Stability of State-triggered Random Impulsive Boolean Networks

Abstract

This paper addresses the stability of state-triggered random impulsive Boolean networks. A hybrid index model is adopted to describe the impulsive Boolean networks. A necessary and sufficient condition for forward completeness is obtained. Based on this, necessary and sufficient conditions for finite-time stability with probability one and asymptotically stability in distribution are obtained respectively. Numerical examples are given to illustrate the proposed results.