THE STABILITY PROPERTIES OF NONLINEAR MEASURE LARGE-SCALE SYSTEMS WITH IMPULSE EFFECT

被引：5

作者：

GUAN, ZH

LIU, YQ

机构：

[1] Department of Automation, South China University of Technology Guangzhou

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 09期

关键词：

MEASURE DIFFERENTIAL LARGE SCALE SYSTEMS; DISTRIBUTIONAL DERIVATIVE; IMPULSIVE SOLUTIONS; LUMPED GAUSS-SEIDEL ITERATION; STABILITY;

D O I：

10.1016/0898-1221(94)00181-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we studied the stability properties of nonlinear measure large scale systems by means of the lumped Gauss-Seidel iteration method, which avoided the difficulties of constructing Lyapunov functions. The explicit algebraic criteria of the stability, uniform stability, asymptotic stability, uniform asymptotic stability, and exponential stability for nonlinear measure large scale systems are established.

引用

页码：89 / 99

页数：11

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