A restabilizability criterion for perturbed Boolean control networks

This paper studies the restabilization problem of perturbed Boolean control networks (BCNs) by using semi-tensor product of matrices (STP). Firstly, function perturbations are classified into three categories. Through the analysis of these three types of perturbations, a necessary and sufficient restabilizability criterion is established, to check whether a perturbed BCN can be restabilized to the original state, by modifying some parameters of the old controller. Finally, the effectiveness of our results is illustrated by an example.