Criteria for exponential stability of neural networks with distributed delays

Author

Yang, Jianfu ; Ding, Wensi ; Yang, Fengjian ; Wang, Qian ; Hu, Xiaojian ; Wu, Dongqing

Author_Institution

Coll. of Comput. Sci., Zhongkai Univ. of Agric. & Eng., Guangzhou, China

Volume

2

fYear

2010

fDate

28-31 Aug. 2010

Firstpage

645

Lastpage

648

Abstract

In this paper, the global exponential stability is studied for a class of cellular neural networks with distributed delays. With assuming global Lipschitz conditions on the activation functions, based on the vector Lyapunov function, using the technique by virtue of Young inequality and Halanay differential inequality with delay, some sufficient conditions are obtained to ensure the uniqueness equilibrium point and globally exponential stability.

Keywords

Lyapunov methods; asymptotic stability; cellular neural nets; delays; stability criteria; transfer functions; Halanay differential inequality; Lipschitz condition; Lyapunov function; Young inequality; activation function; cellular neural network; distributed delay; global exponential stability; stability criteria; Artificial neural networks; Asymptotic stability; Cellular neural networks; Circuit stability; Delay; Stability criteria; Lyapunov function; global exponential stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Geoscience and Remote Sensing (IITA-GRS), 2010 Second IITA International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-8514-7

Type

conf

DOI

10.1109/IITA-GRS.2010.5602317

Filename

5602317