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    On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters

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    Type
    Article
    Authors
    Ndoye, Ibrahima cc
    Darouach, Mohamed
    Voos, Holger
    Zasadzinski, Michel
    KAUST Department
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Date
    2016
    Permanent link to this record
    http://hdl.handle.net/10754/670036
    
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    Abstract
    This paper presents the robust stabilization problem of linear and non-linear fractional-order systems with non-linear uncertain parameters. The uncertainty in the model appears in the form of the combination of 'additive perturbation' and 'multiplicative perturbation'. Sufficient conditions for the robust asymptotical stabilization of linear fractional-order systems are presented in terms of linear matrix inequalities (LMIs) with the fractional-order 0 < α < 1. Sufficient conditions for the robust asymptotical stabilization of non-linear fractional-order systems are then derived using a generalization of the Gronwall-Bellman approach. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.
    Citation
    N’Doye, I., Darouach, M., Voos, H., & Zasadzinski, M. (2015). On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters. IMA Journal of Mathematical Control and Information, 33(4), 997–1014. doi:10.1093/imamci/dnv022
    Publisher
    Oxford University Press (OUP)
    Journal
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
    DOI
    10.1093/imamci/dnv022
    Additional Links
    https://academic.oup.com/imamci/article-lookup/doi/10.1093/imamci/dnv022
    ae974a485f413a2113503eed53cd6c53
    10.1093/imamci/dnv022
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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