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.[点击复制]
FENG Zhaoshu，DENG Feiqi and LIU Yongqing.Stability of Time-Varying Large-Scale Delay Stochastic Systems: Vector Lyapunov Function Method[J].Control Theory and Technology,1996,13(3):371~375.[点击复制]
时变滞后随机大系统的稳定性：向量Lyapunov函数法
Stability of Time-Varying Large-Scale Delay Stochastic Systems: Vector Lyapunov Function Method
摘要点击 1027  全文点击 456  投稿时间：1995-01-18  修订日期：1995-08-09
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DOI编号  
  1996,13(3):371-375
中文关键词  时滞  随机大系统  时滞不等式  M－矩阵  均方稳定性
英文关键词  delay  large-scale stochastic system  delay inequality  M-matrix  mean-square stability
基金项目  
作者单位
冯昭枢，邓飞其，刘永清 华南理工大学自动化系 
中文摘要
      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，所得稳定性判据是滞后无关的．
英文摘要
      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.