Mittag-Leffler stability analysis of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument

Advances in Difference Equations

Ailong Wu¹  Liguang Wan² 

[1] College of Mathematics and Statistics, Hubei Normal University, Huangshi, China;College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi, China

关键词: Cohen-Grossberg neural networks;    fractional-order systems;    Mittag-Leffler stability;    deviating argument;   

DOI  :  10.1186/s13662-017-1368-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the Mittag-Leffler stability of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument. Applying the Lyapunov method, the generalized Gronwall-Bellman inequality, and the theory of fractional-order differential equations, sufficient conditions are presented to guarantee the existence and uniqueness of solution. Besides, the global Mittag-Leffler stability is investigated. The obtained criteria are useful in the analysis and design of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument. A numerical example is given to substantiate the validity of the theoretical results.

【 授权许可】

CC BY