Title :
Globally Exponential Stability of Impulsive Neural Networks with Variable Delays
Author :
Yang, Jianfu ; Yang, Fengjian ; Liu, Ren ; Li, Wei ; Wu, Dongqing ; Gao, Chuanxiang
Author_Institution :
Dept. of Comput. Sci., Zhongkai Univ. of Agric. & Eng., Guangzhou, China
Abstract :
In this paper, a class of impulsive neural networks with time-varying delays is studied. Without assumption of global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, combining Halanay differential inequality with delay, a sufficient condition for globally exponential stability of the equilibrium is obtained.
Keywords :
Lyapunov methods; asymptotic stability; neural nets; vectors; Halanay differential inequality; activation functions; global Lipschitz conditions; globally exponential stability; impulsive neural networks; time-varying delays; vector Lyapunov function; Agricultural engineering; Agriculture; Cellular neural networks; Computer networks; Delay effects; Electronic mail; Neural networks; Neurons; Stability; Sufficient conditions; globally exponential stability; impulsive neural networks;
Conference_Titel :
Computer Science and Engineering, 2009. WCSE '09. Second International Workshop on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-3881-5
DOI :
10.1109/WCSE.2009.803
