Stability analysis for neural dynamics with time-varying delays

Author

Chunhai, Hou ; Jixin, Qian

Author_Institution

Inst. of Ind. Process Control, Zhejiang Univ., Hangzhou, China

Volume

9

Issue

1

fYear

1998

fDate

1/1/1998 12:00:00 AM

Firstpage

221

Lastpage

223

Abstract

By using the usual additive neural-network model, a delay-independent stability criterion for neural dynamics with perturbations of time-varying delays is derived. We extend previously known results obtained by Gopalsamy and He (1994) to the time varying delay case, and present decay estimates of solutions of neural networks. The asymptotic stability is global in the state space of neuronal activations. From the techniques used in this paper, it is shown that our criterion ensures stability of neural dynamics even when the delay functions vary violently with time. Our approach provides an effective method for the stability analysis of neural dynamics with delays

Keywords

asymptotic stability; delays; dynamics; neural nets; stability criteria; transfer functions; additive neural-network model; asymptotic stability; decay estimates; delay-independent stability criterion; neural dynamics; neuronal activations; stability analysis; time-varying delays; Associative memory; Asymptotic stability; Circuits; Delay effects; Delay estimation; Helium; Neural networks; Stability analysis; Stability criteria; Transfer functions;

fLanguage

English

Journal_Title

Neural Networks, IEEE Transactions on

Publisher

ieee

ISSN

1045-9227

Type

jour

DOI

10.1109/72.655044

Filename

655044