摘要
针对最新研究的简化Lorenz混沌系统模型,分别采用比例投影同步和广义函数投影同步控制策略,研究了两个不同初值的简化Lorenz混沌系统的同步问题。基于罗斯-霍尔维兹准则和Lyapunov稳定性原理,推导了实现两混沌系统投影同步的同步定理,确定了实现投影同步的控制参数的取值范围;分析了控制参数对同步系统性能的影响规律。基于Matlab/Simulink的动态仿真研究表明,该投影同步控制方法是有效的。
To the simplified Lorenz chaotic system proposed recently, the synchronization issue of two simplified Lorenz chaotic systems with different initial conditions is investigated by applying projective synchronization and generalized function projective synchronization approach respectively. Based on Routh-Hurwitz stability criterion and Lyapunov stability principle, two synchronization theorems are deduced, and the range of control parameters is determined. The relations between the synchronization performances with the control parameters are discussed. Dynamic simulation results on Simulink show that it is effective for the projective synchronization methods.
出处
《电路与系统学报》
CSCD
北大核心
2011年第1期7-11,19,共6页
Journal of Circuits and Systems
基金
中国博士后基金资助项目(20070420774)
国家自然科学基金资助课题(60672041)
