title: Controllability of Boolean networks via input controls under Harvey's update scheme.
abstract: In this article, the controllability of Boolean networks via input controls under Harvey's update scheme is investigated. First, the model of Boolean control networks under Harvey's stochastic update is proposed, by means of semi-tensor product approach, which is converted into discrete-time linear representation. And, a general formula of control-depending network transition matrix is provided. Second, based on discrete-time dynamics, controllability of the proposed model is analytically discussed by revealing the necessary and sufficient conditions of the reachable sets, respectively, for three kinds of controls, i.e., free Boolean control sequence, input control networks, and close-loop control. Examples are showed to demonstrate the effectiveness and feasibility of the proposed scheme.
authors.affiliation: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China.
authors.forename: Chao
authors.initials: C
authors.lastname: Luo
authors.affiliation: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China.
authors.forename: Xiaolin
authors.initials: X
authors.lastname: Zhang
authors.affiliation: The Center of Network Optimization, Shandong Mobile Communication, Jinan 250024, China.
authors.forename: Rui
authors.initials: R
authors.lastname: Shao
authors.affiliation: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China.
authors.forename: YuanJie
authors.initials: Y
authors.lastname: Zheng
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical