. Int. J. Control 78(13), 1031-1044 (2005)
    • (2005) Int. J. Control , vol.78 , Issue.13 , pp. 1031-1044
    • Yue, R.1    Billings, S.A.2    Lang, Z.-Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.