Generalized cluster synchronization of Boolean control networks with delays in both the states and the inputs

Tong, Liyun; Liang, Jinling; Liu, Yang

doi:10.1016/j.jfranklin.2021.04.018

Cited by 10 publications

(2 citation statements)

References 38 publications

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“…Subsequently, References 86‐88 discussed the synchronization in an array of output‐coupled BNs with time delays. Furthermore, delay synchronization, 89,90 inner synchronization, 91 intermittent synchronization, 92 cluster synchronization 93 of TBNs were successively studied.…”

Section: Resultsmentioning

confidence: 99%

A survey on applications of the semi‐tensor product method in Boolean control networks with time delays

Mu,

Feng

2023

Engineering Reports

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SummaryAs regulatory networks that simulate and establish gene interactions, Boolean networks (BNs) exhibit significant delays in state updates or trajectory tracking due to environmental factors in practical applications. This paper provides a comprehensive knowledge overview of Boolean control networks with time delays (TBCNs) via the semi‐tensor product theory (STP), which includes the history of BNs, the property of STP, several issues of TBCNs and future prospects. The related problems contain controllability and reachability, observability and detectability, stability and stabilization, synchronization, output tracking and regulation, and other issues. Finally, it also points out that some areas still need further research and promotion, such as disturbance decoupling, system decomposition, identification, deep reinforcement learning, and so forth.

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Section: Resultsmentioning

confidence: 99%

A survey on applications of the semi‐tensor product method in Boolean control networks with time delays

Mu,

Feng

2023

Engineering Reports

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“…When the dynamical nodes within a cluster synchronize with each other but desynchronize among different clusters, cluster synchronization appears. Due to its potential applications in neural networks, secure communication, etc., cluster synchronization has been intensively investigated and has yielded fruitful research results [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. For example, in [11], cluster synchronization on multiple nonlinearly coupled dynamical subnetworks of complex networks with nonidentical nodes and stochastic perturbations was considered by Zhou et al, and the criteria that can ensure the network synchronizes to the reference state exponentially were established.…”

Section: Introductionmentioning

confidence: 99%

Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

Liu,

Sun

2024

Mathematics

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In this paper, the problem of clustering component synchronization of nonlinearly coupled complex networks with nonidentical nodes and asymmetric couplings is investigated. A pinning control strategy is designed to achieve the clustering component synchronization with respect to the specified components. Based on matrix analysis and stability theory, clustering component synchronization criteria are established. Two numerical simulations are also provided to show the effectiveness of the theoretical results.

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A state-flipped approach to complete synchronization of Boolean networks

Zhang

Xia

2023

Applied Mathematics and Computation

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Generalized cluster synchronization of Boolean control networks with delays in both the states and the inputs

Cited by 10 publications

References 38 publications

A survey on applications of the semi‐tensor product method in Boolean control networks with time delays

A survey on applications of the semi‐tensor product method in Boolean control networks with time delays

Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

A state-flipped approach to complete synchronization of Boolean networks

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