Topology identification for stochastic multi-layer networks via graph-theoretic method

Zhang, Chunmei; Li, Ran; Zhu, Quanxin; Xu, Qi

doi:10.1016/j.neunet.2023.05.036

Cited by 7 publications

(2 citation statements)

References 30 publications

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“…Some efforts have been made to solve the synchronization problem of stochastic MLNs. [17][18][19][20] However, existing works are limited to considering the complete synchronization problem of stochastic MLNs. As inevitable as stochastic phenomena are time delays.…”

Section: Introductionmentioning

confidence: 99%

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Cluster synchronization of stochastic two‐layer networks with infinite distributed delays via delayed pinning impulsive control

Zhang,

Wei,

Wang

et al. 2024

Adaptive Control & Signal

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SummaryThe cluster synchronization problem of stochastic two‐layer networks with infinite distributed delays is concerned. Firstly, we study the cluster synchronization of the first layer (leader‐layer) network with the average state of each cluster of sets as synchronization target. Secondly, we design a delayed pinning impulsive controller to synchronize the second layer (follower‐layer) network to the first layer network in a mean square cluster sense. Based on stochastic impulsive analysis and Lyapunov stability theory, some sufficient conditions for cluster synchronization are obtained. Finally, the effectiveness of the theoretical results is verified through numerical simulations.

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Section: Introductionmentioning

confidence: 99%

“…In the modeling process, we should not ignore the influence of stochastic factors. Some efforts have been made to solve the synchronization problem of stochastic MLNs 17–20 . However, existing works are limited to considering the complete synchronization problem of stochastic MLNs.…”

Section: Introductionmentioning

confidence: 99%