Title: Exponential stability results for fixed and random type impulsive Hopfield neural networks

Authors: A. Vinodkumar; R. Rakkiyappan

Addresses: Department of Mathematics, Amrita School of Engineerring, Amrita Vishwa Vidyapeetham, Amrita Nagar, Coimbatore – 641 112, Tamil Nadu, India ' Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India

Abstract: This article presents the exponential stability results on impulsive Hopfield neural networks (IHNNs) via variation of parameters and fixed point theory. The study is mainly considering two types of IHNNs, namely fixed and random type IHNNs. A numerical example is also presented to validate the theoretical results.

Keywords: impulsive systems; exponential stability; Hopfield neural networks; fixed point theorem.

DOI: 10.1504/IJCSM.2016.076020

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.1, pp.1 - 19

Received: 05 Oct 2013
Accepted: 31 Jan 2014
Published online: 22 Apr 2016 *

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