Existence and Uniform Stability Analysis of Fractional-Order Complex-Valued Neural Networks With Time Delays

Author

Rakkiyappan, R. ; Jinde Cao ; Velmurugan, G.

Author_Institution

Dept. of Math., Bharathiar Univ., Coimbatore, India

Volume

26

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

84

Lastpage

97

Abstract

This paper deals with the problem of existence and uniform stability analysis of fractional-order complex-valued neural networks with constant time delays. Complex-valued recurrent neural networks is an extension of real-valued recurrent neural networks that includes complex-valued states, connection weights, or activation functions. This paper explains sufficient condition for the existence and uniform stability analysis of such networks. Three numerical simulations are delineated to substantiate the effectiveness of the theoretical results.

Keywords

delays; recurrent neural nets; stability; transfer functions; activation functions; complex-valued recurrent neural networks; fractional-order complex-valued neural networks; real-valued recurrent neural networks; sufficient condition; time delays; uniform stability analysis; Artificial neural networks; Biological neural networks; Delay effects; Mathematics; Recurrent neural networks; Stability analysis; Banach contraction fixed point theorem; complex-valued neural networks; fractional order; time delays; time delays.;

fLanguage

English

Journal_Title

Neural Networks and Learning Systems, IEEE Transactions on

Publisher

ieee

ISSN

2162-237X

Type

jour

DOI

10.1109/TNNLS.2014.2311099

Filename

6781037