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Complexity
Volume 2017 (2017), Article ID 9323172, 10 pages
https://doi.org/10.1155/2017/9323172
Research Article

Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control

Hubei Normal University, Hubei 435002, China

Correspondence should be addressed to Jin-E Zhang; moc.361@50212068gnahz

Received 1 April 2017; Accepted 5 July 2017; Published 7 August 2017

Academic Editor: Guang Li

Copyright © 2017 Jin-E Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We show that every subnetwork of a class of coupled fractional-order neural networks consisting of identical subnetworks can have locally Mittag-Leffler stable equilibria. In addition, we give some algebraic criteria for ascertaining the static multisynchronization of coupled fractional-order neural networks with fixed and switching topologies, respectively. The obtained theoretical results characterize multisynchronization feature for multistable control systems. Two numerical examples are given to verify the superiority of the proposed results.