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On the ensemble controllability of Boolean control networks using STP method
Zhong,Jie1,2; Liu,Yang1; Kou,Kit Ian3; Sun,Liangjie4; Cao,Jinde4
Source PublicationApplied Mathematics and Computation
AbstractIn this paper, we investigate the ensemble controllability and reachability for a family of Boolean control networks (BCNs). First, BCNs are converted to discrete-time linear dynamics by the semi-tensor product. Then the ensemble controllability of BCNs is studied via a free control sequence and input Boolean network, respectively. Some necessary and sufficient conditions are obtained to judge the ensemble controllability. The existence of the input Boolean network for the ensemble controllability is also discussed. When there are unknown inputs in BCNs, necessary and sufficient conditions for the controllability are presented as well. Finally, examples are analyzed to show the effectiveness of the proposed results.
KeywordBoolean control network Ensemble controllability Free control sequence Input Boolean network Input disturbance
URLView the original
Scopus ID2-s2.0-85064560435
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Cited Times [WOS]:50   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorLiu,Yang
Affiliation1.College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua,321004,China
2.Department of Mathematics,City University of Hong Kong,Kowloon,Hong Kong
3.Department of Mathematics,Faculty of Science and Technology,University of Macau,Macao
4.School of Mathematics,Southeast University,Nanjing,210096,China
Recommended Citation
GB/T 7714
Zhong,Jie,Liu,Yang,Kou,Kit Ian,et al. On the ensemble controllability of Boolean control networks using STP method[J]. Applied Mathematics and Computation,2019,358:51-62.
APA Zhong,Jie,Liu,Yang,Kou,Kit Ian,Sun,Liangjie,&Cao,Jinde.(2019).On the ensemble controllability of Boolean control networks using STP method.Applied Mathematics and Computation,358,51-62.
MLA Zhong,Jie,et al."On the ensemble controllability of Boolean control networks using STP method".Applied Mathematics and Computation 358(2019):51-62.
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