Title :
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
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;
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
DOI :
10.1109/CCDC.2010.5498476
