Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

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Article ID: iaor20132721
Volume: 74
Issue: 4
Start Page Number: 543
End Page Number: 574
Publication Date: Apr 2013
Journal: Automation and Remote Control
Authors: , ,
Keywords: control, calculus of variations
Abstract:

The review is devoted to using the fractional integro‐differential calculus for description of the dynamics of various systems and control processes. Consideration was given to the basic notions of the fractional integro‐differential calculus and the problem of interpretation of the fractional operators. Presented were examples of physical systems described in terms of the apparatus under consideration.

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