Stability of Fuzzy Differential Equations With the Second Type of Hukuhara Derivative

Author

Shuorui Zhang ; Jitao Sun

Author_Institution

Dept. of Math., Tongji Univ., Shanghai, China

Volume

23

Issue

4

fYear

2015

fDate

Aug. 2015

Firstpage

1323

Lastpage

1328

Abstract

In this paper, we consider fuzzy differential equations with the second type of Hukuhara derivative. With the help of Lyapunov-like functions, we establish stability, uniform stability, and uniformly asymptotical stability theorems, respectively, for a class of fuzzy differential equations with the second type of Hukuhara derivative. Besides, a very useful comparison principle is derived, which connects the stability relationships between fuzzy differential equations with the second type of Hukuhara derivative and scalar differential equations. In addition, some examples are shown to illustrate the effectiveness of the results.

Keywords

Lyapunov methods; asymptotic stability; differential equations; fuzzy set theory; Lyapunov-like functions; fuzzy differential equation stability; scalar differential equations; second type Hukuhara derivative; uniform stability; uniformly asymptotical stability theorems; Asymptotic stability; Differential equations; Equations; Hafnium; Measurement; Stability criteria; Comparison principle; fuzzy differential equations; generalized differentiability; second-type Hukuhara derivative; stability; uniformly asymptotically stable;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2014.2353134

Filename

6891199