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Proc Math Phys Eng Sci. 2017 Aug;473(2204):20170322. doi: 10.1098/rspa.2017.0322. Epub 2017 Aug 2.

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

Author information

1
School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, People's Republic of China.
2
School of Education, Xizang Minzu University, Xianyang 712082, People's Republic of China.
3
Department of Mathematics, Faculty of Science, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
4
Electrical and Computer Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

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.

KEYWORDS:

Filippov solutions; Mittag-Leffler synchronization; Razumikhin technique; fractional-order bidirectional associative memory neural networks; impulsive control; state feedback control

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