Review of stability and stabilization for impulsive delayed systems
This paper reviews some recent works on impulsive delayed systems (IDSs). The prime focus is the fundamental results and recent progress in theory and applications. After reviewing the relative literatures, this paper provides a comprehensive and intuitive overview of IDSs. Five aspects of IDSs are...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018069 |
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| _version_ | 1832590089780199424 |
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| author | Xueyan Yang Xiaodi Li Qiang Xi Peiyong Duan |
| author_facet | Xueyan Yang Xiaodi Li Qiang Xi Peiyong Duan |
| author_sort | Xueyan Yang |
| collection | DOAJ |
| description | This paper reviews some recent works on impulsive delayed systems (IDSs). The prime focus is the fundamental results and recent progress in theory and applications. After reviewing the relative literatures, this paper provides a comprehensive and intuitive overview of IDSs. Five aspects of IDSs are surveyed including basic theory, stability analysis, impulsive control, impulsive perturbation, and delayed impulses. Then the research prospect is given, which provides a reference for further study of IDSs theory. |
| format | Article |
| id | doaj-art-f373b65e3d0b45a6b436b12d80935c6e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f373b65e3d0b45a6b436b12d80935c6e2025-01-24T02:41:09ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-11-011561495151510.3934/mbe.2018069Review of stability and stabilization for impulsive delayed systemsXueyan Yang0Xiaodi Li1Qiang Xi2Peiyong Duan3School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, ChinaSchool of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Ji'nan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, ChinaThis paper reviews some recent works on impulsive delayed systems (IDSs). The prime focus is the fundamental results and recent progress in theory and applications. After reviewing the relative literatures, this paper provides a comprehensive and intuitive overview of IDSs. Five aspects of IDSs are surveyed including basic theory, stability analysis, impulsive control, impulsive perturbation, and delayed impulses. Then the research prospect is given, which provides a reference for further study of IDSs theory.https://www.aimspress.com/article/doi/10.3934/mbe.2018069impulsive delayed systemsstability analysisimpulsive controlimpulsive perturbationdelayed impulses |
| spellingShingle | Xueyan Yang Xiaodi Li Qiang Xi Peiyong Duan Review of stability and stabilization for impulsive delayed systems Mathematical Biosciences and Engineering impulsive delayed systems stability analysis impulsive control impulsive perturbation delayed impulses |
| title | Review of stability and stabilization for impulsive delayed systems |
| title_full | Review of stability and stabilization for impulsive delayed systems |
| title_fullStr | Review of stability and stabilization for impulsive delayed systems |
| title_full_unstemmed | Review of stability and stabilization for impulsive delayed systems |
| title_short | Review of stability and stabilization for impulsive delayed systems |
| title_sort | review of stability and stabilization for impulsive delayed systems |
| topic | impulsive delayed systems stability analysis impulsive control impulsive perturbation delayed impulses |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018069 |
| work_keys_str_mv | AT xueyanyang reviewofstabilityandstabilizationforimpulsivedelayedsystems AT xiaodili reviewofstabilityandstabilizationforimpulsivedelayedsystems AT qiangxi reviewofstabilityandstabilizationforimpulsivedelayedsystems AT peiyongduan reviewofstabilityandstabilizationforimpulsivedelayedsystems |