| 时变滞后随机大系统的稳定性：向量Lyapunov函数法 |
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| 引用本文： | 冯昭枢,邓飞其,刘永清. 时变滞后随机大系统的稳定性：向量Lyapunov函数法[J]. 控制理论与应用, 1996, 13(3): 371-375 |
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| 作者姓名： | 冯昭枢 邓飞其 刘永清 |
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| 作者单位： | 华南理工大学自动化系 |
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| 基金项目： | 国家自然科学基金,霍英东教育基金,高校青年教师基金,广东省自然科学基金 |
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| 摘 要： | 本文研究变系数、变时滞线性随机大系统的均方渐近稳定性，通过将Ｈａｌａｎａｙ不等式推广到高维空间、采用向量Ｌｙａｐｕｎｏｖ函数、运用Ｍ－矩阵等工具，得到了随机大系统的稳定性判据，文中模型考虑了子系统之间的交互随机干扰，所得稳定性判断是滞后无关的。
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| 关 键 词： | 随机大系统 稳定性 大系统 Lyapunov函数法 |
| 收稿时间： | 1995-01-18 |
| 修稿时间： | 1995-08-09 |
Stability of Time-Varying Large-Scale Delay Stochastic Systems: Vector Lyapunov Function Method |
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| FENG Zhaoshu,DENG Feiqi and LIU Yongqing. Stability of Time-Varying Large-Scale Delay Stochastic Systems: Vector Lyapunov Function Method[J]. Control Theory & Applications, 1996, 13(3): 371-375 |
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| Authors: | FENG Zhaoshu DENG Feiqi LIU Yongqing |
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| Abstract: | In this paper, mean-square asymptotic stability of large-scale stochastic systems with varying coefficients and varying delays is investigated, some stability criteria for large-scale stochastic systems are obtained via generalizing the Halanay inequality to high spaces, applying vector Lyapunov functions and employing M-matrices etc.. In the model of the paper,interconnected stochastic interferences among subsystems are considered. The stability criteria obtained are independent of delays. |
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| Keywords: | delay large-scale stoehastic system delay inequality M-matrix mean-square stability |
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