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 semi-tensor product of matrices. A necessary and sufficient condition is obtained to check whether or not a given set is robust sampled-data control invariant under a given sampled-data state feedback controller (SDSFC). At last, the study of model about lac operon in the Escherichia coli shows the validness of our main results.