Exponential stability and periodic oscillatory solution in BAM networks with delays

Author

Cao, Jinde ; Wang, Lin

Author_Institution

Dept. of Appl. Math., Southeast Univ., Nanjing, China

Volume

13

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

457

Lastpage

463

Abstract

Both exponential stability and periodic oscillatory solution of bidirectional associative memory (BAM) networks with axonal signal transmission delays are considered by constructing suitable Lyapunov functional and some analysis techniques. Some simple sufficient conditions are given ensuring the global exponential stability and the existence of periodic oscillatory solutions of BAM with delays. These conditions are presented in terms of system parameters and have important leading significance in the design and applications of globally exponentially stable and periodic oscillatory neural circuits for BAM with delays. In addition, two examples are given to illustrate the results

Keywords

asymptotic stability; content-addressable storage; neural nets; BAM Networks; Lyapunov functional; bidirectional associative memory networks; delay; exponential stability; neural circuits; periodic oscillatory; periodic oscillatory solution; Associative memory; Biological neural networks; Chaos; Circuit stability; Delay; Intelligent networks; Magnesium compounds; Pattern recognition; Stability analysis; Sufficient conditions;

fLanguage

English

Journal_Title

Neural Networks, IEEE Transactions on

Publisher

ieee

ISSN

1045-9227

Type

jour

DOI

10.1109/72.991431

Filename

991431