Abstract and Applied Analysis

New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions

Guoquan Liu, Shumin Zhou, and He Huang

Full-text: Open access

Abstract

The stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed. New delay-dependent conditions are obtained by using more general Lyapunov-Krasovskii functionals. Meanwhile, these conditions are expressed in terms of a linear matrix inequality (LMI) and can be verified using the MATLAB LMI toolbox. Numerical examples are used to illustrate the effectiveness of the proposed approach.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 306583, 14 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365168070

Digital Object Identifier
doi:10.1155/2012/306583

Mathematical Reviews number (MathSciNet)
MR2994940

Zentralblatt MATH identifier
1256.34070

Citation

Liu, Guoquan; Zhou, Shumin; Huang, He. New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 306583, 14 pages. doi:10.1155/2012/306583. https://projecteuclid.org/euclid.aaa/1365168070


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