| Title:
|
Bifurcations and chaos in a periodically forced prototype adaptive control system (English) |
| Author:
|
Kuznetsov, Yuri A. |
| Author:
|
Piccardi, Carlo |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
121-128 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C23 |
| MSC:
|
34H05 |
| MSC:
|
93C10 |
| MSC:
|
93C40 |
| idZBL:
|
Zbl 0800.93688 |
| idMR:
|
MR1283489 |
| . |
| Date available:
|
2009-09-24T18:45:32Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125006 |
| . |
| Reference:
|
[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. |
| Reference:
|
[2] F. R. Rubio J. Aracil, E. F. Camacho: Chaotic motion in an adaptive control system.Internat. J. Control 42 (1985), 353-360. MR 0803945 |
| Reference:
|
[3] F. M. A. Salam, S. Bai: Disturbance-generated bifurcations in a simple adaptive system: simulation evidence.Systems Control Lett. 7 (1986), 269-280. Zbl 0595.93039, MR 0850444 |
| Reference:
|
[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. Zbl 0654.93042, MR 0947813 |
| Reference:
|
[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. MR 0959029 |
| Reference:
|
[6] I. M. Y. Mareels, R. R. Bitmead: Bifurcation effects in robust adaptive control.IEEE Trans. Circuits and Systems CAS-35 (1988), 835-841. Zbl 0658.93050, MR 0947812 |
| Reference:
|
[7] P. A. Ioannou, P. V. Kokotovic: Instability analysis and improvement of robustness of adaptive control.Automatica 20 (1984), 583-594. Zbl 0548.93050, MR 0772226 |
| Reference:
|
[8] B. Riedle B. Cyr, P. V. Kokotovic: Disturbance instabilities in an adaptive system.IEEE Trans. Automat. Control AC-29 (1984), 822-824. |
| Reference:
|
[9] V. I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations.Springer-Verlag, New York 1983. Zbl 0507.34003, MR 0695786 |
| Reference:
|
[10] J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.Springer-Verlag, New York 1983. Zbl 0515.34001, MR 0709768 |
| Reference:
|
[11] R. Seydel: Tutorial on continuation.Internat. J. Bifurcation and Chaos 1 (1991), 3-11. Zbl 0760.34014, MR 1104538 |
| Reference:
|
[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. MR 1207433 |
| . |
