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Discrete Dynamics in Nature and Society
Volume 5, Issue 1, Pages 29-33

Controlling hopf bifurcations: Discrete-time systems

1Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204, USA
2China Institute of Atomic Energy, P.O. Box 275-27, Beijing 102413, China
3lnstitute of Systems Science, Academia Sinica, Beijing 100080, China

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the methodology and to verify the theoretical results.