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Discrete-time BAM neural networks with variable delays

Liu, Xin-Ge, Tang, Mei-Lan, Martin, Ralph Robert and Liu, Xin-Bi 2007. Discrete-time BAM neural networks with variable delays. Physics letters. A. 367 (4-5) , pp. 322-330. 10.1016/j.physleta.2007.03.037

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Abstract

This Letter deals with the global exponential stability of discrete-time bidirectional associative memory (BAM) neural networks with variable delays. Using a Lyapunov functional, and linear matrix inequality techniques (LMI), we derive a new delay-dependent exponential stability criterion for BAM neural networks with variable delays. As this criterion has no extra constraints on the variable delay functions, it can be applied to quite general BAM neural networks with a broad range of time delay functions. It is also easy to use in practice. An example is provided to illustrate the theoretical development.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: BAM neural network; Discrete-time; Global exponential stability; Variable delay; Linear matrix inequality (LMI); Delay-dependent
Additional Information: PDF uploaded in accordance with publisher's policy http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy [accessed 23/03/2015] NOTICE: this is the author’s version of a work that was accepted for publication in Physics letters A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics letters A, [VOL 367, ISSUE 4-5, 2007] DOI 10.1016/j.physleta.2007.03.037
Publisher: Elsevier
ISSN: 0375-9601
Last Modified: 19 Nov 2023 14:43
URI: https://orca.cardiff.ac.uk/id/eprint/5207

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