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Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses

Author

Listed:
  • Chunxiang Li

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

  • Lijuan Shen

    (School of Mathematical Sciences, Tongji University, Shanghai 200092, China)

  • Fangshu Hui

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

  • Wen Luo

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

  • Zhongliang Wang

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

Abstract

This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are transformed into an equivalent algebraic expression by using the semi-tensor product method. Thirdly, the mean square exponential stability criteria of nonlinear stochastic delay differential systems with logic impulses are given. Finally, two kinds of stochastic delay differential systems with logic impulses and uncertain parameters are discussed, and the coefficient conditions guaranteeing the mean square exponential stability of these systems are obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1613-:d:1108292
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    References listed on IDEAS

    as
    1. Zhang, Chunmei & Han, Bang-Sheng, 2020. "Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    2. Li, Fangfei & Li, Jianning & Shen, Lijuan, 2018. "State feedback controller design for the synchronization of Boolean networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1267-1276.
    3. Pham Huu Anh Ngoc & Cao Thanh Tinh & Thai Bao Tran, 2019. "Further results on exponential stability of functional differential equations," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(7), pages 1368-1377, May.
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    Cited by:

    1. Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.

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