Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay

    Access Status
    Fulltext not available
    Authors
    Wang, F.
    Chen, Diyi
    Zhang, Xinguang
    Wu, Yong Hong
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wang, F. and Chen, D. and Zhang, X. and Wu, Y.H. 2017. Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay. The International Journal of Systems Sciences. 48 (5): pp. 984-993.
    Source Title
    The International Journal of Systems Sciences
    DOI
    10.1080/00207721.2016.1226985
    ISSN
    0020-7721
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/51992
    Collection
    • Curtin Research Publications
    Abstract

    © 2016 Informa UK Limited, trading as Taylor & Francis Group.This paper investigates the finite-time stability problem of a class of nonlinear fractional-order system with the discrete time delay. Employing the Laplace transform, the Mittag-Leffler function and the generalised Gronwall inequality, the new criterions are derived to guarantee the finite-time stability of the system with the fractional-order 0 < a < 1. Further, we propose the sufficient conditions for ensuring the finite-time stability of the system with the fractional-order 1 < a < 2. Finally, based on the modified Adams–Bashforth–Moulton algorithm for solving fractional-order differential equations with the time delay, we carry out the numerical simulations to demonstrate the effectiveness of the proposed results, and calculate the estimated time of the finite-time stability.

    Related items

    Showing items related by title, author, creator and subject.

    • Feigenbaum's constants in reverse bifurcation of fractional-order Rössler system
      Li, Z.; Chen, D.; Ma, M.; Zhang, Xinguang; Wu, Yong Hong (2017)
      © 2017 Elsevier LtdThis paper demonstrates the existence of Feigenbaum's constants in reverse bifurcation for fractional-order Rössler system. First, the numerical algorithm of fractional-order Rössler system is presented. ...
    • A finite difference method for pricing European and American options under a geometric Lévy process
      Chen, W.; Wang, Song (2015)
      In this paper we develop a numerical approach to a fractional-order differential Linear Complementarity Problem (LCP) arising in pricing European and American options under a geometric Lévy process. The LCP is first ...
    • Improvement of the Control System Performance based on Fractional-Order PID Controllers and Models with Robustness Considerations
      Meneses, H.; Guevara, E.; Arrieta, O.; Padula, Fabrizio; Vilanova, R.; Visioli, A. (2018)
      © 2018 In this paper we assess the performance improvement achievable by using onedegree-of-freedom fractional-order proportional-integral-derivative controllers (FOPI/FOPID) instead of their integer-order counterparts ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.