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.