Improved delay-dependent stability of superlinear hybrid stochastic systems with general time-varying delays

Xu, Henglei and Mao, Xuerong (2023) Improved delay-dependent stability of superlinear hybrid stochastic systems with general time-varying delays. Nonlinear Analysis: Hybrid Systems, 50. 101413. ISSN 1751-570X (https://doi.org/10.1016/j.nahs.2023.101413)

[thumbnail of Xu-Mao-NAHS-2023-Improved-delay-dependent-stability-of-uperlinear-hybrid]
Preview
 Text. Filename: Xu_Mao_NAHS_2023_Improved_delay_dependent_stability_of_uperlinear_hybrid.pdf
Final Published Version
License: Creative Commons Attribution 4.0 logo
Download (796kB)| Preview

Abstract

In the recent paper (Fei et al., 2019), the study of delay-dependent stability of hybrid stochastic differential delay equations (SDDEs) was generalized to superlinear ones (namely, do not satisfy the usual linear growth condition). However, the theory developed there could not be applied to hybrid SDDEs with non-differentiable time delays, or whose drift coefficients miss the key decomposition in (Fei et al., 2019) (see Assumption 1 below). This paper therefore is to deal with these two challenging problems so that the delay-dependent stability criteria derived in (Fei et al., 2019) could be improved. The decomposition scheme is modified in order to include more general hybrid SDDEs. The differentiability assumption on time-varying delays is replaced by a relatively weaker one. Also the Lyapunov functional used in this paper is modulated to adapt to these new changes. Finally, two interesting examples, an application to mosquito model, and design of nonlinear delay feedback control, respectively, are given to demonstrate the effectiveness of our new theory.

ORCID iDs

Xu, Henglei and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:86447
    Dates:
    Date
    Event
    30 November 2023
    Published
    22 August 2023
    Published Online
    4 August 2023
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:11 Aug 2023 09:13
    Last modified:11 Nov 2024 14:02
    URI:https://strathprints.strath.ac.uk/id/eprint/86447
CORE (COnnecting REpositories)