Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1167.35404
Wang, Linshan; Zhang, Ruojun; Wang, Yangfan
Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays. (English)
[J] Nonlinear Anal., Real World Appl. 10, No. 2, 1101-1113 (2009). ISSN 1468-1218

Summary: The authors discuss the existence of the equilibrium point and its global exponential stability of reaction-diffusion cellular neural networks (RDCNNs) with S-type distributed signal transmission delays along the axon of a neuron by means of the topological degree theory and differential inequality technique. A theorem and two corollaries were obtained in which the boundedness, monotonicity and differentiability conditions on the activation functions are not required. The sufficient conditions on global exponential stability established in this paper, which are easily verifiable, have a wider adaptive range.

MSC 2000:: *35K57 Reaction-diffusion equations
35B35 Stability of solutions of PDE
35R10 Difference-partial differential equations
92B20 General theory of neural networks

Keywords: reaction-diffusion; cellular neural networks; S-type distributed delays; global exponential stability

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]