An Improved Algorithm for Stabilization of Boolean Networks Via Pinning Control

Abstract

In this paper, we propose an approach to design pinning controller for stabilization of Boolean networks (BNs). By applying the semi-tensor product (STP), the dynamics of the BN can be described by a transition matrix. In order to modify the transition matrix, the attractors of the original BN are determined by using graph theory. Based on this, an approach is given to find the network nodes to be controlled for stabilization of BNs. Then, an approach to design pinning controller is proposed to achieve stabilization of BNs. Finally, an example is given to illustrate the proposed approaches.