| 一类非线性时变时滞随机大系统的稳定性 |
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| 引用本文： | 崔红艳,高存臣.一类非线性时变时滞随机大系统的稳定性[J].南京气象学院学报,2010(5):392-395. |
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| 作者姓名： | 崔红艳 高存臣 |
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| 基金项目： | 国家自然科学基金（60974025）；山东省自然科学重点基金（Z2006G11） |
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| 摘 要： | 讨论了线性时滞随机系统平凡解的
几乎必然渐近稳定性&并推广到非线性
多时滞随机大系统的几乎必然渐近稳定
性''提出了非线性多时滞随机大系统几
乎必然渐近稳定性的代数判据''最后&用
仿真例子说明了主要结果的可行性与有
效性
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| 关 键 词： | 随机大系统 几乎必然渐近稳定 Lyapunov函数 |
Stability of a class nonlinear stochastic large-scale system with time-varying delays |
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| CUI hongyan,GAO cunchen.Stability of a class nonlinear stochastic large-scale system with time-varying delays[J].Journal of Nanjing Institute of Meteorology,2010(5):392-395. |
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| Authors: | CUI hongyan GAO cunchen |
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| Abstract: | Almost surely asymptotic stability of the trivial solution of linear stochastic system with time-varying delays is discussed,and is extended to the nonlinear stochastic large-scale system with time-varying delays.then,an algebraic criterion of the almost surely asymptotic stability is established for the nonlinear stochastic large-scale system with time-varying delays.the feasibility and effectiveness of the main results are illustrated in this paper by a numerical example |
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| Keywords: | stochastic large-scale system almostsurely asymptotic stability Lyapunov function |
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