Stability Analysis of Discrete Hopfield Neural Networks with Weighted Function Matrix and Delay

Author

Mao, Jiali ; Li, Jun ; Li, Mingdong ; Zeng, Xianhua

Author_Institution

Dept. of Comput. Sci., China West Normal Univ., Nanchong, China

Volume

2

fYear

2009

fDate

21-22 May 2009

Firstpage

35

Lastpage

38

Abstract

In this paper, discrete Hopfield neural networks with weight function matrix (DHNNWFM) and discrete Hopfield neural networks with weight function matrix and delay (DHNNWFMD) are introduced. And the stability properties of DHNNWFMD that weight function matrix is a symmetric function matrix are studied. And we obtain a important result that If the weight function matrix is a symmetric function matrix and delayed matrix is a column diagonally dominant matrix, DHNNWFMD will converge to a state in serial mode. It provides some theory basis for the application of DHNNWFMD.

Keywords

Hopfield neural nets; delays; matrix algebra; stability; delay; discrete Hopfield neural network; serial mode; stability analysis; symmetric function matrix; weighted function matrix; Application software; Computer networks; Computer science; Delay; Electronic mail; Hopfield neural networks; Neurons; Stability analysis; Symmetric matrices; Time factors; function matrix; recurrent neural networks; stability; symmetric;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing Science, 2009. ICIC '09. Second International Conference on

Conference_Location

Manchester

Print_ISBN

978-0-7695-3634-7

Type

conf

DOI

10.1109/ICIC.2009.117

Filename

5169001