Next Article in Journal
Markov Chain Monte Carlo Used in Parameter Inference of Magnetic Resonance Spectra
Next Article in Special Issue
A Novel Weak Fuzzy Solution for Fuzzy Linear System
Previous Article in Journal
Bounding Extremal Degrees of Edge-Independent Random Graphs Using Relative Entropy
Previous Article in Special Issue
Particular Solutions of the Confluent Hypergeometric Differential Equation by Using the Nabla Fractional Calculus Operator
Article Menu

Export Article

Open AccessArticle
Entropy 2016, 18(2), 55; doi:10.3390/e18020055

Stability Analysis and Synchronization for a Class of Fractional-Order Neural Networks

1,* and 1,2
1
Department of Applied Mathematics, Huainan Normal University, Huainan 232038, China
2
College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
*
Author to whom correspondence should be addressed.
Received: 26 November 2015 / Accepted: 2 February 2016 / Published: 6 February 2016
(This article belongs to the Special Issue Complex and Fractional Dynamics)
View Full-Text   |   Download PDF [719 KB, uploaded 18 February 2016]   |  

Abstract

Stability of a class of fractional-order neural networks (FONNs) is analyzed in this paper. First, two sufficient conditions for convergence of the solution for such systems are obtained by utilizing Gronwall–Bellman lemma and Laplace transform technique. Then, according to the fractional-order Lyapunov second method and linear feedback control, the synchronization problem between two fractional-order chaotic neural networks is investigated. Finally, several numerical examples are presented to justify the feasibility of the proposed methods. View Full-Text
Keywords: asymptotic stability; fractional-order system; neural networks; synchronization asymptotic stability; fractional-order system; neural networks; synchronization
Figures

Figure 1

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. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Li, G.; Liu, H. Stability Analysis and Synchronization for a Class of Fractional-Order Neural Networks. Entropy 2016, 18, 55.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top