Global stability and stabilization of switched Boolean network with impulsive effects

The present paper investigates the global stability and stabilization of switched Boolean network with impulsive effects. By using the semi-tensor product, the algebraic form of the switched Boolean network with impulsive effects is obtained. Then, sufficient and necessary condition is presented for the global stability of the switched Boolean network with impulsive effects. Furthermore, sufficient and necessary conditions are provided for the stabilization of the switched Boolean network with impulsive effects under two types of controls. Finally, examples are presented to illustrate the main results.