Generalized projective lag synchronization between different hyperchaotic systems with uncertain parameters

被引：0
|
作者：
Xiang-Jun Wu
Hong-Tao Lu
机构：
[1] Henan University,Department of Computing Center, Institute of Complex Intelligent Network System
[2] Shanghai Jiao Tong University,Department of Computer Science and Engineering
来源：
Nonlinear Dynamics | 2011年 / 66卷
关键词：
Generalized projective lag synchronization (GPLS); Hyperchaotic system; Adaptive control; Parameter estimation; the scaling matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Generalized projective lag synchronization (GPLS) is characterized by the output of the drive system proportionally lagging behind the output of the response system. In this paper, GPLS between different hyperchaotic systems with uncertain parameters, i.e., GPLS between Lorenz and Lü hyperchaotic systems, and between Lorenz–Stenflo and Lorenz hyperchaotic systems, is studied by applying an adaptive control method. Based on Lyapunov stability theory, the adaptive controllers and corresponding parameter update rules are constructed to make the states of two diverse hyperchaotic systems asymptotically synchronize up to the desired scaling matrix and to estimate the uncertain parameters. Some numerical simulations are provided to show the effectiveness of our results.
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页码：185 / 200
页数：15
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