Pinning Control Design for the Stabilization of Boolean Networks

In this brief, pinning control design for the stabilization of Boolean network (BN) is addressed. Using the semitensor product of matrices, transition matrix of the BN can be obtained. We achieve global stability to the fixed point or the elementary cycle for the BN by changing the columns of the transition matrix. Then, pinning nodes can be chosen, and pinning control design algorithms are proposed. Finally, an example is employed to show the proposed control design procedure.