Global exponential stability of bidirectional associative memory neural networks with time delays

Liu, Xin-Ge, Martin, Ralph Robert, Wu, Min and Tang, Mei-Lan 2008. Global exponential stability of bidirectional associative memory neural networks with time delays. IEEE Transactions on Neural Networks 19 (3) , pp. 397-407. 10.1109/TNN.2007.908633

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Abstract

In this paper, we consider delayed bidirectional associative memory (BAM) neural networks (NNs) with Lipschitz continuous activation functions. By applying Young's inequality and Holder's inequality techniques together with the properties of monotonic continuous functions, global exponential stability criteria are established for BAM NNs with time delays. This is done through the use of a new Lyapunov functional and an M-matrix. The results obtained in this paper extend and improve previous results.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Uncontrolled Keywords:	Bidirectional associative memory (BAM) neural networks (NNs); global exponential stability; Lyapunov functionals; Young's inequality
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	1045-9227
Last Modified:	04 Jun 2017 01:53
URI:	https://orca.cardiff.ac.uk/id/eprint/5288

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