Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays.
In this paper, a general class of recurrent neural networks with time-varying delays is studied. Some novel and sufficient conditions are given to guarantee the global exponential stability of the equilibrium point and the existence of periodic solutions for such delayed neural networks. Comparing with some previous literature, in which the time-varying delays were assumed to be differentiable and their derivatives were simultaneously required to be not greater than 1, the restrictions on the time-varying delays are removed. Therefore, our results obtained here improve and extend some previously related results. Finally, two numerical examples are provided to illustrate our theorems.
Huang
He
H
Department of Computer Science and Engineering, Southeast University, Nanjing 210096, People's Republic of China.
Ho
Daniel W C
DW
Cao
Jinde
J
D000465:Algorithms; D003198:Computer Simulation; D006801:Humans; D016571:Neural Networks, Computer; D009434:Neural Pathways / Q000502:physiology; D009474:Neurons / Q000502:physiology; D017711:Nonlinear Dynamics; D010507:Periodicity; D011930:Reaction Time / Q000502:physiology*