| 引用本文: | 邓飞其，冯昭枢，刘永清.时滞线性随机系统的均方稳定性与反馈镇定*[J].控制理论与应用,1996,13(4):441~447.[点击复制] |
| DENG Feiqi，FENG Zhaoshu and LIU Yongqing.Mean-Square Stability and Feedback Stabilization of Linear delay Stochastic Systems[J].Control Theory and Technology,1996,13(4):441~447.[点击复制] |
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| 时滞线性随机系统的均方稳定性与反馈镇定* |
| Mean-Square Stability and Feedback Stabilization of Linear delay Stochastic Systems |
| 摘要点击 1210 全文点击 578 投稿时间：1994-12-29 |
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| DOI编号 |
| 1996,13(4):441-447 |
| 中文关键词 时滞 线性随机系统 均方稳定性 反馈镇定 Lyapunov泛函 |
| 英文关键词 delay linear stochastic system mean-square stability feedback stabilization Lyapunov functional |
| 基金项目 |
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| 中文摘要 |
| 本文研究It?型随机滞后系统的均方稳定性与反馈镇定．文中首先建立了It?型随机滞后系统的新型稳定性定理，然后采用适当的Lyapunov泛函得到了时滞线性随机系统零解均方渐近稳定的一个充分性判据，该判据适用于完全滞后型的随机系统，据此判据，文中给出了时滞线性随机系统的滞后反馈镇定方法． |
| 英文摘要 |
| In this paper，mean-square stability and feedback stabilization of delay stochastic systems of It? type are investigated. A new type stability theorem for delay stochastic systems of It? type is established，then a sufficient criterion for mean-square asymptotic stability of zero solutions of linear delay stochastic systems is obtained by applying suitable Lyapunov functionals，which is applicable for completely retarded stochastic systems. A method of stabilization by retarded feedback for linear delay stochastic systems is proposed based on this criterion. |