| 时滞线性随机系统的均方稳定性与反馈镇定* |
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| 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. |
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| 作者姓名： | 邓飞其 冯昭枢 刘永清 |
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| 作者单位： | 华南理大学自动化系 |
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| 基金项目： | 国家自然科学基金,霍英东高校青年教师基金,广东省自然科学基金 |
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| 摘 要： | 本文研究Ｉｔｏｏ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Ｉｔｏ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。
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| 关 键 词： | 时滞 线性随机系统 均方稳定性 反馈镇定 |
| 收稿时间： | 1994/12/29 0:00:00 |
Mean-Square Stability and Feedback Stabilization of Linear delay Stochastic Systems |
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| DENG Feiqi,FENG Zhaoshu and LIU Yongqing.Mean-Square Stability and Feedback Stabilization of Linear delay Stochastic Systems[J].Control Theory & Applications,1996,13(4):441-447. |
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| Authors: | DENG Feiqi FENG Zhaoshu and LIU Yongqing |
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| Abstract: | In this paper, mean-square stability and feedback stabilization of delay stochastic systems of Ito type are investigated. A new type stability theorem for delay stochastic systems of ito 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 feedbacks for linear delay stochastic systems is proposed based on this criterion |
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| Keywords: | delayl linear stochastic system mean-square stability feedback stabilization Lyapunov functional |
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