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

作者：Qiu, Dong^*; Xing, Yumei; Zhang, Lihong

来源：Journal of Computational Analysis and Applications, 2017, 23(7): 1242-1251.

• Fuzzy number
• Quotient space
• Fuzzy differential equation
• Asymptotically stability

In this paper, we investigate essentially stability theory for the fuzzy differential equations in the quotient space of fuzzy numbers by Lyapunov-like functions. By using the differential inequalities and the comparison principle for Lyapunov-like functions, we give some sufficient criterias for the asymptotically stability, equi-asymptotically stability and uniformly asymptotically stability of the trivial solution of the fuzzy differential equations.

• 出版日期2017-11-30
• 单位重庆邮电大学