摘要
构造了一个具有三个非线性二次项的新分数阶混沌系统,分析了其基本的混沌动力学特性,并应用Laplace变换实现了新系统的混沌控制。基于Lyapunov理论和分数阶混沌系统稳定性理论,得到同时实现新分数阶混沌系统自适应同步和参数辨识的充分条件,并通过数值仿真,验证了结论的正确性。
A novel fractional-order chaotic system with three non-linearity quadratic terms was constructed and its basic chaotic dynamical behavior was analyzed.The control of the new chaotic system was realized by Laplace transform. Based on Lyapunov stability theory and fractional-order chaotic system stability theory, the sufficient condition of syn-chronization of the new fractional-order chaotic system was obtained.Further, adaptive control laws were derived to a-chieve chaos synchronization of the new chaotic systems with unknown parameters.Numerical simulation demonstrates the correctness of the method.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2014年第2期76-83,88,共9页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金青年基金资助项目(11202249)
关键词
分数阶混沌系统
自适应控制
同步
fractional-order chaotic system
adaptive control
synchronization
