Block Decoupling of Boolean Control Networks

In this paper, the block decoupling of Boolean control networks is investigated via solving logical matrix equations. First, the definition of block decoupling of Boolean control networks is proposed. Second, the block decoupling problem is equivalently converted into the solvability of a set of logical matrix equations. Subsequently, the approaches to solve these equations are designed, based on which the suitable coordinate transformations and open-loop controllers can be determined. Finally, an illustrative example is given to show the effectiveness of the main results.