Asymptotic Stability of Nonlinear Impulsive Stochastic Systems with Markovian Switching

Xinwen Zhang, Chao Jia, Weiguo Liu
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Abstract

In this article, we discuss a class of stochastic partial differential systems with nonlinear impulsive and Markovian switching. Some new sufficient conditions proving asymptotic stability in p-th moment of stochastic systems are derived by employing some inequality and the fixed point technique. Some well-known results are generalized and improved.
具有马尔可夫切换的非线性脉冲随机系统的渐近稳定性
本文讨论了一类具有非线性脉冲和马尔可夫切换的随机偏微分系统。利用不等式和不动点技术,导出了随机系统在p阶渐近稳定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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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