Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays

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Shen, Mingxuan and Fei, Chen and Fei, Weiyin and Mao, Xuerong (2019) Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays. Science in China Series F - Information Sciences, 62. 202205. ISSN 1009-2757 (https://doi.org/10.1007/s11432-018-9755-7)

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Abstract

This paper reports the boundedness and stability of highly nonlinear hybrid neutral stochastic differential delay equations (NSDDEs) with multiple delays. Without imposing linear growth condition, the boundedness and exponential stability of the exact solution are investigated by Lyapunov functional method. In particular, using the M-matrix technique, the mean square exponential stability is obtained. Finally, three examples are presented to verify our results.

ORCID iDs

Shen, Mingxuan, Fei, Chen, Fei, Weiyin and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:66659
    Dates:
    Date
    Event
    16 August 2019
    Published
    14 January 2019
    Accepted
    8 November 2018
    Submitted
    Notes:© 2019 Springer Nature Shen, M., Fei, C., Fei, W. et al. Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays. Sci. China Inf. Sci. 62, 202205 (2019). https://doi.org/10.1007/s11432-018-9755-7
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:21 Jan 2019 14:49
    Last modified:29 Nov 2024 01:13
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/66659
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