On the stability of solutions of fuzzy differential equations in the quotient space of fuzzy numbers

Article type: Research Article

Authors: Qiu, Dong^{a; *} | Dong, Rongwen^a | Lu, Chongxia^a | Mu, Chunlai^b

Affiliations: [a] School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, P.R. China | [b] School of Mathematics and Statistics, Chongqing University, Shapingba, P.R. China

Correspondence: [*] Corresponding author. Dong Qiu, School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, P.R. China. Tel.: +86 15123126186; Fax: +86 23 62471796; E-mail: dongqiumath@163.com.

Abstract: In this paper, the stability theory for fuzzy differential equations in the quotient space of fuzzy numbers was essentially investigated with Lyapunov-like functions. Some sufficient criteria for the stability, uniformly stability and exponentially stability of the trivial solution of the fuzzy differential equations were obtained by using the differential inequalities and the comparison principle for Lyapunov-like functions.

Keywords: Fuzzy differential equations, fuzzy numbers, stability, quotient space

DOI: 10.3233/IFS-162115

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 45-54, 2016