Hybrid Adaptive Synchronization of Hyperchaotic Systems with Fully Unknown Parameters
Hybrid Adaptive Synchronization of Hyperchaotic Systems with Fully Unknown Parameters作者机构：Mathematics Department Faculty of Science University of Ha’il Ha’il KSA
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2013年第4卷第12期
页 面：1621-1628页
学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学]
主 题：Hybrid Synchronization Adaptive Control Unknown Parameters Hyperchaotic System
摘 要：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.
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