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.
['Yang Liu', 'Jinde Cao', 'Liangjie Sun', 'Jianquan Lu']
Sampled-data state feedback stabilization of boolean control networks