Feedback linearization control of a class of discrete chaotic predator-prey system

摘要

In allusion to complex dynamic behaviors such as bifurcation and chaos in a discrete predator-prey model, presence of chaos is validated by computing Lyapunov exponent measure method and giving the bifurcation portrait with parameter in the system. By applying the feedback linearization method to control the chaos to unstable fixed points, chaos trajectory in the system is controlled in the anticipant trajectory and chaos phenomenon is eliminated. The correctness and feasibility of the theory is validated by simulation.