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Stochastic Robustness of Delayed Discrete Noises for Delay Differential Equations

Author

Listed:
  • Fawaz E. Alsaadi

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Lichao Feng

    (College of Science, North China University of Science and Technology, Tangshan 063210, China
    School of Mathematics, Southeast University, Nanjing 210096, China)

  • Madini O. Alassafi

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Reem M. Alotaibi

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Adil M. Ahmad

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Jinde Cao

    (School of Mathematics, Southeast University, Nanjing 210096, China
    Yonsei Frontier Lab, Yonsei University, Seoul 03722, Korea)

Abstract

Stochastic robustness of discrete noises has already been proposed and studied in the previous work. Nevertheless, the significant phenomenon of delays is left in the basket both in the deterministic and the stochastic parts of the considered equation by the existing work. Stimulated by the above, this paper is devoted to studying the stochastic robustness issue of delayed discrete noises for delay differential equations, including the issues of robust stability and robust boundedness.

Suggested Citation

  • Fawaz E. Alsaadi & Lichao Feng & Madini O. Alassafi & Reem M. Alotaibi & Adil M. Ahmad & Jinde Cao, 2022. "Stochastic Robustness of Delayed Discrete Noises for Delay Differential Equations," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:743-:d:759270
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    References listed on IDEAS

    as
    1. Wu, Fuke & Hu, Shigeng, 2011. "Khasminskii-type theorems for stochastic functional differential equations with infinite delay," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1690-1694, November.
    2. Wei Hu, 2018. "A New Stability Criterion for Neutral Stochastic Delay Differential Equations with Markovian Switching," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, October.
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