On the existence and asymptotic stability of hybrid stochastic systems with neutral term and non-differentiable time delay

Mao, Wei and Chen, Bo and Wu, Fuke and Mao, Xuerong (2023) On the existence and asymptotic stability of hybrid stochastic systems with neutral term and non-differentiable time delay. Systems and Control Letters, 178. 105586. ISSN 0167-6911 (https://doi.org/10.1016/j.sysconle.2023.105586)

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Abstract

This paper focuses on a class of hybrid stochastic delay systems with neutral term (HSDSwNT), where the time delay may be non-differentiable and the coefficients may not satisfy the linear growth condition. Under the local Lipschitz condition and the Khasminskii-type condition, the existence and uniqueness as well as boundedness of the solution to the HSDSwNT are established. By virtue of the Lyapunov function method and the M-matrix theory, sufficient conditions on the asymptotic stability and general decay stability are also examined for HSDSwNT. Finally, two examples are given to show the effectiveness of our results.

  • Item type:Article
    ID code:86602
    Dates:
    Date
    Event
    31 August 2023
    Published
    12 July 2023
    Published Online
    23 June 2023
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:30 Aug 2023 15:02
    Last modified:09 Apr 2024 04:16
    URI:https://strathprints.strath.ac.uk/id/eprint/86602
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