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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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DOI: 10.1080/00207721.2021.1968065

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