LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with p-Laplace Diffusion
Joint Authors
Wang, Xiong Rui
Rao, Ruofeng
Zhong, Shouming
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The nonlinear p-Laplace diffusion (p>1) 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 p=2, p-Laplace diffusion is just the conventional Laplace diffusion in many previous literatures.
And it is worth mentioning that even if p=2, 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.
American Psychological Association (APA)
Wang, Xiong Rui& Rao, Ruofeng& Zhong, Shouming. 2012. LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with p-Laplace Diffusion. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993336
Modern Language Association (MLA)
Wang, Xiong Rui…[et al.]. LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with p-Laplace Diffusion. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-993336
American Medical Association (AMA)
Wang, Xiong Rui& Rao, Ruofeng& Zhong, Shouming. LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with p-Laplace Diffusion. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993336
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993336