Dynamics of Adaptive Systems

IEEE Transactions on Circuits and Systems

Volumn 37, Issue 4, 1990, Pages 547-550

  Huberman, B A ^a   Lumer, E ^b  

^a PALO ALTO RESEARCH CENTER   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, NONLINEAR;

CHAOTIC BURSTS; CHAOTIC DYNAMICS;

CONTROL SYSTEMS, ADAPTIVE;

EID: 0025415007     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.52759     Document Type: Article

References (18)

1. See, for example, B. D. O. Anderson et al., Stability Analysis of Adaptive Systems: Passivity and Averaging Analysis. Cambridge. MA: MIT Press, 1986.
2. I. M. Y. Mareels and R. R. Bitmead, “Bifurcation effects in robust adaptive control,” IEEE Trans. Circuits Syst., vol. 35, pp. 835–841, July 1988.
3. —, “On the dynamics of an equation arising in adaptive control,” in Proc. 25th IEEE Conf. on Decision and Control. Athens, Greece, pp. 1161–1166, 1986.
4. F. M. A. Salam and S. Bai, “Complicated dynamics of a prototype continuous-time adaptive control system,” IEEE Trans. Circuits Syst., vol. 35, pp. 842–849, July 1988.
5. A. Hubler and E. Luscher, “Resonant stimulation and control of nonlinear oscillators,” TUM preprint LR 3895, 1988.
6. A. Hubler, “Adaptive control of chaotic systems,” TUM preprint LR 3895, 1988.
7. R. King, J. D. Barchas, and B. A. Huberman, “Theoretical psy-chopathology: An application of dynamical systems theory to human behavior,” in Synergetics of the Brain. (E. Basar, H. Flohr, and H. Haken, Eds.) New York: Springer-Verlag, pp. 352–364, 1983.
8. R. L. Swinth. Organizational Systems for Management: Designing, Planning and Implementation, Columbus. OH; Grid, 1974.
9. B. Widrow and S. D. Stearns. Adaptive Signal Processing. Englewood Cliffs. NJ: Prentice-Hall, 1985.
10. L. B. Almeida, “Backpropagation in perceptrons with feedback,” nato ASI Scries, vol. F41. Neural Computers. R. Eckmiller and Ch. Masburg. Springer-Verlag, 1988.
11. H. G. Schuster. Deterministic Chaos. VCH Weinheim, 1988.
12. B. A. Huberman and T. Hogg, “The Behavior of Computational Ecologies,” in The Ecology of Computation, B. A. Huberman. Ed. North-Holland pp. 77–116, 1988.
13. B. D. O. Anderson, “Adaptive Systems. Lack of Persistency of Excitation and Bursting Phenomena,” Automatica, vol. 21, no. 3, pp. 247–258, 1985.
14. O. Macchi and M. Jaidane-Saidane, “Stability of Adaptive Recursive Filters,” IEEE International Conference on Acoustics. Speech, and Signal Processing, vol. 3, pp. 1503–1505, 1988.
15. W. A. Sethares, C. R. Johnson, Jr, and C. E. Rohrs, “Analysis of Bursting in Telephony Loops with Adaptive Hybrids,” IEEE International Conference on Acoustics. Speech, and Signal Processing, vol. 3, pp. 1612–1615, 1988.
16. B. A. Huberman and W. Wolff, “Finite precision and transient behavior,” Phys. Rev. A, vol. 32, pp. 3768–3771, 1985.
17. W. Wolff and B. A. Huberman, “Transients and asymptotics in granular phase space,” Z. Phys. B, vol. 63, pp. 397–405, 1986.
18. R. Ramaswamy. private communication, 1989.