Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays

Author

Liu, Zhigang ; Chen, Anping ; Cao, Jinde ; Huang, Lihong

Author_Institution

Dept. of Math., Xiangnan Coll., Chenzhou, China

Volume

50

Issue

9

fYear

2003

Firstpage

1162

Lastpage

1173

Abstract

Several sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution for the bidirectional associative memory (BAM) neural networks with periodic coefficients and time-varying delays by using the continuation theorem of Mawhin´s coincidence degree theory and Gronwall´s inequality. These results are helpful to design globally exponentially stable BAM networks and periodic oscillatory neural networks.

Keywords

asymptotic stability; content-addressable storage; delays; neural nets; time-varying systems; Gronwall inequality; Mawhin coincidence degree theory; bidirectional associative memory neural network; continuation theorem; global exponential stability; periodic coefficients; periodic oscillatory solution; time-varying delay; Associative memory; Automatic control; Equations; Magnesium compounds; Mathematics; Neural networks; Neurons; Pattern recognition; Stability; Sufficient conditions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2003.816306

Filename

1230224