The attracting set for impulsive stochastic difference equations with continuous time

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this letter, an impulsive stochastic difference equation with continuous time is considered. By constructing an improved time-varying difference inequality, some sufficient criteria for the global attracting set and exponential stability in mean square are obtained. A numerical example is given to demonstrate the efficiency of the proposed methods.