Fixed-time consensus of second-order multi-agent systems based on event-triggered mechanism under DoS attacks

Jiaqi Liang; Zhanheng Chen; Zhiyong Yu; Haijun Jiang; Jiaqi Liang; Zhanheng Chen; Zhiyong Yu; Haijun Jiang

doi:10.3934/math.2025070

AIMS Mathematics

2025, Volume 10, Issue 1: 1501-1528. doi: 10.3934/math.2025070

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Research article

Fixed-time consensus of second-order multi-agent systems based on event-triggered mechanism under DoS attacks

1.
College of Mathematics and Statistics, Yili Normal University, Yining 835000, China
2.
Institute of Applied Mathematics, Yili Normal University, Yining 835000, China
3.
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China

Received: 04 November 2024 Revised: 09 January 2025 Accepted: 10 January 2025 Published: 22 January 2025
MSC : 93A16, 93C10, 93D50

This paper investigates fixed-time consensus (FXTC) for second-order nonlinear multi-agent systems under denial of service (DoS) attacks using event-triggered control. First, consensus in second-order nonlinear multi-agent systems with directed topologies is studied under a static event-triggered mechanism. Building upon this, dynamic auxiliary variables are introduced, and a dynamic event-triggered mechanism is designed. Consensus control protocols are proposed for both leader-follower and leaderless scenarios. Using Lyapunov stability theory and algebraic graph theory, the fixed-time consensus of multi-agent systems with directed topologies under DoS attacks is analyzed. Furthermore, Zeno behavior is excluded. Finally, numerical examples are presented to validate the theoretical results.
- fixed-time consensus,
- multi-agent systems,
- second-order nonlinear dynamics,
- dynamic event-triggered mechanism,
- DoS attack
Citation: Jiaqi Liang, Zhanheng Chen, Zhiyong Yu, Haijun Jiang. Fixed-time consensus of second-order multi-agent systems based on event-triggered mechanism under DoS attacks[J]. AIMS Mathematics, 2025, 10(1): 1501-1528. doi: 10.3934/math.2025070

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Abstract

This paper investigates fixed-time consensus (FXTC) for second-order nonlinear multi-agent systems under denial of service (DoS) attacks using event-triggered control. First, consensus in second-order nonlinear multi-agent systems with directed topologies is studied under a static event-triggered mechanism. Building upon this, dynamic auxiliary variables are introduced, and a dynamic event-triggered mechanism is designed. Consensus control protocols are proposed for both leader-follower and leaderless scenarios. Using Lyapunov stability theory and algebraic graph theory, the fixed-time consensus of multi-agent systems with directed topologies under DoS attacks is analyzed. Furthermore, Zeno behavior is excluded. Finally, numerical examples are presented to validate the theoretical results.

References

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