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Published on: May 8, 2021
Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with
Xiaoshuai Ding1,2, Jinde Cao1,3, Xuan Zhao1
1School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, People's Republic of China.
Abstract:
This paper is concerned with the drive-response synchronization for a class of fractional-order bidirectional associative memory neural networks with time delays, as well as in the presence of discontinuous activation functions. The global existence of solution under the framework of Filippov for such networks is firstly obtained based on the fixed-point theorem for condensing map. Then the state feedback and impulsive controllers are, respectively, designed to ensure the Mittag-Leffler synchronization of these neural networks and two new synchronization criteria are obtained, which are expressed in terms of a fractional comparison principle and Razumikhin techniques. Numerical simulations are presented to validate the proposed methodologies.
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