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    Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system

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    Type
    Conference Paper
    Authors
    Belkhatir, Zehor cc
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Computational Bioscience Research Center (CBRC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2015-11-05
    Online Publication Date
    2015-11-05
    Print Publication Date
    2015-09
    Permanent link to this record
    http://hdl.handle.net/10754/621320
    
    Metadata
    Show full item record
    Abstract
    This paper deals with the joint estimation of the unknown input and the fractional differentiation orders of a linear fractional order system. A two-stage algorithm combining the modulating functions with a first-order Newton method is applied to solve this estimation problem. First, the modulating functions approach is used to estimate the unknown input for a given fractional differentiation orders. Then, the method is combined with a first-order Newton technique to identify the fractional orders jointly with the input. To show the efficiency of the proposed method, numerical examples illustrating the estimation of the neural activity, considered as input of a fractional model of the neurovascular coupling, along with the fractional differentiation orders are presented in both noise-free and noisy cases.
    Citation
    Belkhatir Z, Laleg-Kirati T-M (2015) Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system. 2015 IEEE Conference on Control Applications (CCA). Available: http://dx.doi.org/10.1109/CCA.2015.7320660.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2015 IEEE Conference on Control Applications (CCA)
    Conference/Event name
    IEEE Conference on Control and Applications, CCA 2015
    DOI
    10.1109/CCA.2015.7320660
    ae974a485f413a2113503eed53cd6c53
    10.1109/CCA.2015.7320660
    Scopus Count
    Collections
    Conference Papers; Electrical and Computer Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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