Title of article :
Stability analysis of Cohen–Grossberg neural network with both time-varying and continuously distributed delays
Author/Authors :
Song، نويسنده , , Qiankun and Cao، نويسنده , , Jinde، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
In this paper, the Cohen–Grossberg neural network model with both time-varying and continuously distributed delays is considered. Without assuming both global Lipschitz conditions on these activation functions and the differentiability on these time-varying delays, applying the idea of vector Lyapunov function, M-matrix theory and inequality technique, several new sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential stability of equilibrium point for Cohen–Grossberg neural network with both time-varying and continuously distributed delays. These results generalize and improve the earlier publications. Two numerical examples are given to show the effectiveness of the obtained results. It is believed that these results are significant and useful for the design and applications of the Cohen–Grossberg neural networks.
Keywords :
Cohen–Grossberg neural network , Distributed delays , Time-varying delays , Global exponential stability
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics