Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

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Jiang, Yanan and Hu, Liangjian and Lu, Jianqiu and Mao, Wei and Mao, Xuerong (2021) Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay. IET Control Theory and Applications, 15 (16). pp. 2039-2052. 2039-2052. ISSN 1751-8644 (https://doi.org/10.1049/cth2.12160)

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Abstract

This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. First, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.

ORCID iDs

Jiang, Yanan, Hu, Liangjian, Lu, Jianqiu, Mao, Wei and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:76117
    Dates:
    Date
    Event
    1 November 2021
    Published
    17 August 2021
    Published Online
    7 April 2021
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:15 Apr 2021 13:50
    Last modified:21 Dec 2024 01:23
    URI:https://strathprints.strath.ac.uk/id/eprint/76117
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