Stability analysis on uncertain stochastic impulsive systems with time-delay

Abstract

This Letter deals with the problem of stochastic robust stability analysis and control on a class of stochastic hybrid system. The system under study involves Markovian jump, norm-bounded uncertainties, time delay and impulsive effects. Sufficient conditions for the stochastic hybrid system stochastically robustly stable are obtained, we also give some criteria on how to design a memoryless feedback controller and an impulsive controller to stabilize such stochastic hybrid system.