Globally exponential synchronization of 4D four-wing hyperchaotic systems

Abstract

The globally exponential synchronization (GES) was proved based on the Lyapunov theorem for globally exponential stability. To demonstrate the theoretical predictions, the GES of 4D four-wing hyperchaotic systems was studied. Therefore, four nonlinear control laws were designed to obtain GES of the four-wing hyperchaotic system. The effectiveness of the control laws is demonstrated by using of both numerical and theoretical analysis.