Title :
Exponential Stability of Impulsive Neural Networks with Distributed Delays
Author :
Yang, Jianfu ; Yang, Fengjian ; Liu, Ren ; Li, Wei ; Wu, Dongqing
Author_Institution :
Dept. of Comput. Sci., Zhongkai Univ. of Agric. & Eng., Guangzhou, China
Abstract :
In this paper, with assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the global exponential stability of the equilibrium point for a class of cellular neural networks with distributed delays and large impulses is investigated, the sufficient conditions for globally exponential stability of neural networks are obtained.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delays; transfer functions; Halanay differential inequality; Young inequality; activation function; cellular neural networks; distributed delay; exponential stability; global Lipschitz conditions; impulsive neural network; vector Lyapunov function; Agricultural engineering; Agriculture; Cellular neural networks; Computer networks; Distributed computing; Genetics; Kernel; Lyapunov method; Neural networks; Stability; global Lipschitz conditions;
Conference_Titel :
Genetic and Evolutionary Computing, 2009. WGEC '09. 3rd International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-0-7695-3899-0
DOI :
10.1109/WGEC.2009.34
