Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay

Mei, Chunhui and Fei, Chen and Fei, Weiyin and Mao, Xuerong (2021) Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay. Nonlinear Analysis: Hybrid Systems, 40. 101026. ISSN 1751-570X (https://doi.org/10.1016/j.nahs.2021.101026)

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Abstract

Given an unstable hybrid stochastic functional differential equation, how to design a delay feedback controller to make it stable? Some results have been obtained for hybrid systems with finite delay. However, the state of many stochastic differential equations are related to the whole history of the system, so it is necessary to discuss the feedback control of stochastic functional differential equations with infinite delay. On the other hand, in many practical stochastic models, the coefficients of these systems do not satisfy the linear growth condition, but are highly nonlinear. In this paper, the delay feedback controls are designed for a class of infinite delay stochastic systems with highly nonlinear and the influence of switching state.

  • Item type:Article
    ID code:75632
    Dates:
    Date
    Event
    31 May 2021
    Published
    27 February 2021
    Published Online
    18 February 2021
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:03 Mar 2021 16:09
    Last modified:09 Apr 2024 02:12
    URI:https://strathprints.strath.ac.uk/id/eprint/75632
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