摘要
本文利用分解——集结法,通过标量Lyapunov函数给出了非线性离散大系统的稳定性条件。这些大系统的部分子系统可以是不稳定的;并且在三个方面拓广了Michel的工作,最后给出了离散大系统瞬时状态的指数估计。
Sofficient condition for asymptotic and axponential stability in the large are derived for non-linear discrete sys-tems through application of the aggregation-decomposition approach and scalar Lyapunon function and extend thework of Michel in three aspect. At last, an exponential extimate of transient behavior is given.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1990年第3期6-10,共5页
Journal of Henan Normal University(Natural Science Edition)
关键词
非线笥
离散大系统
稳定性
集结法
M-matrics
uniformly asymptotically stability
exponential stability
aggregation-decomposion
scalar Lyapunon function
exponential estimate
