在结构与随机扰动下的大系统的稳定性

Stability of Large Scale Systems Under Structural and Random Perturbations*

中文关键词  稳定性  大系统  随机扰动  系统结构

英文关键词  Stability  large scale system  random perturbation  system structure

中文摘要

      在本文中，我们给出了在结构与随机扰动下的动态大系统的稳定性分析，建立了这类大系统的依概率吸引性，依概率一致有界性，依概率大范围渐近稳定性，p吸引性，一致p有界性，和大范围渐近p稳定性的结构。这些结论的假设是由孤立子系统和与其联系的李雅普诺夫函数，受扰系统的结构和作用在子系统上的随机扰动表出的。

英文摘要

      The stability analysis of large scale dynamical systems under both structural and random perturbations is given in this paper. Results are established for attractivity in probability, uniform boundedness in probability, asymptotic stability in probability in the large, p-attractivity, uniform p-boundedness, and asymptotic p-stability in the large for such systems. The hypotheses of these results are phrased in terms of the free subsystems and the related Lyapunov functions, in terms of the perturbed system structure and in terms of the random perturbations acting on the subsystems.