Title: α-stability of fractional-order Hopfield neural networks

Authors: Changjin Xu; Peiluan Li

Addresses: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China ' School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

Abstract: This paper deals with a class of fractional-order Hopfield neural networks. Applying the contraction mapping principle and the inequality technique. Some very verifiable criteria on the α-stability of fractional-order Hopfield neural networks are obtained. Finally, an example is given to illustrate our main theoretical findings. Our results are new and complement previously known results.

Keywords: Hopfield neural networks; fractional order; α-stability.

DOI: 10.1504/IJDSDE.2018.096207

International Journal of Dynamical Systems and Differential Equations, 2018 Vol.8 No.4, pp.270 - 279

Received: 02 Feb 2017
Accepted: 22 Sep 2017
Published online: 19 Nov 2018 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article