Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 648148, 14 pages
doi:10.1155/2008/648148
Research Article
New Results of a Class of Two-Neuron Networks with Time-Varying Delays
1College of Mathematics and Computers, Changsha University of Science and Technology, Changsha, Hunan 410076, China
2College of Electrical and Information Engineering, Hunan University, Changsha, Hunan 410082, China
3College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China
Received 19 September 2008; Accepted 4 December 2008
Academic Editor: Marta Garcia-Huidobro
Copyright © 2008 Chuangxia Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
With the help of the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, we make a further investigation of a class of planar systems, which is generalization of some existing neural networks under a time-varying environment. Without assuming the smoothness, monotonicity, and boundedness of the activation functions, a set of sufficient conditions is given for checking the existence of periodic solution and global exponential stability for such neural networks. The obtained results extend and improve some earlier publications.