SOS-based secure consensus control for stochastic nonlinear MASs against multiple DoS attacks

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-06-10 DOI:10.1016/j.amc.2025.129595

Zhen Zhang , Wei-Wei Che

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引用次数: 0

Abstract

This paper investigates the fully distributed fuzzy secure consensus control problem for stochastic nonlinear multi-agent systems (MASs). A polynomial fuzzy model is applied to reconstruct the system dynamics for a class of nonlinear MASs described by the

I t \hat{o}

differential equation. The asynchronous denial-of-service (DoS) attack is considered that occurs independently across communication channels between the agents. Then, a novel fuzzy secure control protocol is developed to achieve the consensus task and resist the effect of the DoS attack. Meanwhile, the control protocol is fully distributed without relying on the global information of the Laplace matrix, and its adaptive parameter is membership-function-dependent, which is more flexible. Then, a non-parallel distributed compensation method is used to deal with the mismatch problem of the membership function between the fuzzy control protocol and the fuzzy system. In addition, several mean-square bounded convergence criteria in the form of the sum-of-squares for the secure tracking error are obtained by constructing the piecewise Lyapunov functions. Finally, the feasibility of the theoretical results is verified by the simulation example and the comparative analysis.

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多DoS攻击下基于sos的随机非线性质量安全共识控制

研究了随机非线性多智能体系统的全分布模糊安全一致控制问题。应用多项式模糊模型重构了一类由Ito -微分方程描述的非线性质量的系统动力学。异步拒绝服务（DoS）攻击被认为是跨代理之间的通信通道独立发生的。在此基础上，提出了一种新的模糊安全控制协议，以实现共识任务，抵御DoS攻击的影响。同时，该控制协议是完全分布式的，不依赖于拉普拉斯矩阵的全局信息，其自适应参数依赖于隶属函数，具有更大的灵活性。然后，采用非并行分布式补偿方法处理模糊控制协议与模糊系统之间的隶属函数不匹配问题。此外，通过构造分段Lyapunov函数，得到了安全跟踪误差平方和形式的均方有界收敛准则。最后，通过仿真算例和对比分析验证了理论结果的可行性。

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

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.