Further Results for Pinning Stabilization of Boolean Networks

In this article, pinning stabilization of Boolean networks is further investigated based on semi-tensor product of matrices. First, two novel algorithms are devised to obtain a globally stable Boolean network from new perspectives. One of the two algorithms is to find a globally stable Boolean network by altering the columns of the transition matrix, and the other one aims to apply a perturbation method to find the smallest number of pinning nodes, on which the controls are placed to ensure the global stability of the controlled networks. Then, all the required pinning controllers can be designed. Examples are given to illustrate the effectiveness of the obtained results.