Abstract | ||
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This paper discusses the local convergence of Boolean networks (BNs) with state-based disturbances by pinning control. Under the framework of semi-tensor product (STP) of matrices, the algebraic expression of a Boolean network (BN) can be obtained. Then, the definition of local convergence is given. Note that compared with the stability, the time is limited to no more than n steps rather than 2(n) when considering the local convergence. By analyzing the algebraic expression, some necessary and sufficient conditions for local convergence were derived. Moreover, how to choose the pinning-nodes was analyzed, and pinning controllers are designed such that systems with state-based disturbances achieve locally convergence. Finally, the proposed method is well demonstrated by some examples. |
Year | Venue | Field |
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2019 | 2019 12TH ASIAN CONTROL CONFERENCE (ASCC) | Convergence (routing),Boolean network,Applied mathematics,Matrix (mathematics),Computer science,Local convergence,Algebraic expression |
DocType | ISSN | Citations |
Conference | 2072-5639 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bowen Li | 1 | 128 | 17.14 |
Jianquan Lu | 2 | 2337 | 116.05 |
Lulu Li | 3 | 357 | 18.42 |
Jie Zhong | 4 | 171 | 14.53 |
jungang lou | 5 | 184 | 17.24 |