Asymptotic behaviour analysis of hybrid stochastic functional differential equations driven by Levy process

This paper primarily investigates the H∞ stability, the almost sure asymptotic stability and practical stability concerning certain variables with general decay rate (such as exponential, polynomial, and logarithmic decay) in hybrid neutral stochastic functional differential equations with Markovian switching driven by Lévy noise (NSFDEwMs). Our main methodologies involve the Lyapunov functions, inequality technique and the stochastic analysis theory. Finally, several examples demonstrate the validity of the derived results.