Bifurcations and chaos in a periodically forced prototype adaptive control system

Yuri A. Kuznetsov; Carlo Piccardi

Kybernetika (1994)

  • Volume: 30, Issue: 2, page 121-128
  • ISSN: 0023-5954

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Kuznetsov, Yuri A., and Piccardi, Carlo. "Bifurcations and chaos in a periodically forced prototype adaptive control system." Kybernetika 30.2 (1994): 121-128. <http://eudml.org/doc/28161>.

@article{Kuznetsov1994,
author = {Kuznetsov, Yuri A., Piccardi, Carlo},
journal = {Kybernetika},
language = {eng},
number = {2},
pages = {121-128},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Bifurcations and chaos in a periodically forced prototype adaptive control system},
url = {http://eudml.org/doc/28161},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Kuznetsov, Yuri A.
AU - Piccardi, Carlo
TI - Bifurcations and chaos in a periodically forced prototype adaptive control system
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 2
SP - 121
EP - 128
LA - eng
UR - http://eudml.org/doc/28161
ER -

References

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  1. B. Cyr B. Riedle, P. Kokotovic, Hopf bifurcation in an adaptive system with unmodeled dynamics, In: Proc. IFAC Workshop on Adaptive Systems in Control and Signal Processing, San Francisco, CA 1983. (1983) 
  2. F. R. Rubio J. Aracil, E. F. Camacho, Chaotic motion in an adaptive control system, Internat. J. Control 42 (1985), 353-360. (1985) MR0803945
  3. F. M. A. Salam, S. Bai, Disturbance-generated bifurcations in a simple adaptive system: simulation evidence, Systems Control Lett. 7 (1986), 269-280. (1986) Zbl0595.93039MR0850444
  4. F. M. A. Salam, S. Bai, Complicated dynamics of a prototype continuous-time adaptive control system, IEEE Trans. Circuits and Systems CAS-35 (1988), 842-849. (1988) Zbl0654.93042MR0947813
  5. S. Bai, F. M. A. Salam, Disturbance generated bifurcation in a prototype adaptive system with e 1 -modification law, IEEE Trans. Automat. Control AC-33 (1988), 979-984. (1988) MR0959029
  6. I. M. Y. Mareels, R. R. Bitmead, Bifurcation effects in robust adaptive control, IEEE Trans. Circuits and Systems CAS-35 (1988), 835-841. (1988) Zbl0658.93050MR0947812
  7. P. A. Ioannou, P. V. Kokotovic, Instability analysis and improvement of robustness of adaptive control, Automatica 20 (1984), 583-594. (1984) Zbl0548.93050MR0772226
  8. B. Riedle B. Cyr, P. V. Kokotovic, Disturbance instabilities in an adaptive system, IEEE Trans. Automat. Control AC-29 (1984), 822-824. (1984) 
  9. V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, New York 1983. (1983) Zbl0507.34003MR0695786
  10. J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York 1983. (1983) Zbl0515.34001MR0709768
  11. R. Seydel, Tutorial on continuation, Internat. J. Bifurcation and Chaos 1 (1991), 3-11. (1991) Zbl0760.34014MR1104538
  12. A. I. Khibnik, Yu. A. Kuznetsov V. V. Levitin, E. V. Nikolaev, Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps, Phys. D 62 (1993), 360-370. (1993) MR1207433

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