Finite-time stochastic synchronization of network systems with intermittent delayed couplings

Wanli Zhang; Wanli Zhang

doi:10.3934/math.2025894

AIMS Mathematics

2025, Volume 10, Issue 9: 20010-20024. doi: 10.3934/math.2025894

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Research article

Finite-time stochastic synchronization of network systems with intermittent delayed couplings

Wanli Zhang ^,

College of Computer and Information Science, Chongqing Normal University, Chongqing, 401331, China

Received: 03 July 2025 Revised: 17 August 2025 Accepted: 26 August 2025 Published: 01 September 2025
MSC : 93C10, 93D40

This article investigates finite-time synchronization (FTS) of network systems (NSs) with intermittent delayed couplings and stochastic perturbations. A channel matrix is introduced to describe the partial couplings of NSs, and state-dependent parameters are also considered to characterize the weight matrices. In order to deal with the intermittent couplings and reduce the control cost, an intermittent control scheme is designed. Based on the 2-norm Lyapunov function and new analytical methods, FTS is achieved, and the settling time is also estimated. Besides, two special cases are presented which indicate that our models are more general than some existing models. Finally, the synchronization criteria are verified by some simulations.
- finite-time stochastic synchronization,
- network systems,
- intermittent couplings,
- delayed couplings,
- partial couplings
Citation: Wanli Zhang. Finite-time stochastic synchronization of network systems with intermittent delayed couplings[J]. AIMS Mathematics, 2025, 10(9): 20010-20024. doi: 10.3934/math.2025894

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Abstract

This article investigates finite-time synchronization (FTS) of network systems (NSs) with intermittent delayed couplings and stochastic perturbations. A channel matrix is introduced to describe the partial couplings of NSs, and state-dependent parameters are also considered to characterize the weight matrices. In order to deal with the intermittent couplings and reduce the control cost, an intermittent control scheme is designed. Based on the 2-norm Lyapunov function and new analytical methods, FTS is achieved, and the settling time is also estimated. Besides, two special cases are presented which indicate that our models are more general than some existing models. Finally, the synchronization criteria are verified by some simulations.

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