Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay

Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay
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带延迟的分数阶复值忆阻器神经网络的有限时间投影同步

DOI:
10.1016/j.chaos.2019.07.043
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发表时间:
2019
影响因子:
7.8
通讯作者:
Deng Shengfu
Deng Shengfu
中科院分区:
数学1区
文献类型:
--
作者:
Zhang Yanlin;Deng Shengfu

文献摘要

被引文献

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研究了具有时延的分数阶复值忆阻器神经网络的有限时间投影同步。利用集值映射、微分包含理论和Gronwall-Bellman积分不等式,建立了FCVMNN实现有限时间投影同步的充分判据。文中还估计了同步建立时间的上界。此外,设计了两个数值算例,验证了理论结果的正确性和有效性。
This paper studies the finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks (FCVMNNs) with delay. By applying the set-valued map, the differential inclusion theory and Gronwall–Bellman integral inequalities, some sufficient criteria are established to achieve the finite time projective synchronization of the FCVMNNs. The upper bound of the settling time for synchronization is also estimated. Moreover, two numerical examples are designed to verify the correctness and effectiveness of the obtained theoretical results.