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Controlling Hopf bifurcations: discrete-time systems. (English) Zbl 1229.93113
Summary: 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.

MSC:
93C55 Discrete-time control/observation systems
93B52 Feedback control
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