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

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

1467

Lastpage

1470

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, PI^λD^μ controllers, and modelling and simulation of fractional-order dynamical systems.

Keywords

differential equations; integration; matrix algebra; real-time systems; robust control; three-term control; PI^λD^μ 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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076125