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dc.contributor.authorBelkhatir, Zehor
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2017-07-06T09:43:05Z
dc.date.available2017-07-06T09:43:05Z
dc.date.issued2017-06-28
dc.identifier.citationBelkhatir Z, Laleg-Kirati T-M (2017) Estimation of Multiple Point Sources for Linear Fractional Order Systems Using Modulating Functions. IEEE Control Systems Letters: 1–1. Available: http://dx.doi.org/10.1109/lcsys.2017.2720681.
dc.identifier.issn2475-1456
dc.identifier.doi10.1109/lcsys.2017.2720681
dc.identifier.urihttp://hdl.handle.net/10754/625162
dc.description.abstractThis paper proposes an estimation algorithm for the characterization of multiple point inputs for linear fractional order systems. First, using polynomial modulating functions method and a suitable change of variables the problem of estimating the locations and the amplitudes of a multi-pointwise input is decoupled into two algebraic systems of equations. The first system is nonlinear and solves for the time locations iteratively, whereas the second system is linear and solves for the input’s amplitudes. Second, closed form formulas for both the time location and the amplitude are provided in the particular case of single point input. Finally, numerical examples are given to illustrate the performance of the proposed technique in both noise-free and noisy cases. The joint estimation of pointwise input and fractional differentiation orders is also presented. Furthermore, a discussion on the performance of the proposed algorithm is provided.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttp://ieeexplore.ieee.org/document/7961182/
dc.rights(c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
dc.subjectLinear fractional order systems
dc.subjectpointwise input
dc.subjectestimation
dc.subjectmodulating functions method
dc.titleEstimation of Multiple Point Sources for Linear Fractional Order Systems Using Modulating Functions
dc.typeArticle
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalIEEE Control Systems Letters
dc.eprint.versionPost-print
kaust.personBelkhatir, Zehor
kaust.personLaleg-Kirati, Taous-Meriem
refterms.dateFOA2018-06-14T03:23:42Z
dc.date.published-online2017-06-28
dc.date.published-print2018-01


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