Controllability and set controllability of periodically switched Boolean control networks

This paper investigates the controllability and set controllability of periodically switched Boolean control networks (PSBCNs) via the semi-tensor product. Firstly, the algebraic form of switching signal is given and a parallel system is formed by combining the switching signal and the state. Then t...

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Published inInternational journal of control Vol. 96; no. 8; pp. 2124 - 2132
Main Authors Jiang, Chunfeng, Fu, Shihua, Wang, Biao, Zhao, Jianli, Sun, Min
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.08.2023
Taylor & Francis Ltd
Subjects
Controllability
periodically switched Boolean control networks
semi-tensor product of matrices
set controllability
Switching
Tensors
Online AccessGet full text
ISSN0020-7179
1366-5820
DOI10.1080/00207179.2022.2085177

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Abstract This paper investigates the controllability and set controllability of periodically switched Boolean control networks (PSBCNs) via the semi-tensor product. Firstly, the algebraic form of switching signal is given and a parallel system is formed by combining the switching signal and the state. Then the controllability problem of PSBCNs is transformed into the set controllability problem of the new system, further, the criterion for controllability is obtained. Secondly, the set controllability matrix of PSBCNs is constructed, and the necessary and sufficient condition of set controllability for PSBCNs is presented. In addition, a more general PSBCN is considered and the criteria for its controllability and set controllability are proposed. Finally, a practical example is given to illustrate the obtained results, which shows that our new results are correct and effective.
AbstractList This paper investigates the controllability and set controllability of periodically switched Boolean control networks (PSBCNs) via the semi-tensor product. Firstly, the algebraic form of switching signal is given and a parallel system is formed by combining the switching signal and the state. Then the controllability problem of PSBCNs is transformed into the set controllability problem of the new system, further, the criterion for controllability is obtained. Secondly, the set controllability matrix of PSBCNs is constructed, and the necessary and sufficient condition of set controllability for PSBCNs is presented. In addition, a more general PSBCN is considered and the criteria for its controllability and set controllability are proposed. Finally, a practical example is given to illustrate the obtained results, which shows that our new results are correct and effective.
Author Fu, Shihua
Sun, Min
Wang, Biao
Zhao, Jianli
Jiang, Chunfeng
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SubjectTerms Controllability
periodically switched Boolean control networks
semi-tensor product of matrices
set controllability
Switching
Tensors
Title Controllability and set controllability of periodically switched Boolean control networks
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