马尔可夫调制的中立型随机动力系统的p阶稳定性
p-Moment Stability of Neutral Stochastic Dynamic Systems with Markovian Switching
DOI: 10.12677/AAM.2023.126264, PDF,    科研立项经费支持
作者: 张新文：广州商学院信息技术与工程学院，广东 广州
关键词: 巴拿赫不动点；稳定性；中立型随机动力系统；马尔可夫调制；Banach Fixed Points； Stability； Neutral Stochastic Systems； Markovian Switching
摘要: 本文研究了一类马尔可夫调制的中立型随机动力系统的p阶稳定性。主要通过使用巴拿赫不动点定理、一些不等式、解算子和随机分析技术，得出了这类由马尔可夫调制的中立型随机动力系统的p阶稳定性的充分条件。提高和改进了一些相关文献的结论。
Abstract: In this paper, we consider the p-moment stability of neutral stochastic differential systems with Markovian switching. A set of conditions proving the p-moment stability of the of the stochastic neutral stochastic differential systems with Markovian switching are derived by employing of the Bnanch fixed point theorem, some inequality, solution operator and stochastic analysis technique. Some well-known results are generalized and improved.
文章引用：张新文. 马尔可夫调制的中立型随机动力系统的p阶稳定性[J]. 应用数学进展, 2023, 12(6): 2630-2638. https://doi.org/10.12677/AAM.2023.126264

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