Title
The Analysis Of Local Convergence Of Boolean Networks With State-Based Disturbances
Abstract
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
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 Li112817.14
Jianquan Lu22337116.05
Lulu Li335718.42
Jie Zhong417114.53
jungang lou518417.24