Partial differential equations and non-integer derivation

Author

Oustaloup, A. ; Ballouk, A. ; Bansard, B.

Author_Institution

Equipe CRONE, Bordeaux I Univ., Talence, France

fYear

1993

fDate

17-20 Oct 1993

Firstpage

166

Abstract

This paper deals with the link between some partial differential equations and the non-integer derivation. It shows how it is possible to substitute a model based on the non-integer derivation for a class of partial differential equations. It is a matter of the class which describes recursive distributed parameter systems, the lineic features of which are exponential functions of the space variable. From an input-output approach, the model obtained is an operational admittance of non integer order

Keywords

distributed parameter systems; identification; partial differential equations; poles and zeros; transfer functions; exponential functions; input-output approach; lineic features; non-integer derivation; parameter estimation; partial differential equations; pole distribution; recursive distributed parameter systems; space variable; zero distribution; Admittance; Context modeling; Cows; Differential equations; Distributed parameter systems; H infinity control; Parameter estimation; Partial differential equations; Poles and zeros; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on

Conference_Location

Le Touquet

Print_ISBN

0-7803-0911-1

Type

conf

DOI

10.1109/ICSMC.1993.384866

Filename

384866