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.

ORCID iDs

Mao, Wei, Chen, Bo, Wu, Fuke and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:86602
    Dates:
    Date
    Event
    31 August 2023
    Published
    12 July 2023
    Published Online
    23 June 2023
    Accepted
    Keywords:asymptotic stability, general decay stability, hybrid stochastic systems, neutral term, non-differentiable time delay, Mathematics, Mechanical Engineering, Electrical and Electronic Engineering, Control and Systems Engineering, Computer Science(all)
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:30 Aug 2023 15:02
    Last modified:31 Aug 2023 21:23
    URI:https://strathprints.strath.ac.uk/id/eprint/86602
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