TY - JOUR A2 - Wong, Patricia J. Y. AU - El Allaoui, Abdelati AU - Melliani, Said AU - Chadli, Lalla Saadia PY - 2020 DA - 2020/08/01 TI - Stability of Fuzzy Dynamical Systems via Lyapunov Functions SP - 6218424 VL - 2020 AB - The purpose of this paper is to introduce the concept of fuzzy Lyapunov functions to study the notion of stability of equilibrium points for fuzzy dynamical systems associated with fuzzy initial value problems, through the principle of Zadeh. Our contribution consists in a qualitative characterization of stability by a study of the trajectories of fuzzy dynamical systems, using auxiliary functions, and they will be called fuzzy Lyapunov functions. And, among the main results that have been proven is that the existence of fuzzy Lyapunov functions is a necessary and sufficient condition for stability. Some examples are given to illustrate the obtained results. SN - 1687-9643 UR - https://doi.org/10.1155/2020/6218424 DO - 10.1155/2020/6218424 JF - International Journal of Differential Equations PB - Hindawi KW - ER -