参数不匹配下含有泄露时滞与多个传输时滞的分数阶忆阻器神经网络的拟同步

Quasi-synchronization of fractional-order memristor-based neural networks with leakage delay under parameter mismatches

本文主要讨论了一类在参数不匹配之下带有多个传输时滞与泄露时滞的分数阶忆阻器神经网络的拟同步问题.首先,给出了时滞线性反馈控制器;然后,根据分数阶微分包含、集合值映射理论和分数阶微分不等式理论等,得出了主从系统达到拟同步所满足的条件以及所对应的误差边界;最后,给出了一些数值模拟验证所得结论的有效性.

In this paper,we mainly discuss the quasi-synchronization problem of a class of fractional-order memristor-based neural networks with multiple transmission delays and leakage delay under parameter mismatches.Firstly,the delay linear feedback controller is given,then according to the theory of fractional-order differential inclusion,set-valued maps,fractional-order differential inequality theory and so on,the conditions for the master-slave systems to reach the quasi-synchronization and the corresponding error bounds are obtained.Finally,some corresponding numerical simulations are given to demonstrate the effectiveness of the obtained results.