Journal
PHYSICS LETTERS A
Volume 364, Issue 1, Pages 17-28Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2006.11.075
Keywords
SICNNs; Hull equation; fixed point theory; almost periodic solution; time varying delays; continuously distributed delays
Categories
Ask authors/readers for more resources
For shunting inhibitory cellular neural networks (SICNNs) with time varying, and continuously distributed, delays, by the investigation of the hull equation, this Letter gives several sufficient conditions guaranteeing the local existence, uniqueness and uniform asymptotical stability of one almost periodic solution of the networks using inequality techniques, fixed point theory and Lyapunov functional. Compared with some known results, the obtained ones are less restrictive, e.g., the assumptions requiring the absolute value of the activation functions to be bounded, and the kernel functions k(ij) (s), determining the distributed delays, to be integral(infinity)(0) k(ij) (s) exp(lambda(0)s) ds < infinity (lambda(0) > 0), are completely dropped. Strictly speaking, all known results are not applicable to SICNNs with time varying coefficients, even for some SICNNs with constant coefficients, only our criterions can give explicit avouchment. Thus the obtained conclusions have wider applicable range, improve and complement the known results. Finally, the feasibility as well as the excellence is presented by two illustrative examples, respectively. (c) 2006 Published by Elsevier B.V.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available