Lag Synchronization and Lag $\mathcal {H}_{\infty }$ Synchronization for Multiweighted Coupled Reaction–Diffusion Neural Networks Suffering Topology Attacks

IF 4 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Control of Network Systems Pub Date : 2025-01-06 DOI:10.1109/TCNS.2025.3526322

Jin-Liang Wang;Xin-Yu Zhao;Shun-Yan Ren;Tingwen Huang

引用次数: 0

Abstract

This article mainly discusses two kinds of coupled reaction–diffusion neural networks (CRNN) under topology attacks, that is, the cases with multistate couplings and multiple spatial-diffusion couplings. On the one hand, by adopting a state feedback control scheme, the problem of the lag synchronization for the multistate-coupled CRNN is addressed. Moreover, the influences of external disturbances on the lag synchronization of the CRNN with multistate couplings are also taken into consideration. On the other hand, several lag synchronization and lag

$\mathcal {H}_{\infty }$

synchronization conditions for CRNN with multiple spatial-diffusion couplings are derived with the help of the Kronecker product and the state feedback control method. Finally, two numerical examples are provided to verify the correctness of the derived criteria.

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受拓扑攻击的多加权耦合反应-扩散神经网络的滞后同步和滞后$\mathcal {H}_{\infty }$同步

本文主要讨论了拓扑攻击下的两种耦合反应扩散神经网络（CRNN），即具有多状态耦合和多个空间扩散耦合的情况。一方面，采用状态反馈控制方案，解决了多状态耦合CRNN的滞后同步问题；此外，还考虑了外部干扰对多态耦合CRNN滞后同步的影响。另一方面，利用Kronecker积和状态反馈控制方法，推导了具有多个空间扩散耦合的CRNN的滞后同步和滞后$\mathcal {H}_{\infty }$同步条件。最后给出了两个数值算例，验证了所得准则的正确性。

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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来源期刊

IEEE Transactions on Control of Network Systems Mathematics-Control and Optimization

CiteScore

7.80

自引率

7.10%

发文量

169

期刊介绍： The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.