On Block-decoupling of Boolean Control Networks

In this paper, two block-decoupling problems of Boolean control networks (BCNs), one of which is related to system decomposition and the other is not, are investigated by using the method of the semi-tensor product of matrices. Necessary and sufficient graphic conditions for block-decoupling of BCNs in the two cases are obtained. Moreover, a logical coordinate transformation is constructed to achieve block-decoupling related to system decomposition when the corresponding graphic conditions are satisfied. Finally, two illustrative examples are provided to illustrate the theoretical results.