Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality
This paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is obtained in terms of a linear matrix inequality...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/2854293 |
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| _version_ | 1850217615534850048 |
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| author | Zerong Ren Jun-kang Tian |
| author_facet | Zerong Ren Jun-kang Tian |
| author_sort | Zerong Ren |
| collection | DOAJ |
| description | This paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is obtained in terms of a linear matrix inequality (LMI). Finally, the merits of the proposed criterion are shown by two numerical examples. |
| format | Article |
| id | doaj-art-37e918ce36dc4e298c7b163f69dde871 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-37e918ce36dc4e298c7b163f69dde8712025-08-20T02:08:00ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/28542932854293Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral InequalityZerong Ren0Jun-kang Tian1School of Mathematics, Zunyi Normal College, Zunyi 563002, ChinaSchool of Mathematics, Zunyi Normal College, Zunyi 563002, ChinaThis paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is obtained in terms of a linear matrix inequality (LMI). Finally, the merits of the proposed criterion are shown by two numerical examples.http://dx.doi.org/10.1155/2020/2854293 |
| spellingShingle | Zerong Ren Jun-kang Tian Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality Complexity |
| title | Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality |
| title_full | Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality |
| title_fullStr | Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality |
| title_full_unstemmed | Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality |
| title_short | Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality |
| title_sort | stability analysis of systems with interval time varying delays via a new integral inequality |
| url | http://dx.doi.org/10.1155/2020/2854293 |
| work_keys_str_mv | AT zerongren stabilityanalysisofsystemswithintervaltimevaryingdelaysviaanewintegralinequality AT junkangtian stabilityanalysisofsystemswithintervaltimevaryingdelaysviaanewintegralinequality |