Parameters and fractional differentiation orders estimation for linear continuous-time non-commensurate fractional order systems

DOI10.1016/j.sysconle.2018.02.012zbMath1390.93230OpenAlexW2730812033WikidataQ57574773 ScholiaQ57574773MaRDI QIDQ1647803

Zehor Belkhatir, Taous Meriem Laleg-Kirati

Publication date: 27 June 2018

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10754/623960.1

zbMATH Keywords

modulating functions methodlinear fractional order systemsnon-commensurate ordersparameters and fractional differentiation orders estimation

Mathematics Subject Classification ID

Neural biology (92C20) System identification (93B30) Linear systems in control theory (93C05) Fractional ordinary differential equations (34A08)

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Cites Work

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• Generalization of the modulating functions method into the fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• High-order sliding mode observer for fractional commensurate linear systems with unknown input
• Parameter and differentiation order estimation in fractional models
• Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation
• Modulating Functions Based Algorithm for the Estimation of the Coefficients and Differentiation Order for a Space-Fractional Advection-Dispersion Equation
• Nonasymptotic Pseudo-State Estimation for a Class of Fractional Order Linear Systems

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