引用本文:邓飞其，刘永清，冯昭枢.具有滞后耦合特性的线性随机大系统的时滞无关均方稳定性*[J].控制理论与应用,1996,13(1):30~35.[点击复制]
DENG Feiqi；LIU Yongqing and FENG Zhaoshu.Mean-Square Stability Independence of Delays of Large-Scale Linear Stochastic Systems with Delayed Couplings[J].Control Theory and Technology,1996,13(1):30~35.[点击复制]
具有滞后耦合特性的线性随机大系统的时滞无关均方稳定性*
Mean-Square Stability Independence of Delays of Large-Scale Linear Stochastic Systems with Delayed Couplings
摘要点击 1057  全文点击 501  投稿时间：1994-11-11  修订日期：1995-06-20
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DOI编号  
  1996,13(1):30-35
中文关键词  随机系统  滞后大系统  均方稳定性
英文关键词  Department of Automation,South China University of Technology
基金项目  
作者单位
邓飞其，刘永清，冯昭枢 华南理工大学自动化系 
中文摘要
      本文研究具有滞后耦合特性的时不变线性It?随机大系统的稳定性，得到了大系统平衡态滞后无关的均方渐近稳定性代数判据．文中所考虑的子系统是随机子系统，对它们的假设正好是它们均方渐近稳定的充要条件．另外，文中采用的Lyapunov泛函是确定型的Lyapunov泛函．
英文摘要
      In this paper，stability of time-invariant large-scale linear It? stochastic systems with delayed couplings is investigated，some algebraic criteria for mean-square asymptotic stability independence of delays of equilibriums of the large-scale systems are obtained. The isolated subsystems involved in the paper are stochastic subsystems. The assumptions on the isolated subsystems are necessary and sufficient conditions of mean-square asymptotic stability of their equilibriums.Besides，the Lyapunov functional applied in the paper is a deterministic one.