Title :
Partial differential equations and non-integer derivation
Author :
Oustaloup, A. ; Ballouk, A. ; Bansard, B.
Author_Institution :
Equipe CRONE, Bordeaux I Univ., Talence, France
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;
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
DOI :
10.1109/ICSMC.1993.384866
