Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations

Lu, Jianqiu and Li, Yuyuan and Mao, Xuerong and Pan, Jiafeng (2022) Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations. Applicable Analysis, 101 (3). pp. 1077-1100. ISSN 0003-6811 (https://doi.org/10.1080/00036811.2020.1769077)

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Abstract

This paper is concerned with the stabilization problem for nonlinear stochastic delay systems with Markovian switching by feedback control based on discrete-time state and mode observations. By constructing an efficient Lyapunov functionals, we establish the sufficient stabilization criteria not only in the sense of exponential stability (both the mean-square stability and the almost sure stability) but also in other sense – that of H∞ stability and asymptotic stability. Meanwhile, the upper bound on the duration τ between two consecutive state and mode observations is obtained. Numerical examples are provided to demonstrate the effectiveness of our theoretical results.

  • Item type:Article
    ID code:79977
    Dates:
    Date
    Event
    11 February 2022
    Published
    21 May 2020
    Published Online
    9 May 2020
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:28 Mar 2022 13:04
    Last modified:09 Apr 2024 03:08
    URI:https://strathprints.strath.ac.uk/id/eprint/79977
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