【摘要】 基于Lyapunov稳定性理论,设计合适的非线性反馈控制器以及参数更新规则,实现一类混沌系统的自适应广义投影同步.该控制器既可以适用于不包含未知参数的广义投影同步,又适用于包含未知参数的自适应广义投影同步.以新型四维超混沌系统为例,考虑含有未知参数和不含有未知参数的两种情况,从而实现驱动系统和响应系统渐近地达到所有状态向量的按照不同比例广义投影同步,同时辨识出系统的未知参数.数值模拟结果表明了所设计控制器的有效性.更多还原

【Abstract】 A nonlinear controller of modified generalized projected synchronization and the parameter update rule are designed based on the Lyapunov stability theory.It is proved that the controller and update rule can make all full states of the drive system and the response system asymptotically generalized projected synchronization and adaptive synchronization for a new hyperchaotic system.And identify the system’s unknown parameters.The numerical simulation provided for the effectiveness of the theoretical analysis.更多还原