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.

ORCID iDs

Lu, Jianqiu, Li, Yuyuan, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Pan, Jiafeng ORCID logoORCID: https://orcid.org/0000-0001-5993-3209;
  • 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:16 Nov 2024 01:21
    URI:https://strathprints.strath.ac.uk/id/eprint/79977
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