| 非线性时滞系统的随机稳定化 |
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| 引用本文： | 夏方,兰光强.非线性时滞系统的随机稳定化[J].北京化工大学学报(自然科学版),2017,44(4):124-128. |
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| 作者姓名： | 夏方 兰光强 |
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| 作者单位： | 北京化工大学理学院,北京,100029;北京化工大学理学院,北京,100029 |
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| 基金项目： | 国家自然科学基金（11601025） |
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| 摘 要： | 本文讨论非线性时滞系统的随机稳定化问题。对于给定的非线性时滞系统，通过引入一个随机噪音项，可得到一个新的非线性随机时滞系统。在给定条件下，对于任意给定初值，可保证该非线性随机时滞系统具有唯一整体解，且该精确解以一般衰减速度几乎处处稳定。
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| 关 键 词： | 随机时滞系统 稳定化 指数鞅不等式 几乎处处稳定性 一般衰减速度 |
| 收稿时间： | 2016-12-02 |
Stochastic stabilization of nonlinear systems with time delay |
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| XIA Fang,LAN GuangQiang.Stochastic stabilization of nonlinear systems with time delay[J].Journal of Beijing University of Chemical Technology,2017,44(4):124-128. |
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| Authors: | XIA Fang LAN GuangQiang |
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| Institution: | Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | Stochastic stabilization for nonlinear systems with time delay is discussed in this paper. For a given nonlinear system with time delay, introducing a stochastic noise can afford a new nonlinear stochastic differential system with time delay. Moreover, the new system has a unique global solution for any initial value under certain conditions, and the exact solution shows almost sure stability with a general decay rate. |
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| Keywords: | stochastic time-delayed systems stabilization exponential martingale inequality almost sure stability general decay rate |
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