摘要
讨论了经典的非自治系统——弱周期参数激励下软弹簧Duffing系统的投影同步控制问题,基于Lyapunov稳定性理论,设计了简单实用的非线性反馈控制方法,给出两个系统全状态投影同步的充分条件及控制参数的取值范围.经数值仿真,得到系统在不同参数下的周期态、混沌态全投影同步,证实了设计方法的有效性和鲁棒性.最后,提出拟投影同步的新概念,采用线性反馈控制方法得到弱周期参数激励Duffing系统中全局稳定的拟周期和混沌投影同步.
Projective synchronization control of softening Duffing oscillators under weak periodic parameter excitation is proposed in the paper. Based on Lyapunov stabilization theorem and simple nonlinear feedback control method, the sufficient conditions and range of the controller＇s parameter for projective synchronization are derived. The simulations show that chaotic and periodic projective synchronization has different parameters, which verifies its effectiveness and robustness. Furthermore, a type for projective synchronizing systems, quasi-projective synchronization, is obtained by using linear control. The numerical simulations are shown for demonstration.
出处
《江南大学学报（自然科学版）》
CAS
2008年第4期397-401,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(`60575038)
关键词
非线性反馈控制
混沌态投影同步
周期态投影同步
线性控制
拟投影同步
non-linear control
chaotic projective synchronization
periodic projectivesynchronization
linear control
quasi-projective synchronization
