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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时滞的多值神经网络的泄漏时滞相关稳定性分析

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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:本文研究了一类具有离散和分布时变时滞的复值神经网络(CVNN)的泄漏时滞相关的全局渐近稳定性问题。为了轻松处理此问题,构造了适当的Lyapunov-Krasovskii函数(LKF),其中包含一些扩展的依赖于延迟的项。通过使用积分不等式,导出了几个依赖于延迟的充分条件,这些条件确保了所考虑系统模型的全局渐近稳定性。此外,本文获得的结果以复数值线性矩阵不等式(LMI)表示,可以通过MATLAB LMI中有效的YALMIP控制工具箱轻松验证其可行解。最后,给出了两个基准示例,以说明所提出结果的有效性和优势。 (C)2019 Elsevier B.V.保留所有权利。

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