Exponential stability in mean square of impulsive stochastic difference equations with continuous time (Q1021816)

A class of impulsive stochastic difference equations with continuous time is considered (the unknown function is a continuous function of time). It is shown that under certain assumptions the null solution of impulsive stochastic difference equations is exponentially stable in mean square and the exponential convergence rate is given. The result is obtained by establishing a difference inequality with continuous time. Finally, an example illustrating the efectiveness of the result is constructed.