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

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2015Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Fuzzy Systems, volume 23, pages 1,323-1,328 (issn: 1063-6706, eissn: 1941-0034,

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Authors: Shuorui Zhang; Jitao Sun;

doi: 10.1109/tfuzz.2014.2353134

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

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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.

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Tongji University
China (People's Republic of)

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