Fixed Point and Stability of a Class of Stochastic Dynamic Systems with Markovian Switching

Xinwen Zhang
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Abstract

In this paper, we discuss the stability of impulsive neutral stochastic differential dynamic systems with Markovian switching. Some new sufficient conditions proving the stability in mean square of this impulsive neutral stochastic dynamic systems are derived by using of the Banach fixed point technique. Some well-known results are generalized and improved.
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一类具有马尔可夫切换的随机动力系统的不动点与稳定性
讨论了具有马尔可夫切换的脉冲中立型随机微分动力系统的稳定性问题。利用Banach不动点技术,给出了该脉冲中立型随机动力系统均方稳定性的几个新的充分条件。对一些著名的结果进行了推广和改进。
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