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Volumn 30, Issue 7, 1983, Pages 441-455

The Mathematical Foundations of Associated Expansions for Mildly Nonlinear Systems

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, NONLINEAR;

EID: 0020792749     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1983.1085387     Document Type: Article
Times cited : (63)

References (22)
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    • I. W. Sandberg, “Expansions for nonlinear systems,” Bell Syst. Tech. J., vol. 61, no. 2, pp. 159-199, Feb. 1982.
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    • Sandberg, I.W.1
  • 2
    • 0020087819 scopus 로고
    • Volterra expansions for time-varying nonlinear systems
    • Feb.
    • I. W. Sandberg, “Volterra expansions for time-varying nonlinear systems,” Bell Syst. Tech. J., vol. 61, no. 2, pp. 201-225, Feb. 1982.
    • (1982) Bell Syst. Tech. J. , vol.61 , Issue.2 , pp. 201-225
    • Sandberg, I.W.1
  • 3
    • 0020706640 scopus 로고
    • On Volterra expansions for time-varying nonlinear systems
    • Feb.
    • I. W. Sandberg, “On Volterra expansions for time-varying nonlinear systems,” IEEE Trans. Circuits Syst., vol. CAS-30, pp. 61-67, Feb. 1983.
    • (1983) IEEE Trans. Circuits Syst. , vol.CAS-30 , pp. 61-67
    • Sandberg, I.W.1
  • 4
    • 0010744739 scopus 로고
    • Sopra le Funzioni che Dipendono da Altre Funzioni, Nota 1
    • V. Volterra, “Sopra le Funzioni che Dipendono da Altre Funzioni, Nota 1,” Rend. Lincei Ser. 4, 3 (1887) pp. 97-105.
    • (1887) Rend. Lincei Ser. 4 , vol.3 , pp. 97-105
    • Volterra, V.1
  • 9
    • 0003553624 scopus 로고
    • Baltimore, MD: The John Hopkins University Press
    • W. J. Rugh, Nonlinear System Theory. Baltimore, MD: The John Hopkins University Press 1981.
    • (1981) Nonlinear System Theory
    • Rugh, W.J.1
  • 10
    • 0015205886 scopus 로고
    • The output properties of Volterra systems driven by harmonic and Gaussian inputs
    • Dec.
    • E. Bedrosian and S. O. Rice, “The output properties of Volterra systems driven by harmonic and Gaussian inputs,” Proc. IEEE, vol. 59, pp. 1688-1707, Dec. 1971.
    • (1971) Proc. IEEE , vol.59 , pp. 1688-1707
    • Bedrosian, E.1    Rice, S.O.2
  • 11
    • 0018011707 scopus 로고
    • Volterra series and Picard iteration for nonlinear circuits and systems
    • Sept.
    • B. J. Leon and D. J. Schaefer, “Volterra series and Picard iteration for nonlinear circuits and systems,” IEEE Trans. Circuits Syst., vol. 25, pp. 789-793, Sept. 1978.
    • (1978) IEEE Trans. Circuits Syst. , vol.25 , pp. 789-793
    • Leon, B.J.1    Schaefer, D.J.2
  • 12
    • 0020098746 scopus 로고
    • Nonlinear oscillation via Volterra series
    • Mar.
    • L. O. Chua and Y. S. Tang, “Nonlinear oscillation via Volterra series,” IEEE Trans. Circuits Syst., vol. CAS-29, pp. 150-168, Mar. 1982.
    • (1982) IEEE Trans. Circuits Syst. , vol.CAS-29 , pp. 150-168
    • Chua, L.O.1    Tang, Y.S.2
  • 13
    • 0020206706 scopus 로고
    • Matrix analysis of mildly nonlinear multiple-input, multiple-output systems with memory
    • Nov.
    • A. A. M. Saleh, “Matrix analysis of mildly nonlinear multiple-input, multiple-output systems with memory,” Bell Syst. Tech. J., vol. 61, no. 9, pp. 2221-2243, Nov. 1982.
    • (1982) Bell Syst. Tech. J. , vol.61 , Issue.9 , pp. 2221-2243
    • Saleh, A.A.M.1
  • 14
    • 0016091755 scopus 로고
    • Analysis of nonlinear systems with multiple inputs
    • Aug.
    • J. J. Bussgang, L. Ehrman, and J. W. Graham, “Analysis of nonlinear systems with multiple inputs,” Proc. IEEE, vol. 62, pp. 1088-1118, Aug. 1974.
    • (1974) Proc. IEEE , vol.62 , pp. 1088-1118
    • Bussgang, J.J.1    Ehrman, L.2    Graham, J.W.3
  • 15
    • 0019192353 scopus 로고
    • Applicability of white-noise nonlinear system analysis to the peripheral auditory system
    • Sept.
    • D. H. Johnson, “Applicability of white-noise nonlinear system analysis to the peripheral auditory system,” J. Acoust. Soc. Amer., vol. 68, no. 3, pp. 876-884, Sept. 1980.
    • (1980) J. Acoust. Soc. Amer. , vol.68 , Issue.3 , pp. 876-884
    • Johnson, D.H.1
  • 16
    • 50549202579 scopus 로고
    • On the response of time-variable nonlinear systems to almost periodic signals
    • V. E. Benes and I. W. Sandberg, “On the response of time-variable nonlinear systems to almost periodic signals,” J. Math. Anal. Appl., vol. 10, pp. 245-268, 1965.
    • (1965) J. Math. Anal. Appl. , vol.10 , pp. 245-268
    • Benes, V.E.1    Sandberg, I.W.2
  • 19
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    • Expansions for discrete-time nonlinear systems
    • I. W. Sandberg, “Expansions for discrete-time nonlinear systems,” Circuits, Systems, and Signal Processing, vol. 2, no. 1, pp. 77-87, 1983.
    • (1983) Circuits, Systems, and Signal Processing , vol.2 , Issue.1 , pp. 77-87
    • Sandberg, I.W.1
  • 22
    • 0004294298 scopus 로고
    • Princeton, NJ: Princeton Univ. Press
    • S. McShane, Integration. Princeton, NJ: Princeton Univ. Press, 1944.
    • (1944) Integration
    • Mcshane, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.