摘要：When an impulsive control is adopted for a stochastic delay difference
system (SDDS), there are at least two situations that should be contemplated. If the
SDDS is stable, then what kind of impulse can the original system tolerate to keep
stable? If the SDDS is unstable, then what kind of impulsive strategy should be taken
to make the system stable? Using the Lyapunov-Razumikhin technique, we
establish criteria for the stability of impulsive stochastic delay difference equations
and these criteria answer those questions. As for applications, we consider a kind of
impulsive stochastic delay difference equation and present some corollaries to our
main results.
