Global Mittag-Leffler stability of complex valued fractional-order neural network with discrete and distributed delays

摘要

Fractional-order Hopfield neural network are often used to model the processing of information on the basis of interaction among the neurons. To show the constancy of the processed information, the system needs to be stable. In this paper, we deal with the problem of existence and uniform stability analysis of a complex valued fractional order delayed neural network. Moreover, as an extension to real valued neural network, this paper provides sufficient conditions for Mittag-Leffler stability of the system. At the end, we give three suitable examples to substantiate the effectiveness of the obtained theoretical results.