Intermittent impulsive control for leader-following consensus of stochastic multi-agent systems with packet dropouts

Jiawei Zhuang; Dacai Liu; Jiacheng Xu; Lin Fu; Changrun Chen; Jiawei Zhuang; Dacai Liu; Jiacheng Xu; Lin Fu; Changrun Chen

doi:10.3934/math.20261006

AIMS Mathematics

2026, Volume 11, Issue 8: 25044-25063. doi: 10.3934/math.20261006

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Research article

Intermittent impulsive control for leader-following consensus of stochastic multi-agent systems with packet dropouts

1.
School of Computer Science, Guangdong University of Finance, Guangzhou 510521, China
2.
School of Intelligent Manufacturing, Jingdezhen Vocational University of Art, Jingdezhen 333000, China
3.
School of Computer and Electrical Engineering, Hunan University of Arts and Science, Changde 415000, China
4.
School of Engineering, University of Kent, Canterbury CT2 7NT, UK

Received: 11 June 2026 Revised: 17 July 2026 Accepted: 04 August 2026 Published: 13 August 2026
MSC : 34H05

This paper investigates the leader-following consensus problem of stochastic multi-agent systems (SMASs) with packet dropouts. Specifically, an intermittent impulsive control (IIC) strategy is proposed to reduce communication and control costs, combining the distinct strengths of aperiodic intermittent control and impulsive control techniques. The packet dropout phenomenon, which is described by an auxiliary function, is taken into account. Based on the linear matrix inequality (LMI) technique and the average dwell time algorithm, sufficient Lyapunov-based conditions are derived to ensure that the SMASs achieve mean-square leader-following consensus. Finally, numerical simulations based on the classical Chua's circuit model are presented to illustrate the effectiveness of the derived results.
- consensus,
- stochastic multi-agent systems,
- impulsive control,
- aperiodic intermittent control,
- packet dropouts
Citation: Jiawei Zhuang, Dacai Liu, Jiacheng Xu, Lin Fu, Changrun Chen. Intermittent impulsive control for leader-following consensus of stochastic multi-agent systems with packet dropouts[J]. AIMS Mathematics, 2026, 11(8): 25044-25063. doi: 10.3934/math.20261006

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Abstract

This paper investigates the leader-following consensus problem of stochastic multi-agent systems (SMASs) with packet dropouts. Specifically, an intermittent impulsive control (IIC) strategy is proposed to reduce communication and control costs, combining the distinct strengths of aperiodic intermittent control and impulsive control techniques. The packet dropout phenomenon, which is described by an auxiliary function, is taken into account. Based on the linear matrix inequality (LMI) technique and the average dwell time algorithm, sufficient Lyapunov-based conditions are derived to ensure that the SMASs achieve mean-square leader-following consensus. Finally, numerical simulations based on the classical Chua's circuit model are presented to illustrate the effectiveness of the derived results.

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