Stochastic stability of non‐linear impulsive semi‐Markov jump systems

Abstract

In this study, the problem of stochastic stability of non‐linear impulsive semi‐Markov jump systems is investigated. Using the method of stochastic Lyapunov functions, the authors develop some sufficient conditions about stochastic stability for a class of non‐linear impulsive semi‐Markov jump systems with unbounded transition rates. Particularly, the obtained results generalise and complement some published literatures. Finally, some examples are given to show the effectiveness and advantages of the proposed results.