TITLE:
Hybrid Adaptive Synchronization of Hyperchaotic Systems with Fully Unknown Parameters
AUTHORS:
M. Mossa Al-sawalha
KEYWORDS:
Hybrid Synchronization; Adaptive Control; Unknown Parameters; Hyperchaotic System
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
November
21,
2013
ABSTRACT: In this paper, an adaptive control scheme is developed to study the hybrid synchronization behavior between two identical and different hyperchaotic systems with unknown parameters. This adaptive hybrid synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. The adaptive hybrid synchronization between two identical systems (hyperchaotic Chen system) and different systems (hyperchaotic Lorenz and hyperchaotic systems) are taken as two illustrative examples to show the effectiveness of the proposed method. Theoretical analysis and numerical simulations are shown to verify the results.