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Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays

机译：具有混合时滞的混沌神经网络指数同步的脉冲控制器设计

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摘要

This paper considers the chaotic synchronization problem of neural networks with time-varying and distributed delays using impulsive control method. By utilizing the stability theory for impulsive functional differential equations, several impulsive control laws are derived to guarantee the exponential synchronization of neural networks with time-varying and distributed delays. It is shown that chaotic synchronization of the networks is heavily dependent on the designed impulsive controllers. Moreover, these conditions are expressed in terms of LMI and can be easily checked by MATLAB LMI toolbox. Finally, a numerical example and its simulation are given to show the effectiveness and advantage of the proposed control schemes.
机译：本文采用脉冲控制方法研究了具有时变和分布时滞的神经网络的混沌同步问题。通过将稳定性理论用于脉冲泛函微分方程，推导了几种脉冲控制律，以保证具有时变和分布时滞的神经网络的指数同步。结果表明，网络的混沌同步在很大程度上取决于设计的脉冲控制器。此外，这些条件以LMI表示，可以通过MATLAB LMI工具箱轻松检查。最后，通过数值算例和仿真验证了所提控制方案的有效性和优越性。

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