基于Lyapunov函数的模糊动力系统稳定性

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2020-08-01 DOI:10.1155/2020/6218424

A. El Allaoui, S. Melliani, L. S. Chadli

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引用次数: 1

摘要

本文的目的是引入模糊李雅普诺夫函数的概念，通过Zadeh原理研究与模糊初值问题相关的模糊动力系统平衡点的稳定性概念。我们的贡献在于通过使用辅助函数研究模糊动力系统的轨迹来定性表征稳定性，它们将被称为模糊李雅普诺夫函数。并且，在已经证明的主要结果中，模糊李雅普诺夫函数的存在是稳定性的充要条件。举例说明了所得到的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of Fuzzy Dynamical Systems via Lyapunov Functions

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.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks