Akademska digitalna zbirka SLovenije - logo
E-resources
Full text
Peer reviewed
  • On Pinning Controllability ...
    Lu, Jianquan; Zhong, Jie; Huang, Chi; Cao, Jinde

    IEEE transactions on automatic control, 2016-June, 2016-6-00, 20160601, Volume: 61, Issue: 6
    Journal Article

    This technical note presents analytical investigations of reachability and controllability of Boolean control networks (BCNs) with pinning controllers. Based on semi-tensor product (STP) of matrices, BCNs with pinning controllers are converted into a discrete-time algebraic system. A formula is derived to calculate the number of different control sequences steering BCNs between two states in a given step, and then several necessary and sufficient criteria are derived for reachability and controllability of BCNs with pinning controllers. Moreover, we make a comparison among three forms of BCNs, which have similar algebraic representations. Finally, we obtain some efficient conditions to judge the dynamic structure of BCNs.