Title :
Existence and exponential stability of periodic solution for Cohen-Grossberg neural networks with hybrid delays
Author :
Zhang, Xinhua ; Li, Zuoan ; Li, Kelin
Author_Institution :
Sch. of Sci., Sichuan Univ. of Sci. & Eng., Zigong, China
Abstract :
In this paper, a generalized model of Cohen-Grossberg neural networks with periodic coefficients and hybrid delays is investigated. By employing integro-differential inequality and M-matrix theory, some sufficient conditions ensuring the existence and global exponential stability of the periodic oscillatory solution for Cohen-Grossberg neural networks with hybrid delays are obtained. An examples is given to show the effectiveness of the obtained results.
Keywords :
asymptotic stability; delays; integro-differential equations; matrix algebra; neural nets; periodic control; Cohen-Grossberg neural network; M-matrix theory; existence; global exponential stability; hybrid delay; integro-differential inequality; periodic coefficients; periodic oscillatory solution; periodic solution; Artificial neural networks; Asymptotic stability; Delay; Kernel; Neurons; Stability criteria; Cohen-Grossberg neural networks; Periodic oscillatory solution; exponential stability; hybrid delays;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5583699
