Control design for output tracking of delayed Boolean control networks

This paper investigates the output tracking control of delayed Boolean control networks (DBCNs) by using the algebraic state space representation method. Firstly, the output tracking control problem of DBCNs is formulated, and the dynamics of DBCNs is converted into an equivalent algebraic form. Secondly, based on the algebraic form and controllability of DBCNs, a necessary and sufficient condition is presented for the output tracking control of DBCNs without state constraints. Thirdly, a necessary and sufficient condition is presented for the output tracking control of DBCNs with state constraints by constructing a constrained reachability matrix. The study of an illustrative example shows the effectiveness of the obtained new results.