| 引用本文: | 沈 轶,张玉民,廖晓昕.时滞非线性随机大系统的指数稳定性[J].控制理论与应用,2002,19(4):571~574.[点击复制] |
| SHEN Yi,ZHANG Yi-min,LIAO Xiao-xin.Exponential stability of nonlinear stochastic large-scale systems with delays[J].Control Theory and Technology,2002,19(4):571~574.[点击复制] |
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| 时滞非线性随机大系统的指数稳定性 |
| Exponential stability of nonlinear stochastic large-scale systems with delays |
| 摘要点击 1286 全文点击 1575 投稿时间：1999-01-19 修订日期：2002-04-01 |
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| DOI编号 10.7641/j.issn.1000-8152.2002.4.017 |
| 2002,19(4):571-574 |
| 中文关键词 时滞 随机大系统 指数稳定性 |
| 英文关键词 delay stochastic large-scale system exponential stability |
| 基金项目 国家自然科学基金(60074008)资助项目. |
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| 中文摘要 |
| 建立了一般随机泛函微分方程p阶均值指数稳定与几乎必然指数稳定的新型判据, 然后应用所得判据到具有可变多时滞的非线性随机大系统, 得到了这种随机大系统时滞无关的均方指数稳定与几乎必然指数稳定的代数判据. |
| 英文摘要 |
| We establish a new criteria of p-order moment exponential stability and the almost sure exponential stability for stochastic functional differential equation. Applying the derived criteria to nonlinear stochastic large-systems with variable multi-delay, we get the algebraic criteria of the delay-independent mean square exponential stability and the almost sure exponential stability for this type of stochastic large-scale systems. |