Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control
This paper is concerned with the exponential stability for a class of linear delay differential systems under logic impulsive control. Based on logic impulsive control, the strong constraint that the coefficient functions of this kind of linear delay differential system need to be non-negative, whic...
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9504571/ |
| _version_ | 1819141133856407552 |
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| author | Chunxiang Li |
| author_facet | Chunxiang Li |
| author_sort | Chunxiang Li |
| collection | DOAJ |
| description | This paper is concerned with the exponential stability for a class of linear delay differential systems under logic impulsive control. Based on logic impulsive control, the strong constraint that the coefficient functions of this kind of linear delay differential system need to be non-negative, which is required in most of the previous studies, is reduced. By establishing the relationship between the logic impulsive system and a corresponding non-impulsive system, some exponential stability criteria for linear delay differential systems under logic impulsive control are presented in the following two cases: <italic>Case A</italic>–The coefficient functions are non-negative, <italic>Case B</italic>–The coefficient functions can be negative. Two numerical examples are discussed to verify the results. |
| first_indexed | 2024-12-22T11:49:37Z |
| format | Article |
| id | doaj.art-738a6529455d4cc08217142a05b02568 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T11:49:37Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-738a6529455d4cc08217142a05b025682022-12-21T18:27:02ZengIEEEIEEE Access2169-35362021-01-01910788410789410.1109/ACCESS.2021.31020719504571Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive ControlChunxiang Li0https://orcid.org/0000-0002-8931-1790Department of Mathematics and Physics, Faculty of Military Health Services, Naval Medical University, Shanghai, ChinaThis paper is concerned with the exponential stability for a class of linear delay differential systems under logic impulsive control. Based on logic impulsive control, the strong constraint that the coefficient functions of this kind of linear delay differential system need to be non-negative, which is required in most of the previous studies, is reduced. By establishing the relationship between the logic impulsive system and a corresponding non-impulsive system, some exponential stability criteria for linear delay differential systems under logic impulsive control are presented in the following two cases: <italic>Case A</italic>–The coefficient functions are non-negative, <italic>Case B</italic>–The coefficient functions can be negative. Two numerical examples are discussed to verify the results.https://ieeexplore.ieee.org/document/9504571/Exponential stabilityimpulsive controllogic choicelinear delay differential system |
| spellingShingle | Chunxiang Li Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control IEEE Access Exponential stability impulsive control logic choice linear delay differential system |
| title | Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control |
| title_full | Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control |
| title_fullStr | Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control |
| title_full_unstemmed | Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control |
| title_short | Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control |
| title_sort | exponential stability for a class of linear delay differential systems under logic impulsive control |
| topic | Exponential stability impulsive control logic choice linear delay differential system |
| url | https://ieeexplore.ieee.org/document/9504571/ |
| work_keys_str_mv | AT chunxiangli exponentialstabilityforaclassoflineardelaydifferentialsystemsunderlogicimpulsivecontrol |