Multivariable fractional system approximation with initial conditions using integral state space representation

DOI10.1016/j.camwa.2009.08.024zbMath1189.93032OpenAlexW2032579497MaRDI QIDQ980179

Mansouri Rachid, Djennoune Said, Bettayeb Maamar

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.08.024

zbMATH Keywords

integral representationinitial conditionsstate space representationfractional system approximationfractional multivariable system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Realizations from input-output data (93B15) Fractional ordinary differential equations (34A08)

Related Items

System identification of MISO fractional systems: parameter and differentiation order estimation, Time-domain simulation of MIMO fractional systems, Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation, Numerical calculation of the left and right fractional derivatives, Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation, Comparison between two approximation methods of state space fractional systems, Observable state space realizations for multivariable systems, Numerical analysis of the initial conditions in fractional systems, Output error MISO system identification using fractional models

Uses Software

• CRONE

Cites Work

• A method for modelling and simulation of fractional systems
• Fractals and fractional calculus in continuum mechanics
• State-space representation for fractional order controllers
• Discretization schemes for fractional-order differentiators and integrators
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