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Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems

[+] Author Affiliations
Tom T. Hartley

University of Akron, Akron, OH

Carl F. Lorenzo

NASA Glenn Research Center, Cleveland, OH

Paper No. DETC2007-35843, pp. 1431-1437; 7 pages
doi:10.1115/DETC2007-35843
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

This paper reviews some properties of the gamma function, particularly the incomplete gamma function and its complement, as a function of the Laplace variable s. The utility of these functions in the solution of initialization problems in fractional-order system theory is demonstrated.

Copyright © 2007 by ASME
Topics: Gamma functions

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