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  Asymptotic Stability of Boolean Networks With Multiple Missing Data

Huang, C., Wang, W., Lu, J., Kurths, J. (2021): Asymptotic Stability of Boolean Networks With Multiple Missing Data. - IEEE Transactions on Automatic Control, 66, 12, 6093-6099.
https://doi.org/10.1109/TAC.2021.3060733

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 Creators:
Huang, Chi1, Author
Wang, Wei 1, Author
Lu, Jianquan1, Author
Kurths, Jürgen2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: In actual network transmission, data loss due to network congestion and power shortage is unavoidable. However, this phenomenon has not been considered in Boolean networks (BNs) analysis so far. The loss of data is usually random, so BNs with missing data are modeled by introducing Bernoulli distribution sequences. A novel augmented system is constructed to deal with the randomly missing data. The initial states of the BNs are supposed to be chosen from the whole space or only part of it, which leads to the global and local stable problems. Some necessary and sufficient conditions are proposed for both problems. Two algorithms are developed to check the asymptotic stability of BNs. An illustrative example is also given to show the effectiveness of the derived results.

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 Dates: 2021-02-192021-12-10
 Publication Status: Finally published
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1109/TAC.2021.3060733
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Model / method: Machine Learning
 Degree: -

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Title: IEEE Transactions on Automatic Control
Source Genre: Journal, SCI, Scopus
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Publ. Info: -
Pages: - Volume / Issue: 66 (12) Sequence Number: - Start / End Page: 6093 - 6099 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/ieee-transactions-automatic-control
Publisher: Institute of Electrical and Electronics Engineers (IEEE)