摘要
讨论了系统dx_i/dt=-a_(ii)(t)f_(ii)(x_i)+sum(a_(ij)(t)f_(ij)(x_j)) from j=1(j≠i) to n(i=1,...,n),应用大系统的分解理论,得到了该系统零解全局稳定的充分条件.此条件简明扼要,容易验证,实用方便.
This paper discusses the following large scale systems Using the decomposition theory of large scale systems,we obtain the condition of the global stability of zero solution of these systems. The condition is not only brief,easily verifed,but also convenient for use.
出处
《辽宁师范大学学报(自然科学版)》
CAS
1992年第4期268-273,285,共7页
Journal of Liaoning Normal University:Natural Science Edition
关键词
全局稳定
分解理论
大系统
李雅普诺夫函数
global stability
large scale system
decomposition theory
Liapunov function