Robust sampled-data control invariance for Boolean control networks

摘要

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. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.