MIS approach analyzing the controllability of switched boolean networks with higher order

Zhang, Lequn; Feng, Jun-e; Meng, Meng

doi:10.1007/s12555-013-0187-5

Cited by 8 publications

(2 citation statements)

References 15 publications

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“…discussed the output controllability of temporal BCNs. Furthermore, the controllability of high‐order BCNs were displayed in References 43,52‐54.…”

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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“…discussed the output controllability of temporal BCNs. Furthermore, the controllability of high‐order BCNs were displayed in References 43,52‐54.…”

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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“…However, analysis of and research on Boolean network models by logical operations in a logical domain is difficult (Feng et al, 2012; Liu et al, 2015). Cheng et al propose a semi-tensor product of matrices, which is a new matrix multiplication of two matrices with different dimensions of rows and columns (Li et al, 2013; Zhang et al, 2014). Logic operations can be converted into algebraic operations by utilizing the semi-tensor product, which provides a convenient method for the study of Boolean networks.…”

Section: Introductionmentioning

confidence: 99%

Synchronization in mutual-coupled temporal Boolean networks

Wei

Xie

2017

Transactions of the Institute of Measurement and Control

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In this paper, we first propose a mutual-coupled temporal Boolean networks model and then investigate complete synchronization in mutual-coupled temporal Boolean networks. The mutual-coupled temporal Boolean networks model with logical relationship is converted into an algebraic form based on a semi-tensor product. Necessary and sufficient conditions are derived to realize synchronization based on the algebraic forms. An example illustrates the effectiveness of the theoretical analysis.

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Topological structure and optimal control of singular mix-valued logical networks

Wang

Feng

Meng

2015

Control Theory Technol.

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MIS approach analyzing the controllability of switched boolean networks with higher order

Cited by 8 publications

References 15 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

Synchronization in mutual-coupled temporal Boolean networks

Topological structure and optimal control of singular mix-valued logical networks

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