On exponential stability of hybrid neutral stochastic differential delay equations with different structures

Wu, A. and You, Surong and Mao, Wei and Mao, Xuerong and Hu, Liangjian (2020) On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Nonlinear Analysis: Hybrid Systems. ISSN 1751-570X (In Press)

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Abstract

This article discusses the problem of exponential stability for a class of hybrid neutral stochastic differential delay equations with highly nonlinear coeffcients and different structures in different switching modes. In such systems, the coeffcients will satisfy the local Lipschitz condition and suitable Khasminskii-types conditions. The set of switching states will be divided into two subsets. In different subsets, the coeffcients will be dominated by polynomials with different degrees. By virtue of M-matrices and suitable Lyapunov functions dependent on coeffcient structures and switching modes, some results including the existence-and-uniqueness, boundedness and exponential stability of the solution are proposed and proved

ORCID iDs

Wu, A., You, Surong, Mao, Wei, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Hu, Liangjian;
  • Item type:Article
    ID code:73876
    Dates:
    Date
    Event
    15 September 2020
    Published
    15 September 2020
    Accepted
    Keywords:M-matrix, exponential stability, hybrid neutral stochastic differential delay equation, Lyapunov function, Khasminskii-type condition, Mathematics, Analysis, Computer Science Applications
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:16 Sep 2020 14:55
    Last modified:10 Mar 2023 02:32
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/73876
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