Boundedness and stability for nonautonomous cellular neural networks with delay.
In this paper, a class of nonautonomous cellular neural networks is studied. By constructing a suitable Liapunov functional, applying the boundedness theorem for general functional-differential equations and the Banach fixed point theorem, a series of new criteria are obtained on the boundedness, global exponential stability, and existence of periodic solutions.
Rehim
Mehbuba
M
Department of Mathematics, Xinjiang University, Urumqi 830046, China. mehbuba@mail.xj.cninfo.net
Jiang
Haijun
H
Teng
Zhidong
Z
D000818:Animals; D001185:Artificial Intelligence; D055592:Biophysical Phenomena; D001703:Biophysics; D003198:Computer Simulation; D005246:Feedback; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D013997:Time Factors