Delay feedback control for switching diffusion systems based on discrete-time observations

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Li, Xiaoyue and Mao, Xuerong and Mukama, Denis S. and Yuan, Chenggui (2020) Delay feedback control for switching diffusion systems based on discrete-time observations. SIAM Journal on Control and Optimization, 58 (5). 2900–2926. ISSN 0363-0129 (https://doi.org/10.1137/20M1312356)

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Abstract

For the sake of saving time and costs the feedback control based on discrete-time observations is used to stabilize the switching diffusion systems. Response lags are required by most physical systems and play a key role in the feedback control. The aim of this paper is to design delay feedback control functions based on the discrete-time observations of the system states and the Markovian states in order for the controlled switching diffusion system (SDS) to be exponentially stable in the pth moment with probability one as well as stable in H∞. The designed control principles are implementable to stablize quasi-linear and highly nonlinear SDSs. For quasi-linear SDSs the criteria are sharp that under the control with high strength the controlled SDSs will be stable (bounded) while under the weaker control they will be unstable (unbounded) in the mean square. The sample and moment Lyapunov exponents are estimated which have a close relationship to the time delays.

ORCID iDs

Li, Xiaoyue, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864, Mukama, Denis S. and Yuan, Chenggui;
  • Item type:Article
    ID code:73823
    Dates:
    Date
    Event
    17 September 2020
    Published
    17 September 2020
    Published Online
    16 July 2020
    Accepted
    Notes:© 2020, Society for Industrial and Applied Mathematics
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:15 Sep 2020 09:59
    Last modified:16 Dec 2024 21:54
    URI:https://strathprints.strath.ac.uk/id/eprint/73823
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