Secure cluster synchronization of the complex dynamical networks with pinning impulsive strategies: When heterogeneity meets deception attacks

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-07-08 DOI:10.1016/j.ejcon.2025.101277

Junfeng Guo , Fei Wang , Chuan Zhang , Xin Sui , Ning Li

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引用次数: 0

Abstract

Secure cluster synchronization of a class of complex dynamic networks (CDNs) is studied in this article. Firstly, this paper introduces a heterogeneous dynamic network model that is attacked by deception attacks and assumes that the occurrences of deception attacks are always subject to Bernoulli distribution. Secondly, a impulsive controller (the so-called pinning impulsive control) is designed for part of nodes. Then, based on the new impulsive differential inequality and Lyapunov stability theory, the secure synchronization criterion is given, and the specific synchronization error upper bound is estimated. Furthermore, this article theoretically analyzes the synchronization region related to impulsive gain, average impulsive interval, and the number of pinning nodes. Finally, several numerical simulation examples are used to verify the correctness of the theoretical results in this manuscript, and the relationship between the synchronous control region and the relevant control parameters is discussed in detail.

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基于钉住脉冲策略的复杂动态网络的安全集群同步：异质性与欺骗攻击

研究了一类复杂动态网络的安全集群同步问题。首先，本文引入了一个受欺骗攻击的异构动态网络模型，并假设欺骗攻击的发生总是服从伯努利分布。其次，针对部分节点设计了脉冲控制器（即钉住脉冲控制）。然后，基于新的脉冲微分不等式和Lyapunov稳定性理论，给出了安全同步判据，并估计了具体的同步误差上界。在此基础上，从理论上分析了同步区域与脉冲增益、平均脉冲间隔和钉住节点数的关系。最后，通过几个数值仿真算例验证了本文理论结果的正确性，并详细讨论了同步控制区域与相关控制参数的关系。

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

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.