非均匀采样控制下布尔控制网络的镇定性  

The Stabilization of Boolean Control Networkunder Nonuniform Sampled-Data Control

作　　者：王金锁 夏建伟[1] 邓磊[1] 张凤霞[1] WANG Jinsuo;XIA Jianwei;DENG Lei;ZHANG Fengxia(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报(自然科学版)》2025年第2期170-176,189,共8页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(62103176);山东省自然科学基金项目(ZR2019BF023,ZR2022MA030)资助。

摘　　要：基因调控网络受到广泛的关注,布尔控制网络非常适合对基因调控网络进行建模,因此对布尔控制网络的研究也越来越多。本文研究非均匀采样控制下布尔控制网络的镇定性问题。首先,利用矩阵半张量积方法,将布尔控制网络转化成等价的代数形式。基于此代数形式,通过构造一系列非均匀采样可达集获得一个充要条件来判断系统是否可以实现全局镇定。当系统可以实现全局镇定的时候,本文给出设计非均匀采样控制器步骤。最后,给出一个说明性的例子来验证结论的有效性。Gene regulatory networks have received a lot attention,and Boolean control networks are suitable 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.

关 键 词：布尔控制网络 非均匀采样 镇定 矩阵半张量积 

分 类 号：O231[理学—运筹学与控制论]