| 反射布朗运动驱动的非线性系统的随机稳定化 |
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| 引用本文： | 谢岩岩. 反射布朗运动驱动的非线性系统的随机稳定化[J]. 莆田学院学报, 2013, 20(2): 26-30 |
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| 作者姓名： | 谢岩岩 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建福州,350108 |
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| 基金项目： | 国家自然科学基金资助项目，福建省教育厅基金资助项目 |
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| 摘 要： | 研究了由随机噪声反射布朗运动干扰的非线性系统dx(t)=f(x)(t)dt的随机稳定化,建立了受干扰系统的几乎必然指数稳定性判定性定理并估计了相应的样本Lyapunov指数。
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| 关 键 词： | 反射布朗运动 几乎必然指数稳定性 随机稳定化 |
Stochastic Stabilization of Nonlinear Systems Driven by Reflecting Brownian Motion |
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| XIE Yan-yan. Stochastic Stabilization of Nonlinear Systems Driven by Reflecting Brownian Motion[J]. journal of putian university, 2013, 20(2): 26-30 |
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| Authors: | XIE Yan-yan |
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| Abstract: | In this paper,the stochastic stabilization of an unstable nonlinear system dx(t)=f(x)(t)dt driven by a reflecting Brownian motion is investigated,some conditions under which the perturbed system is almost surely exponentially stable and deterministic are found and the corresponding Lyapunov exponent is estimated. |
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| Keywords: | reflecting Brownian motion almost surely exponentially stable stabilization |
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