On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect

Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and...

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Detalles Bibliográficos
Autores principales: Shatyrko, Andriy, Khusainov, Denys
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5097856/
https://www.ncbi.nlm.nih.gov/pubmed/27844050
http://dx.doi.org/10.1155/2016/6490826
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author Shatyrko, Andriy
Khusainov, Denys
author_facet Shatyrko, Andriy
Khusainov, Denys
author_sort Shatyrko, Andriy
collection PubMed
description Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements.
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spelling pubmed-50978562016-11-14 On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect Shatyrko, Andriy Khusainov, Denys ScientificWorldJournal Research Article Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements. Hindawi Publishing Corporation 2016 2016-10-23 /pmc/articles/PMC5097856/ /pubmed/27844050 http://dx.doi.org/10.1155/2016/6490826 Text en Copyright © 2016 A. Shatyrko and D. Khusainov. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Shatyrko, Andriy
Khusainov, Denys
On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_full On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_fullStr On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_full_unstemmed On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_short On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_sort on the interval stability of weak-nonlinear control systems with aftereffect
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5097856/
https://www.ncbi.nlm.nih.gov/pubmed/27844050
http://dx.doi.org/10.1155/2016/6490826
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