Sampling-based event-triggered control for cluster synchronization in two-layer nonlinear networks

Zhang, Cheng; Zhang, Chuan; Zhang, Xianfu; Liang, Yi

doi:10.1007/s12190-023-01910-7

Cited by 3 publications

(2 citation statements)

References 40 publications

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“…▪ Remark 4. From (13), we can get the relationship between impulsive gain corresponding to different time delays.…”

Section: Theorem 2 Under the Establishment Of A1 A2 And A3 If There E...mentioning

confidence: 99%

“…There have been some achievements in the research of cluster synchronization in MLNs. 13,14 As a special type of MLNs, the cluster synchronization problem of two-layer networks has been widely explored by researchers. 15,16 It is worth mentioning that the leader-follower two-layer CNNs, which have far-reaching significance in the researches of brain networks.…”

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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“…▪ Remark 4. From (13), we can get the relationship between impulsive gain corresponding to different time delays.…”

Section: Theorem 2 Under the Establishment Of A1 A2 And A3 If There E...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Self Cite

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show abstract

Reachable set estimation of multi-agent systems under packet losses and deception attacks

Janani,

Visakamoorthi,

Muthukumar

et al. 2024

J. Appl. Math. Comput.

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Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control

Liang,

Wang,

Deng

et al. 2024

IEEE Access

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This paper investigates the synchronization problem for multiplex networks with the stochastic perturbations via intermittent control. In the control schemes, the topologies of different layers of multiplex networks can be different, the control strategy adopts aperiodically intermittent and pinning control methods, and the number of pinned nodes can be different in different layers. Based on the stochastic theory and the Lyapunov stability theory, linear feedback and adaptive controllers are constructed respectively, some sufficient conditions are derived for guaranteeing synchronization of multiplex networks. Furthermore, for the different connectivity of multiplex networks, the conditions for achieving synchronization are discussed. Finally, two numerical simulations are provided to verify the theoretical results.

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Sampling-based event-triggered control for cluster synchronization in two-layer nonlinear networks

Cited by 3 publications

References 40 publications

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

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

Reachable set estimation of multi-agent systems under packet losses and deception attacks

Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control

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