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Volumn 31, Issue 5, 1986, Pages 471-474

On Almost Sure Convergence of Adaptive Algorithms

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - ALGORITHMS;

EID: 0022722986     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1986.1104303     Document Type: Article
Times cited : (18)

References (10)
  • 1
    • 33846451627 scopus 로고
    • A learning method for system identification
    • J. Nagumo and A. Noda “A learning method for system identification,” IEEE Trans. Automat. Contr., vol. AC-12, pp. 282–287, 1967.
    • (1967) IEEE Trans. Automat. Contr. , vol.AC-12 , pp. 282-287
    • Nagumo, J.1    Noda, A.2
  • 2
    • 0019047343 scopus 로고
    • Performance of adaptive estimation in dependent random environments
    • R. R. Bitmead and B. D. O. Anderson “Performance of adaptive estimation in dependent random environments,” IEEE Trans. Automat. Contr., vol. AC-25, pp. 788–794, 1980.
    • (1980) IEEE Trans. Automat. Contr. , vol.AC-25 , pp. 788-794
    • Bitmead, R.R.1    Anderson, B.D.O.2
  • 3
    • 0016987049 scopus 로고
    • Stationary and non-stationary learning characteristics of the LMS adaptive filter
    • B. Widrow et al., “Stationary and non-stationary learning characteristics of the LMS adaptive filter,” Proc. IEEE, vol. 64, pp. 1151–1162, 1976.
    • (1976) Proc. IEEE , vol.64 , pp. 1151-1162
    • Widrow, B.1
  • 4
    • 84941499376 scopus 로고
    • An investigation of adjustment gain design in stationary and non-stationary LMS adaptive filtering
    • Arlington. VA, June
    • T. C. Hsia and S. Sugimoto, “An investigation of adjustment gain design in stationary and non-stationary LMS adaptive filtering.” in Proc. 6th IFAC Conf. Identification, Arlington. VA, June 1982, pp. 1196–1201.
    • (1982) Proc. 6th IFAC Conf. Identification , pp. 1196-1201
    • Hsia, T.C.1    Sugimoto, S.2
  • 5
    • 0001549366 scopus 로고
    • Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems
    • R. Z. Khazminskii “Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems,” Theory Probability Appl., vol. 12, pp. 144–147, 1967.
    • (1967) Theory Probability Appl. , vol.12 , pp. 144-147
    • Khazminskii, R.Z.1
  • 6
    • 0019049427 scopus 로고
    • Lyapunov techniques for the exponential stability of linear difference equation with random coefficients
    • R. R. Bitmead and B. D. O. Anderson, “Lyapunov techniques for the exponential stability of linear difference equation with random coefficients.” IEEE Trans. Automat. Contr., vol. AC-25, pp. 782–787, 1980.
    • (1980) IEEE Trans. Automat. Contr. , vol.AC-25 , pp. 782-787
    • Bitmead, R.R.1    Anderson, B.D.O.2
  • 7
    • 0018543302 scopus 로고
    • Digital adaptive filters…
    • A. Weiss and D. Mitra. “Digital adaptive filters….” IEEE Trans. Inform. Theory, vol. IT-25, pp. 637–652, 1979.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , pp. 637-652
    • Weiss, A.1    Mitra, D.2
  • 8
    • 0000513363 scopus 로고
    • Products of random matrices
    • H. Furstenberg and H. Kesten, “Products of random matrices,” Ann. Math. Statist., vol. 31, pp. 457–469, 1960.
    • (1960) Ann. Math. Statist. , vol.31 , pp. 457-469
    • Furstenberg, H.1    Kesten, H.2
  • 9
    • 0019930063 scopus 로고
    • Exponential convergence of adaptive identification and control algorithms
    • B. D. O. Anderson and C. R. Johnson, Jr., “Exponential convergence of adaptive identification and control algorithms,” Autotnatica, vol. 18, pp. 1–13, 1982.
    • (1982) Autotnatica , vol.18 , pp. 1-13
    • Anderson, B.D.O.1    Johnson, C.R.2
  • 10
    • 0003981320 scopus 로고
    • New York: Van Nostrand-Reinhold
    • M. Loeve, Probability Theory. New York: Van Nostrand-Reinhold. 1960.
    • (1960) Probability Theory
    • Loeve, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.