Intermittent event-triggered impulsive control for consensus of delayed multi-agent systems subject to deception attacks

Chen Liu; Mengting Wang; Qing Chen; Yihao Chu; Chen Liu; Mengting Wang; Qing Chen; Yihao Chu

doi:10.3934/math.20261089

AIMS Mathematics

2026, Volume 11, Issue 8: 27203-27230. doi: 10.3934/math.20261089

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Research article

Intermittent event-triggered impulsive control for consensus of delayed multi-agent systems subject to deception attacks

1.
School of Mathematics and Statistics, Anqing Normal University, Anqing, 246133, China
2.
Key Laboratory of Modeling, Simulation and Control of Complex Ecosystem in Dabie Mountains of Anhui Higher Education Institutes, Anqing, 246133, China

Received: 26 June 2026 Revised: 12 August 2026 Accepted: 19 August 2026 Published: 28 August 2026
MSC : 93C10, 93D15

This paper focus on the mean-square quasiconsensus issue in delayed leader-following multi-agent systems. An event-triggered intermittent impulsive control is developed to ensure consensus for systems facing deception attacks. First, a closed-loop intermittent control scheme is developed. In this framework, the working intervals are determined by a Lyapunov-based event-triggered mechanism (ETM), which adjusts the control activation according to real-time system states. Furthermore, a newly proposed delayed differential inequality featuring piecewise characteristics is constructed to address these analytical challenges arising from the integration of state-based intermittent control, state delay, deception attacks, and impulsive control. The proposed inequality further leads to a sufficient criterion under which the considered systems achieve mean-square quasiconsensus. Simulation results are reported to show that the proposed conditions are applicable.
- delayed multi-agent systems,
- consensus,
- deception attacks,
- event-triggered mechanism,
- impulsive control
Citation: Chen Liu, Mengting Wang, Qing Chen, Yihao Chu. Intermittent event-triggered impulsive control for consensus of delayed multi-agent systems subject to deception attacks[J]. AIMS Mathematics, 2026, 11(8): 27203-27230. doi: 10.3934/math.20261089

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Abstract

This paper focus on the mean-square quasiconsensus issue in delayed leader-following multi-agent systems. An event-triggered intermittent impulsive control is developed to ensure consensus for systems facing deception attacks. First, a closed-loop intermittent control scheme is developed. In this framework, the working intervals are determined by a Lyapunov-based event-triggered mechanism (ETM), which adjusts the control activation according to real-time system states. Furthermore, a newly proposed delayed differential inequality featuring piecewise characteristics is constructed to address these analytical challenges arising from the integration of state-based intermittent control, state delay, deception attacks, and impulsive control. The proposed inequality further leads to a sufficient criterion under which the considered systems achieve mean-square quasiconsensus. Simulation results are reported to show that the proposed conditions are applicable.

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