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A New Stability Analysis of Uncertain Delay Differential Equations

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  • Xiao Wang
  • Yufu Ning

Abstract

This paper first provides a concept of almost sure stability for uncertain delay differential equations and analyzes this new sort of stability. In addition, this paper derives three sufficient conditions for uncertain delay differential equations being stable almost surely. Finally, the relationship between almost sure stability and stability in measure for uncertain delay differential equations is discussed.

Suggested Citation

  • Xiao Wang & Yufu Ning, 2019. "A New Stability Analysis of Uncertain Delay Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-8, January.
    • Handle: RePEc:hin:jnlmpe:1257386
    DOI: 10.1155/2019/1257386
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    Cited by:

    1. Gao, Yin & Gao, Jinwu & Yang, Xiangfeng, 2022. "The almost sure stability for uncertain delay differential equations based on normal lipschitz conditions," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    2. Fuyu Cai & Yuting Ding, 2023. "Hopf Bifurcation Analysis of a Class of Saperda populnea Infectious Disease Model with Delay," Mathematics, MDPI, vol. 11(20), pages 1-14, October.
    3. Gao, Yin & Gao, Jinwu & Yang, Xiangfeng, 2022. "Parameter estimation in uncertain delay differential equations via the method of moments," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    4. Gao, Yin & Jia, Lifen, 2021. "Stability in mean for uncertain delay differential equations based on new Lipschitz conditions," Applied Mathematics and Computation, Elsevier, vol. 399(C).

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