Ultimate boundedness theorems for impulsive stochastic differential systems with Markovian switching

This paper is concerned with ultimate boundedness analysis of impulsive stochastic differential systems (ISDSs) with Markovian switching. Using the generalized Itô formula, Lyapunov function and matrix inequality technique, several criteria for global pth moment exponential ultimate boundedness are derived. The finding shows that unbounded stochastic differential systems with Markovian switching can be made into bounded systems by impulses.