Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design

•In this paper, the impulse is regarded as a positive control method for the investigation of impulsive probabilistic Boolean networks (IPBNs).•Several criteria are obtained for the finite-time set stabilizability with probability one and set stabilizability in distribution of IPBNs, respectively, by designing the state feedback impulsive sequences.•Compared with the existing results, which only studied the state-dependent impulsive time sequence deign for the finite-time output tracking of IPBNs, this paper designs the state feedback impulsive time sequence for the set stabilizability in distribution and has wider applications.