DocumentCode
697252
Title
Initialization in fractional order systems
Author
Lorenzo, Carl F. ; Hartley, Tom T.
Author_Institution
Nat. Aeronaut. & Space Adm., Cleveland, OH, USA
fYear
2001
fDate
4-7 Sept. 2001
Firstpage
1471
Lastpage
1476
Abstract
This paper proves the requirement of a time-varying initialization for fractional differential equations. This then requires a new definition for the fractional differintegral that includes the initialization and a new form of the Laplace transform of the fractional differintegral. An initialized fractional system theory is developed.
Keywords
Laplace transforms; differential equations; time-varying systems; Laplace transform; fractional differential equations; fractional differintegral; fractional order systems; time-varying initialization; Differential equations; Equations; Europe; Fractional calculus; History; Laplace equations; Fractional Differential Equation; Initialized Fractional Calculus; Laplace transforms; R-Function;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2001 European
Conference_Location
Porto
Print_ISBN
978-3-9524173-6-2
Type
conf
Filename
7076126
Link To Document