Mittag-Leffler stability analysis of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument
نویسندگان
چکیده
*Correspondence: [email protected] 2College of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China 3Institute for Information and System Science, Xi’an Jiaotong University, Xi’an, 710049, China Full list of author information is available at the end of the article Abstract 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.
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