Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations

Shen, Mingxuan and Fei, Chen and Fei, Weiyin and Mao, Xuerong and Mei, Chunhui (2022) Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations. International Journal of Robust and Nonlinear Control, 32 (18). pp. 9957-9976. ISSN 1049-8923 (https://doi.org/10.1002/rnc.6384)

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Abstract

This article focuses on the delay-dependent stability of highly nonlinear hybrid neutral stochastic functional differential equations (NSFDEs). The delay dependent stability criteria for a class of highly nonlinear hybrid NSFDEs are derived via the Lyapunov functional. The stabilities discussed in this article include (Formula presented.) stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.

ORCID iDs

Shen, Mingxuan, Fei, Chen, Fei, Weiyin, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Mei, Chunhui;
  • Item type:Article
    ID code:82454
    Dates:
    Date
    Event
    31 December 2022
    Published
    2 October 2022
    Published Online
    10 August 2022
    Accepted
    Keywords:delay-dependent stability, neutral stochastic systems, highly nonlinear, Markov switching, exponential stability, Mathematics, Biomedical Engineering, Chemical Engineering(all), Mechanical Engineering, Industrial and Manufacturing Engineering, Control and Systems Engineering, Electrical and Electronic Engineering, Aerospace Engineering
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:23 Sep 2022 01:35
    Last modified:16 Mar 2023 02:34
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/82454
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