Refined Wirtinger-type integral inequality
Abstract 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 compa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1700-4 |
| _version_ | 1818282200856002560 |
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| author | Liansheng Zhang Shuxia Wang |
| author_facet | Liansheng Zhang Shuxia Wang |
| author_sort | Liansheng Zhang |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-13T00:17:14Z |
| format | Article |
| id | doaj.art-e1e14f6c2a2a4e7784b1e51a99a789f6 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-13T00:17:14Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e1e14f6c2a2a4e7784b1e51a99a789f62022-12-22T00:05:46ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-05-01201811710.1186/s13660-018-1700-4Refined Wirtinger-type integral inequalityLiansheng Zhang0Shuxia Wang1Department of Mathematics and Physics, Beijing Institute of Petro-Chemical TechnologyDepartment of Mathematics and Physics, Beijing Institute of Petro-Chemical TechnologyAbstract 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.http://link.springer.com/article/10.1186/s13660-018-1700-4Wirtinger-type double integral inequalityStability analysisSystems with time-delays |
| spellingShingle | Liansheng Zhang Shuxia Wang Refined Wirtinger-type integral inequality Journal of Inequalities and Applications Wirtinger-type double integral inequality Stability analysis Systems with time-delays |
| 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 | Wirtinger-type double integral inequality Stability analysis Systems with time-delays |
| url | http://link.springer.com/article/10.1186/s13660-018-1700-4 |
| work_keys_str_mv | AT lianshengzhang refinedwirtingertypeintegralinequality AT shuxiawang refinedwirtingertypeintegralinequality |