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Fully distributed adaptive dynamic event-triggered secure consensus of lipschitz nonlinear multiagent systems under

Lili Wang¹, Shiming Chen²

¹School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang, 330013, China; College of Science, Jiangxi University of Water Resources and Electric Power, Nanchang, 330099, China.

ISA Transactions

|February 3, 2026

Summary

This study addresses secure consensus in nonlinear multiagent systems (MASs) under denial-of-service (DoS) attacks. A novel event-triggered (ET) strategy enhances security and efficiency by reducing communication load.

Keywords:

Denial-of-service (DoS) attacks Dynamic event-triggered mechanism (DETM)Multiagent systems (MASs)Secure consensus

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Area of Science:

Control Theory
Networked Systems
Cybersecurity

Background:

Multiagent systems (MASs) face secure consensus challenges, especially with denial-of-service (DoS) attacks.
Existing control strategies may not adequately address the dynamic nature of DoS attacks or optimize communication efficiency.

Purpose of the Study:

To develop a secure consensus control strategy for Lipschitz nonlinear MASs under DoS attacks.
To introduce a novel event-triggered (ET) mechanism to reduce communication overhead and conserve energy.
To ensure system stability and consensus convergence while avoiding the Zeno phenomenon.

Main Methods:

Designed a new adaptive parameter update rule to counter DoS attacks.
Presented an event-triggered (ET) control strategy with an auxiliary dynamic variable.
Utilized a Lyapunov function for rigorous stability analysis.
Derived sufficient criteria for consensus convergence.

Main Results:

Achieved secure consensus in Lipschitz nonlinear MASs despite DoS attacks.
The proposed ET strategy effectively reduces communication load and conserves energy.
Stability analysis confirmed consensus convergence, and the Zeno phenomenon was avoided.
Clarified the relationship between attack constraints, system matrix, and triggering parameters.

Conclusions:

The developed ET control strategy ensures secure consensus in MASs under DoS attacks.
The strategy is communication-efficient, energy-saving, and avoids Zeno behavior.
Simulation results validate the feasibility and effectiveness of the proposed approach.