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A secure key agreement protocol based on chaotic maps
  • 期刊名称：Chinese Physics B
  • 时间：2013.11.1
  • 页码：110503-
  • 分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]大连理工大学电子信息与电气工程学部,大连116024, [2]阜阳师范学院计算机与信息工程学院,阜阳236041
  • 相关基金：国家自然科学基金（61370145,61173183）,安徽省高校省级自然科学基金（KJ2012A214）
  • 相关项目：高维系统混沌特性及其符号动力学同步方法的研究
作者： 王兴元|栾大鹏|
关键词： 超混沌复系统, 广义组合复同步, 参数辨识, 自适应控制, Hyperchaotic complex systems, Parameter identification, Adaptive control
中文摘要：

该文针对含未知参数的异结构超混沌复系统，基于自适应控制及Lyapunov稳定性理论，提出一种新的自适应广义组合复同步方法（GCCS）。首先给出广义组合复同步的定义，将驱动-响应系统的同步问题转化为误差系统零解的稳定性问题；然后从理论上设计了非线性反馈同步控制器及参数辨识更新律，并引入误差反馈增益，以控制同步的收敛速度；最后以超混沌复Lorenz系统、超混沌复Chen系统、超混沌复Lú系统的广义组合复同步与参数估计为例，从数值仿真角度验证了所提方法的正确性和有效性。

英文摘要：

Based on adaptive control and Lyapunov stability theory, a novel adaptive Generalized Combination Complex Synchronization （GCCS） scheme is proposed for nonidentical hyperchaotic complex systems with unknown parameters. Firstly, the definition of GCCS is presented, and synchronization of drive-response systems is transformed to the zero solution analysis of the error dynamical system. Secondly, a nonlinear feedback controller and parameter update laws are theoretically designed, wherein error feedback gains are introduced to control synchronization speed. Finally, GCCS among the hyperchaotic complex Lorenz system, complex Chen system, and complex L＆#252; system is carried out to verify the correctness and effectiveness of the proposed scheme by numerical simulation.

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