Stabilization in distribution of hybrid stochastic systems by intermittent feedback controls

Jiang, Yanan and Hu, Liangjian and Mao, Wei and Lu, Jianqiu and Mao, Xuerong (2023) Stabilization in distribution of hybrid stochastic systems by intermittent feedback controls. Nonlinear Analysis: Hybrid Systems, 49. 101374. ISSN 1751-570X (https://doi.org/10.1016/j.nahs.2023.101374)

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Abstract

In this paper, stabilization in distribution of hybrid stochastic differential equations (HSDEs) via periodically intermittent feedback controls is investigated. It is revealed that probability distributions of the solution will converge to a stationary distribution is revealed. Firstly, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for stabilization in distribution of HSDEs. Then, we prove the existence and uniqueness of invariant probability distribution, the lower bound of the intermittent parameter δ ∗ is obtained. Three numerical examples are discussed to support our results of theoretical analysis.

ORCID iDs

Jiang, Yanan, Hu, Liangjian, Mao, Wei, Lu, Jianqiu and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:85573
    Dates:
    Date
    Event
    1 August 2023
    Published
    19 May 2023
    Published Online
    22 April 2023
    Accepted
    11 May 2022
    Submitted
    Keywords:hybrid stochastic differential equations (HSDEs), Analysis, Analysis
    Subjects:Science > Mathematics > Analysis
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:22 May 2023 10:59
    Last modified:01 Aug 2023 03:01
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/85573
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