Stability of delay differential systems under impulsive control suffered by logic choice
Chunxiang Li
International Journal of Systems Science, 2023, vol. 54, issue 12, 2442-2451
Abstract:
This paper focuses on the stability of delay differential systems under impulsive control suffered by logic choice. Firstly, an impulsive control suffered by logic choice is constructed for a delay differential system to make it more suitable for some practical problems. Secondly, by using a semi-tensor product, an effective method for qualitative analysis, such as stability analysis, of a differential delay system under impulsive control suffered by logic choice is proposed. That is, the properties of a differential delay system under impulsive control suffered by logic choice can be obtained by the properties of a corresponding non-impulsive differential delay system. Thirdly, some stability criteria are obtained. Finally, three illustrative examples are also discussed.
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2442-2451
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DOI: 10.1080/00207721.2021.1968065
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