On pth moment stabilization of hybrid systems by discrete-time feedback control

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Dong, Ran and Mao, Xuerong (2017) On pth moment stabilization of hybrid systems by discrete-time feedback control. Stochastic Analysis and Applications. ISSN 0736-2994 (https://doi.org/10.1080/07362994.2017.1324798)

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Abstract

Since Mao initiated the study of stabilization of continuous-time hybrid stochastic differential equations (SDEs) by feedback controls based on discrete-time state observations in 2013, many authors have further studied and developed it. However, so far no work on the pth moment stabilization has been reported. This paper is to investigate how to stabilize a given unstable hybrid SDE by feedback controls based on discrete-time state observations, in the sense of H∞, asymptotic and exponential stability in pth moment for all p > 1. The main techniques used are constructions of the Lyapunov functionals and generalizations of inequalities.

ORCID iDs

Dong, Ran ORCID logoORCID: https://orcid.org/0000-0002-2152-2567 and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:61095
    Dates:
    Date
    Event
    23 June 2017
    Published
    23 June 2017
    Published Online
    26 April 2017
    Accepted
    Notes:This is an Accepted Manuscript of an article published by Taylor & Francis in Stochastic Analysis and Applications on 23/06/2017, available online: http://www.tandfonline.com/doi/full/10.1080/07362994.2017.1324798
    Subjects:Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:26 Jun 2017 11:07
    Last modified:11 Nov 2024 11:44
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/61095
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