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中文摘要：
对于2阶Duffing系统与3阶单模激光Lorenz系统,用主动控制方法设计了一种同步控制器,实现二者之间的缩阶反同步。依据罗斯-霍维兹判据,给出误差系统在原点处渐进稳定的条件。数值试验证实：在控制器作用下,2阶Duffing系统的状态变量与3阶单模激光Lorenz投影子系统的状态变量振动的幅值相同但方向相反,且在随机噪声干扰下反同步仍能很好地实现。这表明所设计的控制器对于不同阶的Duffing系统与Lorenz系统的缩阶反同步的实现是可行的、有效的,而且具有很好的鲁棒性。
英文摘要：
A controller was designed with the active control method to realize the reduced order anti-synchronization between a 2-order Duffing system and a 3-order single-model laser Lorenz system.Based on Routh-Hurwitz criteria,the conditions for the error dynamic system to be asymptotically stablized at the origin were given.The numerical experiments verify that the state variables of the 2-order Duffing system and the projection subsystem of the 3-order single-model laser Lorenz system vibrate with the same amplitude but opposite direction when the designed controller is used.The anti-synchronization is achieved under random noise interference.It proves that the designed controller is feasible and effective,and has better robustness for achieving the reduced order anti-synchronization between different order Duffing system and Lorenz system.
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