摘要
基于子系统间某些关联可能是固定的情况,讨论了大系统的部分联结全局稳定性,并且利用加权和标量李雅普诺夫函数法研究了大系统的部分联结全局一致渐近稳定性及全局指数稳定性,推广了大系统关联稳定性的相关结论.
By using method of Lyapunov function with weighted sum, the partial connective global stability of large-scale system is discussed. Some results of globally uniformly asymptotic stability and globally exponential stability in the sense of partial connective stability are given, and some conclusions which are relative to the connective system are extended.
出处
《华南师范大学学报(自然科学版)》
CAS
2001年第1期30-35,共6页
Journal of South China Normal University(Natural Science Edition)
基金
广东省自然科学基金!(990860)
国家自然科学基金!(60074039)资助课题
关键词
大系统
部分联结全局一致渐近稳定
部分联结全局指数稳定
加权和标题李雅普诺夫函数
部分联结全局稳定性
large - scale system
globally uniformly asymptotic stability for partlal connection
globally exponential stability for partial connection
Lyapunov function with weighted sum
diagonally dominant ma- trix