New conditions for dynamical behaviors of cellular neural networks with time-varying delays

Author

Mao, Zisen ; Dou, Feifei ; Cheng, Lijun

Author_Institution

Coll. of Sci., PLA Univ. of Sci. & Technol., Nanjing, China

Volume

1

fYear

2011

fDate

15-17 Oct. 2011

Firstpage

206

Lastpage

210

Abstract

In this paper, a model describing dynamics of cellular neural networks with time-varying delays is considered. Without assuming Lipschitz conditions on activation functions, by employing Brouwer´s fixed point theorem and applying inequality technique, some new sufficient conditions on the existence, uniqueness and exponential stability of equilibrium point are obtained. Finally, two examples with their numerical simulations are provided to show the correctness of our analysis.

Keywords

asymptotic stability; cellular neural nets; delays; numerical analysis; time-varying systems; Brouwer fixed point theorem; Lipschitz conditions; activation functions; cellular neural networks; dynamical behaviors; equilibrium point; exponential stability; inequality technique; numerical simulations; time-varying delays; Asymptotic stability; Cellular neural networks; Delay; Neurons; Stability criteria; Cellular neural networks; Equilibrium point; Exponential stability; Time-varying delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Image and Signal Processing (CISP), 2011 4th International Congress on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-9304-3

Type

conf

DOI

10.1109/CISP.2011.6099949

Filename

6099949