Refined Wirtinger-type integral inequality

Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper. The proposed inequality generalizes and refines the classical Wirtinger-based integral inequality and has less conservatism in comparison wit...

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Detalles Bibliográficos
Autores principales: Zhang, Liansheng, Wang, Shuxia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5942364/
https://www.ncbi.nlm.nih.gov/pubmed/29769791
http://dx.doi.org/10.1186/s13660-018-1700-4
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author Zhang, Liansheng
Wang, Shuxia
author_facet Zhang, Liansheng
Wang, Shuxia
author_sort Zhang, Liansheng
collection PubMed
description Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper. The proposed inequality generalizes and refines the classical Wirtinger-based integral inequality and has less conservatism in comparison with Jensen’s double integral inequality and other double integral inequalities in the literature. Thus, the stability criteria for delayed control systems derived by the proposed refined Wirtinger-type integral inequality are less conservative than existing results in the literature.
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spelling pubmed-59423642018-05-14 Refined Wirtinger-type integral inequality Zhang, Liansheng Wang, Shuxia J Inequal Appl Research Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper. The proposed inequality generalizes and refines the classical Wirtinger-based integral inequality and has less conservatism in comparison with Jensen’s double integral inequality and other double integral inequalities in the literature. Thus, the stability criteria for delayed control systems derived by the proposed refined Wirtinger-type integral inequality are less conservative than existing results in the literature. Springer International Publishing 2018-05-09 2018 /pmc/articles/PMC5942364/ /pubmed/29769791 http://dx.doi.org/10.1186/s13660-018-1700-4 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhang, Liansheng
Wang, Shuxia
Refined Wirtinger-type integral inequality
title Refined Wirtinger-type integral inequality
title_full Refined Wirtinger-type integral inequality
title_fullStr Refined Wirtinger-type integral inequality
title_full_unstemmed Refined Wirtinger-type integral inequality
title_short Refined Wirtinger-type integral inequality
title_sort refined wirtinger-type integral inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5942364/
https://www.ncbi.nlm.nih.gov/pubmed/29769791
http://dx.doi.org/10.1186/s13660-018-1700-4
work_keys_str_mv AT zhangliansheng refinedwirtingertypeintegralinequality
AT wangshuxia refinedwirtingertypeintegralinequality

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