LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with -Laplace Diffusion

Xiongrui Wang, Ruofeng Rao and Shouming Zhong

Journal of Applied Mathematics, 2012, vol. 2012, 1-12

Abstract:

The nonlinear -Laplace diffusion ( ) was considered in the Cohen-Grossberg neural network (CGNN), and a new linear matrix inequalities (LMI) criterion is obtained, which ensures the equilibrium of CGNN is stochastically exponentially stable. Note that, if , -Laplace diffusion is just the conventional Laplace diffusion in many previous literatures. And it is worth mentioning that even if , the new criterion improves some recent ones due to computational efficiency. In addition, the resulting criterion has advantages over some previous ones in that both the impulsive assumption and diffusion simulation are more natural than those of some recent literatures.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2012/523812.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2012/523812.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:523812

DOI: 10.1155/2012/523812

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().