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中文摘要：
研究了一类时滞驱动-响应动力网络投影同步问题,其中网络节点不要求是部分线性的,且比例因子可以彼此不同.将比例因子分为有限定条件和无限定条件两种情形进行讨论,基于Lya-punov稳定性理论和脉冲控制方法,给出了驱动-响应动力网络关于不同比例因子的一些投影同步准则,其中有限定条件时,不需要增加额外的控制器;没有限定条件时,只要给每个节点增加简单的控制器即可实现同步.最后利用带有时滞的Hopfield神经网络作为节点动力学构成时滞驱动-响应动力网络进行数值仿真,理论分析和数值模拟结果均表明了这些同步准则的有效性.
英文摘要：
The projective synchronization of time-delayed drive-response dynamical network was investigated.The nodes did not need to be partially linear,and the scale factors might be different from each other.The scale factors were discussed under limited and unlimited conditions.Based on the Lyapunov stability theorem and impulsive control method,some projective synchronization rules of drive-response dynamical network with different scale factors were proposed.The synchronization was realized without any extra controller under limited conditions,while under unlimited conditions,it just needed a simple control to every node.The drive-response network was simulated through time-delayed Hopfield neural network as nodes dynamics.The validity of these synchronization criteria is proved by theoretical analysis and numerical simulation results.
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