| 不确定中立型线性随机时滞系统的鲁棒稳定性 |
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| 引用本文： | 江明辉,沈轶,廖晓昕.不确定中立型线性随机时滞系统的鲁棒稳定性[J].应用数学和力学,2007,28(6):741-748. |
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| 作者姓名： | 江明辉 沈轶 廖晓昕 |
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| 作者单位： | 1. 三峡大学,非线性复杂系统研究所,湖北,宜昌,443000;华中科技大学,控制科学与工程系,武汉,430074
2. 华中科技大学,控制科学与工程系,武汉,430074 |
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| 基金项目： | 国家自然科学基金;湖北省自然科学基金;湖北省教育厅科研项目 |
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| 摘 要： | 建立了中立型随机微分时滞方程的LaSalle不变原理,然后应用LaSalle不变原理讨论了不确定中立型随机时滞系统的随机渐近稳定和几乎必然指数稳定的代数判据,同时给出示例说明结果的有效性.
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| 关 键 词： | 中立型线性随机时滞系统 LaSalle不变原理 鲁棒稳定性 |
| 文章编号： | 1000-0887（2007）06-0741-08 |
| 修稿时间： | 2003-10-09 |
Robust Stability of Uncertain Neutral Linear Stochastic Differential Delay Systems |
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| JIANG Ming-hui,SHEN Yi,LIAO Xiao-xin.Robust Stability of Uncertain Neutral Linear Stochastic Differential Delay Systems[J].Applied Mathematics and Mechanics,2007,28(6):741-748. |
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| Authors: | JIANG Ming-hui SHEN Yi LIAO Xiao-xin |
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| Institution: | 1. Institute of Nonlinear Complex Systems, China Three Gores University, 2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P.R. China |
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| Abstract: | The LaSalle-type theorem for the neutral stochastic differential equations with delay was established and then applied to propose algebraic criteria of the stochastically asymptotic stability and almost exponential stability for the uncertain neutral stochastic differential systems with delay.An example was also given to verify the effectiveness of the obtained results. |
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| Keywords: | neutral stochastic differential system with delay LaSalle-type theorem robust stability |
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