Finite-time stability analysis of stochastic switched boolean networks with impulsive effect

Abstract

This paper analyzes the finite-time stability of stochastic switched Boolean networks (SBNs) with impulsive effect. Using the algebraic state space representation (ASSR) approach, the dynamics of SBNs with impulsive effect is converted to an algebraic form. Based on the algebraic form, some necessary and sufficient conditions are presented for the finite-time stability of stochastic SBNs with impulsive effect, including probabilistic switching signal case and Markov jump switching signal case. The study of an illustrative example shows that the obtained new results are effective.