摘要
本文分别用标量李雅普诺夫函数和向量李雅普诺夫函数利用二次分解——集结法,给出了由差分方程所描述的离散大系统的全局一致渐近稳定的三个充分条件,还用标量李雅普诺夫函数给出了大系统全局指数稳定的一个充分条件。
In this paper,we have cstabilish three sufficient conditions to assure the uniformly asymptotically stable in the largefor large scale discrete time dynamical systems by using the methods of scalar and vector Lyapunovs functionsrespectively and a sufficient conditions to assure the exponentially stable in the large for large scale discrete timedynamcal systems by using scalar Lyapunavs function.The method of decomposition aggregation is used twice.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1991年第2期1-9,共9页
Journal of Henan Normal University(Natural Science Edition)
关键词
离散大系统
分解--集结
稳定性
large scale discarete time dynamical systems
dccompsition aggregation
