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Global Asymptotic Stability of Delayed Cohen--Grossberg Neural Networks.
- Source :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers; Feb2006, Vol. 53 Issue 2, p351-357, 7p
- Publication Year :
- 2006
-
Abstract
- In this paper, we study the Cohen-Grossberg neural networks with discrete and distributed delays. For a general class of internal decay functions, without assuming the boundedness, differentiability, and monotonicity of the activation functions, we establish some sufficient conditions for the existence of a unique equilibrium and its global asymptotic stability. Theory of M-matrices and Lyapunov functional technique are employed. The criteria are independent of delays and hence delays are harmless in our case. Our results improve and generalize some existing ones. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15498328
- Volume :
- 53
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers
- Publication Type :
- Periodical
- Accession number :
- 20229936
- Full Text :
- https://doi.org/10.1109/TCSI.2005.856047