Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes. (2nd August 2017)

• Record Type: Journal Article
• Authors: Ding, Xiaoshuai; Cao, Jinde; Zhao, Xuan; Alsaadi, Fuad E.
• Is Part Of: Proceedings. Volume 473:Number 2204(2017)
• Publication Date: 2017-08-02
• Subjects: fractional-order bidirectional associative memory neural networks -- Mittag-Leffler synchronization -- Filippov solutions -- impulsive control -- state feedback control -- Razumikhin technique; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2017.0322
• Languages: English
• ISSNs: 1364-5021

Abstract

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.