New stability criteria for systems with an interval time-varying delay
This paper studies the stability analysis of systems with an interval time-varying delay. First, some new integral inequalities are introduced. Second, based on these new integral inequalities, some less conservative stability criteria are introduced in terms of the linear matrix inequalities. Final...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023057?viewType=HTML |
| _version_ | 1797989924292526080 |
|---|---|
| author | Junkang Tian Zerong Ren Yanmin Liu |
| author_facet | Junkang Tian Zerong Ren Yanmin Liu |
| author_sort | Junkang Tian |
| collection | DOAJ |
| description | This paper studies the stability analysis of systems with an interval time-varying delay. First, some new integral inequalities are introduced. Second, based on these new integral inequalities, some less conservative stability criteria are introduced in terms of the linear matrix inequalities. Finally, the merits of the stability criteria are shown via two numerical examples. |
| first_indexed | 2024-04-11T08:28:14Z |
| format | Article |
| id | doaj.art-c5948adbe19242a38c8bd70563d84267 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T08:28:14Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c5948adbe19242a38c8bd70563d842672022-12-22T04:34:40ZengAIMS PressAIMS Mathematics2473-69882023-01-01811139115310.3934/math.2023057New stability criteria for systems with an interval time-varying delayJunkang Tian 0Zerong Ren1Yanmin Liu2School of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, ChinaSchool of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, ChinaSchool of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, ChinaThis paper studies the stability analysis of systems with an interval time-varying delay. First, some new integral inequalities are introduced. Second, based on these new integral inequalities, some less conservative stability criteria are introduced in terms of the linear matrix inequalities. Finally, the merits of the stability criteria are shown via two numerical examples.https://www.aimspress.com/article/doi/10.3934/math.2023057?viewType=HTMLintegral inequalitytime-varying delaystabilitylinear matrix inequality (lmi) |
| spellingShingle | Junkang Tian Zerong Ren Yanmin Liu New stability criteria for systems with an interval time-varying delay AIMS Mathematics integral inequality time-varying delay stability linear matrix inequality (lmi) |
| title | New stability criteria for systems with an interval time-varying delay |
| title_full | New stability criteria for systems with an interval time-varying delay |
| title_fullStr | New stability criteria for systems with an interval time-varying delay |
| title_full_unstemmed | New stability criteria for systems with an interval time-varying delay |
| title_short | New stability criteria for systems with an interval time-varying delay |
| title_sort | new stability criteria for systems with an interval time varying delay |
| topic | integral inequality time-varying delay stability linear matrix inequality (lmi) |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023057?viewType=HTML |
| work_keys_str_mv | AT junkangtian newstabilitycriteriaforsystemswithanintervaltimevaryingdelay AT zerongren newstabilitycriteriaforsystemswithanintervaltimevaryingdelay AT yanminliu newstabilitycriteriaforsystemswithanintervaltimevaryingdelay |