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Stability of delay differential systems under impulsive control suffered by logic choice

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  • Chunxiang Li

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.

Suggested Citation

  • Chunxiang Li, 2023. "Stability of delay differential systems under impulsive control suffered by logic choice," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(12), pages 2442-2451, September.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2442-2451
    DOI: 10.1080/00207721.2021.1968065
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