Fixed Points and Stability of Impulsive Stochastic Dynamic Systems driven by fBm

摘要

The stability of impulsive stochastic dynamic systems driven by fractional Brownian motion has broad application prospects and high theoretical significance. Its theory is mainly applied to communication equipment, engineering control, military technology, ecology, finance, biology and other fields. In this article, stability of a class of impulsive stochastic functional dynamic systems driven by fractional Brownian motion is investigated. We establish some new sufficient conditions ensuring the mean square exponential stability of the impulsive stochastic dynamic systems by means of the fixed point theory. Some well-known results are improved and generalized.