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

Zhen Zhang and Wei-Wei Che

Applied Mathematics and Computation, 2025, vol. 507, issue C

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 Itoˆ 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.

Keywords: Stochastic nonlinear multi-agent system; Fully distributed fuzzy secure control; Polynomial fuzzy model; Denial-of-service attack; Sum-of-squares (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325003212

DOI: 10.1016/j.amc.2025.129595

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