Output Tracking of Singular Boolean Control Networks

This paper investigates the output tracking problem of singular Boolean control networks (SBCNs). First, the concept of control invariant subset of SBCNs is proposed. Based on properties of control invariant subsets, an algorithm for finding the maximum control invariant subset is given. Second, two necessary and sufficient conditions for the solvability of output tracking problem are derived by using the maximum control invariant subset. Third, in light of a criterion for output tracking under a state feedback controller, an approach to designing the time-optimal state feedback controller is obtained. Finally, an example is provided to verify the validity of the main results.