A FREQUENCY-ANALYTIC APPROACH FOR CONTROLLING NEIMARK-SACKER BIFURCATIONS

A frequency-analytic methodology for controlling the amplitudes and stability of Neimark-Sacker bifurcations exhibited by discrete-time systems is presented. The proposed controller consists of a nonlinear static feedback law and a highpass filter used to preserve the dynamical behaviors of the system's equilibria. A simple example is included to illustrate the application of the method.