Stability of Fuzzy Dynamical Systems via Lyapunov Functions
Joint Authors
Melliani, Said
Chadli, Lalla Saadia
El Allaoui, Abdelati
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
El Allaoui, Abdelati& Melliani, Said& Chadli, Lalla Saadia. 2020. Stability of Fuzzy Dynamical Systems via Lyapunov Functions. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1169955
Modern Language Association (MLA)
El Allaoui, Abdelati…[et al.]. Stability of Fuzzy Dynamical Systems via Lyapunov Functions. International Journal of Differential Equations No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1169955
American Medical Association (AMA)
El Allaoui, Abdelati& Melliani, Said& Chadli, Lalla Saadia. Stability of Fuzzy Dynamical Systems via Lyapunov Functions. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1169955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169955
