利用矩阵测量方法实现分数阶时延神经网络的同步化

S. Jose, V. Parthiban
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摘要

本研究深入探讨了如何利用矩阵度量方法(MMA)实现包含时间延迟的分数阶神经网络(FONNs)的同步。本研究在矩阵度量框架内采用了一种基于分数阶似导数的新方法,引入了一套在从属系统(FONNs)内实现控制输入的标准。所提出的分数阶标准包含多种条件,与 MMA 固有的几个充分条件相一致。建立了从系统和主系统之间的同步,确保了它们之间的渐进稳定性。最后,通过给出数值结果,得出了 FONNs 同步的有效性。
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Synchronization of fractional order time delayed neural networks using matrix measure approach

This research delves into the utilization of the matrix measure approach (MMA) for the synchronization of fractional order neural networks (FONNs) incorporating time delays. This study introduces a set of criteria for achieving control input within the slave system (FONNs), employing a novel approach based on fractional order Dini-like derivatives within the matrix measure framework. The proposed criteria formulated in fractional order, encompass diverse conditions that align with several sufficient conditions inherent in MMA. Synchronization between the slave and master system is established, ensuring the asymptotic stability between them. Finally, by presenting the numerical result, the efficacy of FONNs synchronization is obtained.

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