Robust sampled-data control invariance for Boolean control networks

In this paper, we investigate the robust sampled-data control invariance of Boolean control networks (BCNs) via the semi-tensor product of matrices. Necessary and sufficient conditions are obtained to check whether a set is a robust sampled-data control invariant set through a given sampled-data state feedback controller (SDSFC). Moreover, a SDSFC is designed to make a given set to be a robust sampled-data control invariant set. At last, the study of model about lac operon in the Escherichia coli shows the effectiveness of the main results.