Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays

The problem of exponential stabilization of neutral-type neural networks with various activation functions and interval nondifferentiable and distributed time-varying delays is considered. The interval time-varying delay function is not required to be differentiable. By employing new and improved Ly...

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Main Authors: W. Weera, P. Niamsup
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/51801
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-518012018-09-04T06:09:24Z Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays W. Weera P. Niamsup Mathematics The problem of exponential stabilization of neutral-type neural networks with various activation functions and interval nondifferentiable and distributed time-varying delays is considered. The interval time-varying delay function is not required to be differentiable. By employing new and improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, the stabilizability criteria are formulated in terms of a linear matrix inequalities. Numerical examples are given to illustrate and show the effectiveness of the obtained results. Copyright © 2012 W. Weera and P. Niamsup. 2018-09-04T06:09:24Z 2018-09-04T06:09:24Z 2012-04-18 Journal 16870409 10853375 2-s2.0-84859727208 10.1155/2012/101426 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859727208&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51801
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
W. Weera
P. Niamsup
Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
description The problem of exponential stabilization of neutral-type neural networks with various activation functions and interval nondifferentiable and distributed time-varying delays is considered. The interval time-varying delay function is not required to be differentiable. By employing new and improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, the stabilizability criteria are formulated in terms of a linear matrix inequalities. Numerical examples are given to illustrate and show the effectiveness of the obtained results. Copyright © 2012 W. Weera and P. Niamsup.
format Journal
author W. Weera
P. Niamsup
author_facet W. Weera
P. Niamsup
author_sort W. Weera
title Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
title_short Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
title_full Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
title_fullStr Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
title_full_unstemmed Exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
title_sort exponential stabilization of neutral-type neural networks with interval nondifferentiable and distributed time-varying delays
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859727208&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51801
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