Sampled-data stabilization of delayed Boolean control networks with state inequality constraints.

This paper studies the set stabilization of delayed Boolean control networks (DBCNs) with state inequality constraints via time-variant nonuniform sampled-data control. State inequality constraints are introduced into DBCNs. Firstly, the equivalent algebraic forms of DBCNs and the solution set of state inequality constraints are constructed via the algebraic state space representation approach, based on which an inequality constrained controllability matrix is constructed. Then, by the inequality constrained controllability matrix, new criteria are proposed for the nonuniform sampled-data inequality constrained reachability of DBCNs. Finally, a time-variant nonuniform sampled-data stabilizers are designed for DBCNs by utilizing the nonuniform sampled-data inequality constrained reachability. The effectiveness of the obtained results is verified through the cell apoptosis network.