Stabilisation in distribution by delay feedback control for hybrid stochastic differential equations

Tools

You, Surong and Hu, Liangjian and Lu, Jianqiu and Mao, Xuerong (2021) Stabilisation in distribution by delay feedback control for hybrid stochastic differential equations. IEEE Transactions on Automatic Control. ISSN 0018-9286 (https://doi.org/10.1109/TAC.2021.3075177)

[thumbnail of You-etal-TAC-2021-Stabilisation-in-distribution-by-delay-feedback-control-for-hybrid-stochastic-differential-equations]
Preview
 Text. Filename: You_etal_TAC_2021_Stabilisation_in_distribution_by_delay_feedback_control_for_hybrid_stochastic_differential_equations.pdf
Accepted Author Manuscript
Download (257kB)| Preview

Abstract

This paper is concerned with the design of a feedback control based on past states in order to make a given unstable hybrid stochastic differential equation (SDE) to be stable in distribution (stabilisation in distribution). This is the first paper in this direction. Under the global Lipschitz condition on the coefficients of the given unstable hybrid SDE, we will show that the stabilisation in distribution can be achieved by linear delay feedback controls. In particular, we discuss how to design the feedback controls in two structure cases: state feedback and output injection.

ORCID iDs

You, Surong, Hu, Liangjian, Lu, Jianqiu and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:76155
    Dates:
    Date
    Event
    27 April 2021
    Published
    27 April 2021
    Published Online
    16 April 2021
    Accepted
    Notes:© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting /republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:19 Apr 2021 15:45
    Last modified:19 Dec 2024 02:26
    URI:https://strathprints.strath.ac.uk/id/eprint/76155
CORE (COnnecting REpositories)