Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode

Song, Gongfei and Zheng, Bo-Chao and Luo, Qi and Mao, Xuerong (2016) Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode. Control Theory and Applications. ISSN 1751-8644 (https://doi.org/10.1049/iet-cta.2016.0635)

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Abstract

Mao [10] recently initiated the study of the mean-square exponential stabilisation of continuous-time hybrid stochastic differential equations (SDEs) by the feedback controls based on the discrete-time observations of the state. However, the feedback controls still depend on the continuous-time observations of the mode. Of course this is perfectly fine if the mode of the system is obvious (i.e. fully observable at no cost). However, it could often be the case where the mode is not obvious and it costs to identify the current mode of the system. To reduce the control cost, it is reasonable we identify the mode at the discrete times when we make observations for the state. Hence the feedback control should be designed based on the discrete-time observations of both state and mode. The aim of this paper is to show how to design such a feedback control to stabilise a given hybrid SDE.

ORCID iDs

Song, Gongfei, Zheng, Bo-Chao, Luo, Qi and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:58494
    Dates:
    Date
    Event
    1 November 2016
    Published
    1 November 2016
    Published Online
    29 October 2016
    Accepted
    Notes:This paper is a postprint of a paper submitted to and accepted for publication in IET Control Theory and Applications and is subject to Institution of Engineering and Technology Copyright. The copy of record is available at IET Digital Library.
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:07 Nov 2016 10:35
    Last modified:17 Nov 2024 23:57
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/58494
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