Stability of fuzzy dynamical systems via Lyapunov functions
type: Item
instance of: scholarly article
title: Stability of fuzzy dynamical systems via Lyapunov functions
DOI: 10.1155/2020/6218424
author: Abdelati El Allaoui
author: Said Melliani
author: L. S. Chadli
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7349534
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/6218424
OpenAlex ID: W3046279492
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description: scientific article; zbMATH DE number 7349534