有和无参数不确定性耦合复值神经网络的非周期间歇H∞同步

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-05-12 DOI:10.1016/j.physd.2025.134694

Yanli Huang, Yuqing Jia

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引用次数: 0

摘要

本文研究了耦合复值神经网络（ccvnn）和耦合复值延迟神经网络（ccvdnn）的非周期间歇H∞同步和鲁棒非周期间歇H∞同步问题。首先，使用合适的Lyapunov函数结合各种不等式技术，建立了ccvnn的某些同步准则。此外，考虑到神经网络中参数不确定性的影响，我们还研究了ccvnn的鲁棒同步。此外，将相应的非周期间歇H∞同步和鲁棒非周期间歇H∞同步结果推广到激活函数为时变延迟的ccvdnn网络中。最后，通过两个算例验证了所提结果的可靠性和有效性。

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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Aperiodically intermittent H∞ synchronization of coupled complex-valued neural networks with and without parameter uncertainties

In this paper, we investigate aperiodically intermittent

H_{\infty}

synchronization and robustly aperiodically intermittent

H_{\infty}

synchronization for both coupled complex-valued neural networks (CCVNNs) and coupled complex-valued delayed neural networks (CCVDNNs). Initially, certain synchronization criteria for CCVNNs are established using suitable Lyapunov functionals in conjunction with a variety of inequality techniques. Furthermore, we also examine robust synchronization of CCVNNs, taking into account the impact of parameter uncertainties in neural networks. In addition, the corresponding aperiodically intermittent

H_{\infty}

synchronization and robustly aperiodically intermittent

H_{\infty}

synchronization results are generalized to the network of CCVDNNs, in which the activation function is time-varying delayed. Finally, two numerical examples prove the reliability and the benefits of the proposed results.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.