On the convergence of a time-variant linear differential equation arising in identification

Dirk Aeyels; Rodolphe Sepulchre

Kybernetika (1994)

  • Volume: 30, Issue: 6, page 715-723
  • ISSN: 0023-5954

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Aeyels, Dirk, and Sepulchre, Rodolphe. "On the convergence of a time-variant linear differential equation arising in identification." Kybernetika 30.6 (1994): 715-723. <http://eudml.org/doc/28639>.

@article{Aeyels1994,
author = {Aeyels, Dirk, Sepulchre, Rodolphe},
journal = {Kybernetika},
keywords = {time-varying; identification; asymptotic stability},
language = {eng},
number = {6},
pages = {715-723},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the convergence of a time-variant linear differential equation arising in identification},
url = {http://eudml.org/doc/28639},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Aeyels, Dirk
AU - Sepulchre, Rodolphe
TI - On the convergence of a time-variant linear differential equation arising in identification
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 6
SP - 715
EP - 723
LA - eng
KW - time-varying; identification; asymptotic stability
UR - http://eudml.org/doc/28639
ER -

References

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  1. D. Aeyels, Stability of nonautonomous systems by Liapunov's direct method, In: the Proceedings of the Workshop Geometry in Nonlinear Control, Banach Center Publications, June 1993, to appear. (1993) 
  2. B. D. O. Anderson, Exponential Stability of linear equations arising in adaptive identification, IEEE Trans. Automat. Control 22 (1977), 84-88. (1977) Zbl0346.93014MR0446667
  3. H. K. Khalil, Nonlinear Systems, McMillan Publishing Company, New York 1992. (1992) Zbl0969.34001MR1201326
  4. T. Kohonen, Self-organization and associative memory, (Springer Ser. Inform. Sci. 8.) Springer-Verlag, Berlin 1988. (1988) Zbl0659.68100MR0930103
  5. G. Kreisselmeier, Adaptive observers with exponential rate of convergence, IEEE Trans. Automat. Control 22 (1977), 1, 2-8. (1977) Zbl0346.93043MR0444142
  6. K. S. Narendra, A. M. Annaswamy, Persistent excitation in adaptive systems, Internat. J. Control 45 (1987), 1, 127-160. (1987) Zbl0627.93041MR0872979
  7. N. Rouche P. Habets, M. Laloy, Stability Theory by Liapunov's Direct Method, Springer-Verlag, New York 1977. (1977) MR0450715

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