The Stabilization of Boolean Control Network under Nonuniform Sampled-Data Control
WANG Jinsuo
XIA Jianwei
DENG Lei
ZHANG Fengxia
Abstract：Gene regulatory networks have received a lot attention,and Boolean control networks are suit-able to model gene regulatory networks.Therefore,the research on Boolean control networks is widely discussed.In this paper,the stabilization problem of Boolean control networks under nonuniform sampled-data control is investigated.Firstly,using semi-tensor product of matrices,the Boolean control network can be transformed into an equivalent algebraic form.Based on its algebraic form,a series of nonuniform sampling reachable sets are constructed,and a necessary and sufficient condition is given to determine whether the system can achieve global stabilization.When the system can achieve global stabilization,this paper proposes the steps for designing non-uniform sampling stabilizers.Finally,an illustrative example is provided to verify the effectiveness of the results in this paper.
Keywords：Boolean control networksnonuniform sampled-data controlstabilizationsemi-tensor prod-uct of matrices
Publication Date：2025-04-27
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：8( 170-176,189 )