Controlling hopf bifurcations: Discrete-time systems

Abstract

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.

Keywords

• Feedback control
• Hopf bifurcation
• Limit cycle
• Period-doubling bifurcation
• Stability.