Asymptotic stabilization control of Nadolschi hyperchaotic systems with unknown parameters

This paper considers the asymptotic stabilization problem of a class of novel hyperchaotic systems with unknown parameters. Based on the adaptive theory, a novel adaptive feedback controller is designed to stabilize the considered Naodolschi hyperchaotic system to the zero equilibrium asymptotically. The asymptotic stability of the closed-loop system is proved based on Lyapunov stability theory. Simulation results demonstrate effectiveness of the proposed hyperchaotic suppression method.