| 引用本文: | 沈 轶, 姚宏善, 张玉民, 廖晓昕.具有可变时滞的中立型随机系统的渐近性质[J].控制理论与应用,2005,22(5):739~742.[点击复制] |
| SHEN Yi,YAO Hong-shan,ZHANG Yu-min,LIAO Xiao-xin.Asymptotic properties for neutral stochastic systems with time-varying delay[J].Control Theory and Technology,2005,22(5):739~742.[点击复制] |
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| 具有可变时滞的中立型随机系统的渐近性质 |
| Asymptotic properties for neutral stochastic systems with time-varying delay |
| 摘要点击 1356 全文点击 1143 投稿时间：2003-06-30 修订日期：2005-03-07 |
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| DOI编号 10.7641/j.issn.1000-8152.2005.5.013 |
| 2005,22(5):739-742 |
| 中文关键词 Lyapunov函数 Ito^公式 上鞅收敛定理 稳定性 |
| 英文关键词 Lyapunov function It formula super-martingales convergence theorem stability |
| 基金项目 国家自然科学基金资助项目(60074008,60274007);湖北省自然科学基金资助项目(2004ABA055) |
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| 中文摘要 |
| 本文研究了一类具有可变时滞的中立型随机系统解的渐近性质.利用Lyapunov函数Ito^公式和上鞅收敛定理,得到了该系统解的一些几乎必然渐近稳定性与p阶均值渐近稳定性、几乎必然多项式渐近稳定性与p阶均值多项式渐近稳定性及几乎必然指数稳定性与p阶均值指数稳定性的充分判据.与经典的随机稳定性结论相比,本文所建立的判据充分利用了随机扰动项的作用,无须LV(扩散算子)的负定. |
| 英文摘要 |
| The asymptotic properties of a class of neutral stochastic systems are discussed.By using Lyapunov function,It formula and super-martingales convergence theorem,sufficient criteria on its almost sure asymptotic properties,p-order mean asymptotic properties,almost sure polynomial asymptotic stability,p-order mean polynomial asymptotic stability,almost sure exponential stability and p-order mean exponential stability are obtained.Compared with the classical stochastic stability results,the proposed stability criteria make the best use of the effects of stochastic disturbed term in stochastic systems and cancel the requirement of the negative definite of LV(diffusion operator). |
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