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带惯性项的 Cohen-Grossberg 随机神经网络的同步分析。

The Synchronization Analysis of Cohen-Grossberg Stochastic Neural Networks with Inertial Terms.

机构信息

Yuanpei College of Shaoxing University, Shaoxing, Zhejiang, China.

出版信息

Comput Intell Neurosci. 2022 May 25;2022:2377664. doi: 10.1155/2022/2377664. eCollection 2022.

DOI:10.1155/2022/2377664
PMID:35665274
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9159847/
Abstract

The exponential synchronization (ES) of Cohen-Grossberg stochastic neural networks with inertial terms (CGSNNIs) is studied in this paper. It is investigated in two ways. The first way is using variable substitution to transform the system to another one and then based on the properties of integral, differential operator, and the second Lyapunov method to get a sufficient condition of ES. The second way is based on the second-order differential equation, the properties of calculus are used to get a sufficient condition of ES. At last, results of the theoretical derivation are verified by virtue of two numerical simulation examples.

摘要

本文研究了具有惯性项的 Cohen-Grossberg 随机神经网络的指数同步（ES）。本文采用了两种方法进行研究。第一种方法是通过变量替换将系统转化为另一个系统，然后基于积分、微分算子的性质和第二 Lyapunov 方法得到 ES 的充分条件。第二种方法是基于二阶微分方程，利用微积分的性质得到 ES 的充分条件。最后，通过两个数值模拟例子验证了理论推导的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/29199ab769ad/CIN2022-2377664.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/4c8b4a8c5a87/CIN2022-2377664.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/6e5c054fd6dc/CIN2022-2377664.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/9f2b899f5cff/CIN2022-2377664.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/634fbc1c9fd3/CIN2022-2377664.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/8f550ac1893d/CIN2022-2377664.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/29199ab769ad/CIN2022-2377664.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/4c8b4a8c5a87/CIN2022-2377664.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/6e5c054fd6dc/CIN2022-2377664.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/9f2b899f5cff/CIN2022-2377664.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/634fbc1c9fd3/CIN2022-2377664.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/8f550ac1893d/CIN2022-2377664.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9561/9159847/29199ab769ad/CIN2022-2377664.006.jpg

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本文引用的文献

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2
Global Exponential Stability and Synchronization for Discrete-Time Inertial Neural Networks With Time Delays: A Timescale Approach.具有时滞的离散时间惯性神经网络的全局指数稳定性与同步：一种时间尺度方法
IEEE Trans Neural Netw Learn Syst. 2019 Jun;30(6):1854-1866. doi: 10.1109/TNNLS.2018.2874982. Epub 2018 Oct 30.
3
Novel Finite-Time Synchronization Criteria for Inertial Neural Networks With Time Delays via Integral Inequality Method.
IEEE Trans Neural Netw Learn Syst. 2019 May;30(5):1476-1485. doi: 10.1109/TNNLS.2018.2868800. Epub 2018 Oct 2.
4
Global exponential synchronization of multiple coupled inertial memristive neural networks with time-varying delay via nonlinear coupling.通过非线性耦合实现时变延迟的多个耦合惯性忆阻神经网络的全局指数同步。
Neural Netw. 2018 Dec;108:260-271. doi: 10.1016/j.neunet.2018.08.020. Epub 2018 Sep 5.
5
Impulsive synchronization of stochastic reaction-diffusion neural networks with mixed time delays.随机反应扩散神经网络的混合时滞脉冲同步。
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6
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