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dc.contributor.authorBelkhatir, Zehor
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2018-05-01T13:40:42Z
dc.date.available2017-05-31T12:32:00Z
dc.date.available2018-05-01T13:40:42Z
dc.date.issued2018-04-05
dc.identifier.doi10.1016/j.sysconle.2018.02.012
dc.identifier.urihttp://hdl.handle.net/10754/623960
dc.description.abstractThis paper proposes a two-stage estimation algorithm to solve the problem of joint estimation of the parameters and the fractional differentiation orders of a linear continuous-time fractional system with non-commensurate orders. The proposed algorithm combines the modulating functions and the first-order Newton methods. Sufficient conditions ensuring the convergence of the method are provided. An error analysis in the discrete case is performed. Moreover, the method is extended to the joint estimation of smooth unknown input and fractional differentiation orders. The performance of the proposed approach is illustrated with different numerical examples. Furthermore, a potential application of the algorithm is proposed which consists in the estimation of the differentiation orders of a fractional neurovascular model along with the neural activity considered as input for this model.
dc.language.isoen
dc.publisherElsevier BV
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleParameters and Fractional Differentiation Orders Estimation for Linear Continuous-Time Non-Commensurate Fractional Order Systems
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.eprint.versionPre-print
kaust.personBelkhatir, Zehor
kaust.personLaleg-Kirati, Taous-Meriem
refterms.dateFOA2018-06-14T08:31:36Z
dc.date.published-online2018-04-05
dc.date.published-print2018-05


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