Synchronization of Neural Networks with Mixed Time-Varying Delays Based on Parameter Identification and via Output Coupling

Xiaozheng Mou, Wuneng Zhou, Lin Pan, Tianbo Wang
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Abstract

This paper aims to investigate the global robust synchronization problem for two coupled neural networks with both discrete and distributed time-varying delays via output coupling. A general and novel time-varying delayed feedback scheme is introduced to model a more realistic controller. By employing the Lyapunov stability theory, several new and less restrictive criterions are obtained to guarantee that the two coupled chaotic neural networks can achieve synchronization. In addition, each adapted parameter in the connection weights can be identified through the theoretical results. Numerical simulations are given to validate the usefulness of the proposed global synchronization conditions.
基于参数辨识和输出耦合的混合时变时滞神经网络同步
研究了离散时变时滞和分布时变时滞两个耦合神经网络的输出耦合全局鲁棒同步问题。引入了一种通用的、新颖的时变延迟反馈方案,以建立更真实的控制器模型。利用李雅普诺夫稳定性理论,给出了保证两个耦合混沌神经网络能够实现同步的几个新的、约束较少的判据。此外,还可以通过理论结果识别出连接权值中的各个自适应参数。数值仿真验证了所提出的全局同步条件的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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