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Leakage delay-dependent stability analysis for complex-valued neural networks with discrete and distributed time-varying delays

机译:具有离散和分布时变延迟的复合性神经网络的泄漏延迟依赖性稳定性分析

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摘要

This paper investigates the leakage delay-dependent global asymptotic stability problem for a class of complex-valued neural networks (CVNNs) with discrete and distributed time-varying delays. In order to handle this issue easily, an appropriate Lyapunov-Krasovskii functional (LKF) is constructed with some augmented delay-dependent terms. By employing integral inequalities, several delay-dependent sufficient conditions are derived that ensure the global asymptotic stability of the considered system model. Moreover, the results obtained in this paper have expressed in terms of complex-valued linear matrix inequalities (LMIs), whose feasible solutions can be easily verified by effective YALMIP control toolbox in MATLAB LMI. Finally, two benchmark illustrative examples are given to show the effectiveness and advantages of the proposed results. (C) 2019 Elsevier B.V. All rights reserved.
机译:本文通过离散和分布的时变延迟调查一类复合值神经网络(CVNN)的泄漏延迟依赖的全局渐近稳定性问题。为了轻松处理这个问题,建立了适当的Lyapunov-Krasovskii功能(LKF),以一些增强的延迟依赖项构建。通过采用积分不等式,推导出几种延迟相关的充足条件,以确保所考虑的系统模型的全局渐近稳定性。此外,本文获得的结果表达了复值的线性矩阵不等式(LMI),其可行的解决方案可以通过Matlab LMI中的有效yalmip控制工具箱容易地验证。最后,给出了两个基准说明性示例,以显示所提出的结果的有效性和优点。 (c)2019 Elsevier B.v.保留所有权利。

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