基于改进的主动控制法实现混沌系统广义投影同步

摘要

Based on Lyapunov stability theory, by introducing a special matrix structure, a modified active control is proposed for the generalized projective synchronization of chaotic system. Compared with the traditional active control, the modified active control is independent of the Routh-Hurwitz criterion, which means the complexity of active control is simplified.The method is successfully applied to the energy resource system and nuclear spin generator system. Compared with other method, the proposed method, which could realize the generalized projective synchronization between both identical systems and different systems, is shown to be simple, direct, stable and efficient. Numerical simulation is provided to show the validity of the theoretical analysis and the effectiveness of the method.%通过引进特殊矩阵构造并基于Lyapunov稳定性理论,提出了一种改进的主动控制法来实现混沌系统的广义投影同步.改进后的主动控制不依赖于罗斯-霍维兹判据,与未改进的主动控制相比,简化了相关运算步骤和复杂度.通过对混沌能源系统和Nuclear Spin Generator系统的研究,并与其他同步方法进行比较,说明了该方法具有简单,直观,稳健,高效等优点,且对混沌系统的自结构和异结构广义投影同步均适用.数值模拟的结果进一步表明了该方法的有效性和理论分析的正确性.