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Initialization Energy in Fractional-Order Systems

[+] Author Affiliations
Tom T. Hartley

University of Akron, Akron, OH

Jean-Claude Trigeassou

University of Bordeaux 1, Talence, France

Carl F. Lorenzo

NASA Glenn Research Center, Cleveland, OH

Nezha Maamri

LIAS ENSIP University of Poitiers, Poitiers, France

Paper No. DETC2015-46290, pp. V009T07A023; 7 pages
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5719-9
  • Copyright © 2015 by ASME


This paper seeks a deeper understanding of the need for time-varying initialization of fractional-order systems. Specifically, the paper determines the energy stored in a fractional-order element based on the history of the element, and shows how this initialization energy is manifest into the future as an initialization function. Further, it is shown that infinite energy is required to initialize a fractional-order system when using the Caputo derivative Laplace transform.

Copyright © 2015 by ASME



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