中立多变时滞Volterra型随机动力系统的稳定性

王春生

doi:10.21656/1000-0887.410323

中立多变时滞Volterra型随机动力系统的稳定性

doi: 10.21656/1000-0887.410323

王春生

广州软件学院管理系，广州 510990

基金项目: 广东省自然科学基金(2016A030313542)；广东省普通高校特色创新项目(自然科学)(2018KTSCX339；2021KQNCX130)

详细信息

作者简介:
王春生（1982—），男，副教授，硕士（E-mail： paperspring@163.com）

中图分类号: O231.3
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- 文章访问数: 750
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- PDF下载量: 47
- 被引次数: 0
出版历程
- 收稿日期: 2020-10-23
- 修回日期: 2021-03-30
- 网络出版日期: 2021-12-07
- 刊出日期: 2021-11-30

Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays

WANG Chunsheng

Department of Management, Software Engineering Institute of Guangzhou, Guangzhou 510990, P.R.China

摘要

摘要: 探讨了一类非线性随机积分微分动力系统，并通过Banach不动点方法，给出了该系统零解均方渐近稳定的充要条件，形成了中立多变时滞Volterra型随机积分微分动力系统零解均方渐近稳定性定理。与前人的研究方法不同，该文根据多变时滞随机动力系统各时滞的特点，灵活构造算子，相比以往文献的方法更加灵活实用。文章的结论一定程度上改进和发展了相关研究论文的结果。另外，文章所得结论补充并推广了不动点方法在研究非线性中立多变时滞Volterra型随机积分微分动力系统零解稳定性方面的成果。
- Banach不动点 /
- 非线性 /
- 均方渐近稳定性 /
- 多变时滞 /
- 中立Volterra型随机积分微分动力系统
Abstract: A class of nonlinear stochastic integro-differential dynamical systems were discussed, the necessary and sufficient conditions for the mean-square asymptotic stability of the zero solution to the system were given by means of the Banach fixed point method, and a mean-square asymptotic stability theorem for neutral Volterra stochastic integro-differential dynamical systems with multiple delays was established. Unlike the previous research methods, according to the characteristics of each time delay of the stochastic dynamical system with multiple time delays, the operators were constructed through introduction of the corresponding functions, and then the stability of the system was studied with the Banach fixed point method. The conclusion improves and develops the results of several related research papers to a certain extent. In addition, the results obtained supplement and extend those of the fixed point method in study of the stability of zero solutions to nonlinear neutral variable-delay Volterra stochastic integro-differential dynamical systems.
- Banach fixed point /
- non-linearity /
- mean-square asymptotic stability /
- some variable delays /
- neutral Volterra stochastic integrodifferential dynamic system

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参考文献(16)

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