摘要
利用一般离散大系统零解稳定性的 Lyapunov分解理论 ,结合区间矩阵的概念 ,讨论了线性灰色离散大系统和具有非线性扰动项的灰色离散大系统的稳定性问题 ,得到了若干稳定性的充分判据 .这项成果将文献 [2～ 4]的主要结果由普通灰色离散系统推广到大型灰色离散系统 。
In this paper the stability of a linear and nonlinear gray discrete large scale systems is studied,and some new criteria for the stability of trivial solutions are obtained by using Lyapunovs decomposed theorems and interval matrices.We can see that the main results in [2～4] can be generalized from ordinary gray systems to large scale gray systems.Finally,some concrete examples are given.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
2000年第4期415-419,共5页
Journal of Tianjin University：Science and Technology
关键词
灰色离散大系统
零解
稳定性
分解理论
grey discrete large scale systems
Lyapunov function
asymptotic stability
decomposed theorems
isolated subsystem
