Exponential stability analysis of impulsive neural networks with distributed delays

Author

Yang, Jianfu ; Ding, Wensi ; Yang, Fengjian ; Li, Wei ; Wang, Qian ; Liang, Lishi ; Hong, Qun

Author_Institution

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

fYear

2010

fDate

26-28 May 2010

Firstpage

1741

Lastpage

1744

Abstract

A class of impulsive neural networks with distributed delays is studied in this paper. With assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, combining Young inequality and Halanay differential inequality with delay, sufficient conditions are obtained for the existence of unique and global exponential stable equilibrium of the distributed delay neural networks.

Keywords

Lyapunov methods; asymptotic stability; delays; neurocontrollers; Halanay differential inequality; distributed delay neural networks; exponential stability analysis; global Lipschitz conditions; global exponential stable equilibrium; impulsive neural networks; vector Lyapunov function; Agricultural engineering; Biological system modeling; Cellular neural networks; Cities and towns; Computer networks; Delay effects; Kernel; Lyapunov method; Neural networks; Stability analysis; Lyapunov function; Neural Networks; Young inequality;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498476

Filename

5498476