Title :
Globally Exponential Stability of a Class of Neural Networks with Variable Delays
Author :
Yang, Jianfu ; Liu, Ren ; Yang, Fengjian ; Li, Wei ; Gao, Chuanxiang ; Wu, Dongqing
Author_Institution :
Dept. of Comput. Sci., Zhongkai Univ. of Agric. & Eng., Guangzhou, China
fDate :
Nov. 30 2009-Dec. 1 2009
Abstract :
In this paper we study the globally exponential stability of a class of neural networks with time-varying delays. Applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the sufficient conditions for the existence and globally exponential stability of the equilibrium point are obtained.
Keywords :
Lyapunov methods; delays; neural nets; Halanay differential inequality; Lyapunov function; Young inequality; globally exponential stability; neural networks; time-varying delays; variable delays; Agricultural engineering; Agriculture; Asymptotic stability; Cellular neural networks; Delay effects; Knowledge engineering; Lyapunov method; Neural networks; Neurons; Sufficient conditions; globally exponential stability; vector Lyapunov function;
Conference_Titel :
Knowledge Acquisition and Modeling, 2009. KAM '09. Second International Symposium on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3888-4
DOI :
10.1109/KAM.2009.143