Stability and stabilization of switched boolean networks with impulsive effects

This paper studies the stability and stabilization of switched Boolean networks (SBNs) with impulsive effects. The dynamics of SBNs with impulsive effects is converted to an algebraic form, based on which, some criteria are presented for the stability of SBNs with impulsive effects. These conditions include the arbitrary switching signal case and the state feedback switching signal case. In addition, an criterion is proposed for the state feedback stabilization of SBNs with impulsive effects. The study of an illustrative example shows that the obtained new results are effective.