Title :
Initialization in fractional order systems
Author :
Lorenzo, Carl F. ; Hartley, Tom T.
Author_Institution :
Nat. Aeronaut. & Space Adm., Cleveland, OH, USA
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;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
