Abstract

The stability of neutral stochastic dynamic systems driven by fractional Brownian motion (fBm) have received broad attention, because the problems are not only have played an important role in many ways such as communication equipment, engineering control, military technology, finance, etc, but also great theoretical significance. In this paper, we discuss the stability of neutral stochastic dynamic systems driven by fBm with Markovian Switching. A new set of sufficient conditions proving the mean square stability of neutral stochastic dynamic systems with Markovian Switching is derived by means of the Banach fixed point technique. Some well-known results are generalized and improved.

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