IEEEXplore# New sufficient conditions for absolute stability of neural networks

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New sufficient conditions for absolute stability of neural networks

Xue-Bin Liang Li-De Wu
Dept. of Comput. Sci., Fudan Univ., Shanghai, China;
This paper appears in: Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publication Date: May 1998
Volume: 45 , Issue: 5
On page(s): 584 - 586
ISSN: 1057-7122
Digital Object Identifier: 10.1109/81.668873
Current Version Published: 2002-08-06

Abstract
The main result obtained in this paper is that for a neural network with interconnection matrix T, if -T is quasi-diagonally row-sum or column-sum dominant, then the network system is absolutely stable. The above two sufficient conditions for absolute stability are independent of the existing sufficient ones in the literature. Under either of the above two sufficient conditions for absolute stability, the vector field defined by the network system is also structurally stable

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