title: Sampled-Data State Feedback Stabilization of Boolean Control Networks.
abstract: In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean control networks (BCNs). Some necessary and sufficient conditions are obtained for the global stabilization of BCNs by SDSFC. Different from conventional state feedback controls, new phenomena observed the study of SDSFC. Based on the controllability matrix, we derive some necessary and sufficient conditions under which the trajectories of BCNs can be stabilized to a fixed point by piecewise constant control (PCC). It is proved that the global stabilization of BCNs under SDSFC is equivalent to that by PCC. Moreover, algorithms are given to construct the sampled-data state feedback controllers. Numerical examples are given to illustrate the efficiency of the obtained results.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China, and College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China liuyang@zjnu.edu.cn.
authors.forename: Yang
authors.initials: Y
authors.lastname: Liu
authors.affiliation: Research Center for Complex Systems and Network Sciences, Department of Mathematics, Southeast University, Nanjing 210096, China jdcao@seu.edu.cn.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China, and College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China 1546258649@qq.com.
authors.forename: Liangjie
authors.initials: L
authors.lastname: Sun
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China jqluma@seu.edu.cn.
authors.forename: Jianquan
authors.initials: J
authors.lastname: Lu