Asymptotic equilibrium and stability of fuzzy differential equations

被引：18

作者：

Song, SJ

Wu, C

Lee, ES ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China

[2] Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 7-8期

关键词：

fuzzy number space E-n; fuzzy differential equations; asymptotic equilibrium; Lyapunov functions; Lyapunov stability;

D O I：

10.1016/j.camwa.2004.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local existence and uniqueness theorems and the global existence of solutions were investigated in [1-3], respectively, for the Cauchy problem of fuzzy-valued functions of a real variable whose values are in the fuzzy number space (E-n, D). In this paper, we first study the asymptotic equilibrium for fuzzy evolution equations. Then, the stability properties of the trivial fuzzy solution of the perturbed semilinear fuzzy evolution equations are investigated by extending the Lyapunov's direct method. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1267 / 1277

页数：11

共 13 条

[1] INTEGRALS OF SET-VALUED FUNCTIONS [J].