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Stability of Differential Systems with Impulsive Effects

Author

Listed:
  • Chunxiang Li

    (Department of Mathematics and Physics, Faculty of Military Medical Services, Naval Medical University, Shanghai 200433, China)

  • Fangshu Hui

    (Department of Mathematics and Physics, Faculty of Military Medical Services, Naval Medical University, Shanghai 200433, China)

  • Fangfei Li

    (School of Mathematics, East China University of Science and Technology, Shanghai 200237, China
    Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China)

Abstract

In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered. These systems include impulsive differential systems, stochastic impulsive differential systems and differential systems with several specific impulses (non-instantaneous impulses, delayed impulses, impulses suffered by logic choice and impulse time windows). The stability issues as well as the applications in neural networks are discussed in detail.

Suggested Citation

  • Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4382-:d:1264617
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    References listed on IDEAS

    as
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    8. Chunxiang Li & Lijuan Shen & Fangshu Hui & Wen Luo & Zhongliang Wang, 2023. "Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses," Mathematics, MDPI, vol. 11(7), pages 1-17, March.
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