Adaptive fixed-time control and synchronization for hyperchaotic Lü systems

摘要

In this paper, the problems of fixed-time control and synchronization control for a class of hyperchaotic Lü systems with uncertain parameters are investigated. On the basis of the adaptive backstepping control method and the fixed-time stability theory, two improved adaptive fixed-time control schemes are proposed, which can suppress the hyperchaotic phenomenon and achieve the synchronize for two identical hyperchaotic Lü systems, respectively. The theoretical results are supported by simulation results.