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Passivity analysis of coupled neural networks with reaction-diffusion terms and mixed delays

机译:具有反应扩散项和混合时滞的耦合神经网络的无源性分析

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摘要

In this paper, we intend to discuss the passivity of coupled neural networks (NNs) with reaction-diffusion terms and mixed delays. By constructing appropriate Lyapunov functional, and with the help of liner matrix inequalities, some inequality techniques, several sufficient conditions are derived to guarantee the output strictly passive, input strictly passive, passive of the proposed neural network model. Then, a stability criterion is presented according to the obtained passivity results. Moreover, the proposed neural network model herein is more general than some recent studies, which can improve and enrich the previous research results. Finally, a numerical example is presented to show the effectiveness of the theoretical criteria. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:在本文中,我们打算讨论带有反应扩散项和混合时滞的耦合神经网络的无源性。通过构造适当的Lyapunov泛函,并借助线性矩阵不等式,一些不等式技术,导出了几个充分条件,以保证所提出的神经网络模型的输出严格为被动,输入严格为被动,被动。然后,根据获得的被动性结果提出稳定性判据。而且,本文提出的神经网络模型比一些最近的研究更通用,可以改善和丰富先前的研究结果。最后,通过数值例子说明了该理论标准的有效性。 (C)2018富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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  • 来源
    《Journal of the Franklin Institute》 |2018年第17期|8915-8933|共19页
  • 作者单位

    Huazhong Univ Sci & Technol, Sch Automat, Wuhan, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Sch Automat, Wuhan, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Sch Automat, Wuhan, Hubei, Peoples R China;

    Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar;

    Huazhong Univ Sci & Technol, Sch Automat, Wuhan, Hubei, Peoples R China;

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  • 入库时间 2022-08-18 04:10:04

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