Title :
Isoclinal matrices and numerical solution of fractional differential equations
Author :
Podlubny, I. ; Kacenak, M.
Author_Institution :
Dept. of Inf. & Control Eng., Tech. Univ. of Kosice, Kosice, Slovakia
Abstract :
A matrix form representation of discrete analogs of various forms of fractional differentiation and fractional integration is suggested. The suggested approach is new, and it can be used in all fields related to fractional-order dynamical systems and fractional-order control, including development of algorithms and software for real-time control, PIλDμ controllers, and modelling and simulation of fractional-order dynamical systems.
Keywords :
differential equations; integration; matrix algebra; real-time systems; robust control; three-term control; PIλDμ controller; discrete analogs; fractional differential equation; fractional differentiation; fractional integration; fractional-order control; fractional-order dynamical system; isoclinal matrix; matrix form representation; numerical solution; real-time control; Approximation methods; Differential equations; Equations; Europe; Integral equations; Real-time systems; Strips; Algorithms and software for real-time control; Emerging control technologies; PID control; Robust control; Signal and systems;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
