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含有不确定项的混沌系统自适应修正函数投影同步
Adaptive modified function projective synchronization of a class of chaotic systems with uncertainties
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摘要: 针对一类含有不确定项的混沌系统修正函数投影同步问题,提出了自适应修正函数投影同步方法.根据Lyapunov稳定性理论,给出了两种响应系统的设计方案,并设计了控制器和自适应律.研究表明,所设计的控制策略对外界干扰有较强的鲁棒性,且不需要事先己知不确定项的上界,通过引入加速因子,可任意配置同步响应速度,具有较高的使用价值.理论分析及仿真结果验证了该方法的有效性.Abstract: In this paper,we primarily investigate the adaptive modifying function projective synchronization of a class of chaotic systems with uncertainties.According to the Lyapunov stability theory,the two schemes of obtaining the response system from chaotic system are established,and the controller and the adaptive law are designed.The approach is more robust to noise and external interference, and does not need the upper bound of uncertainties in advance.In addition,it can adjust the system response rapidly by adjusting the accelerated factor.This method is more practical.Numerical simulations of a hyper-chaotic system verify the effectiveness of the proposed method.
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