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Remarks on five equivalent forms of the fractional – order backward – difference
(2014)
In this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition formula and its Horner equivalent form one derives the Riemann-Liouville ...
High-accuracy numerical integration methods for fractional order derivatives and integrals computations
(2014)
In this paper the authors present highly accurate and remarkably efficient computational methods for fractional order derivatives and integrals applying Riemann-Liouville and Caputo formulae: the Gauss-Jacobi Quadrature ...
Materiały konferencyjne z III Konferencji Naukowo-Technicznej "Problemy Cieplne w Elektrotechnice i Elektrotechnologie"
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Publisher, 2015)
Tematyka obliczeń cieplnych zajmuje coraz więcej miejsca w publikacjach
z dziedziny elektrotechniki i staje się współcześnie nierozerwalnym elementem
problemów elektrotechnicznych.
III Konferencja Naukowo-Techniczna pod ...
Zarys rachunku różniczkowo-całkowego ułamkowych rzędów : teoria i zastosowania w automatyce
(Wydawnictwo Politechnika Łódzka, 2008)
This book is inspired by almost forty years' development in the Fractional Calculus and
its applications in diff erent areas of science. The main task of this book is to acquaint Polish
readers with a variety of applications ...
Wybrane zagadnienia rachunku wektorowego i macierzowego dla robotyków
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology. Press, 2008)
Książka przeznaczona jest dla czytelników zajmujących się robotyką,
gdzie do opisu matematycznego zagadnień wykorzystuje się między innymi
aparat matematyczny algebry liniowej. Ma on jednak swoją specyfikę. Stanowią
ją ...
Variable-, fractional-order digital filter - application
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2014)
[...] This chapter is organised as follows. First, in Section 2 fundamental definition
of the VFOBD is given. Next the VFO-DF fundamental structure is
proposed. In Section 3 two equivalent descriptions of the VFO-DF a ...
Variable-, fractional-order digital filter theoretical background
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2014)
In this chapter variable-, fractional-order digital filters are considered. Two
equivalent filter description methods are presented. Also the filter response
to any discrete-time signal is given due to both introduced ...
Variable-, fractional-order digital filter theoretical background
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2015)
Digital filtering is a subject of scientific investigations [1-3], [7,9], [11-13]
from over than 50 years. Many proposed algorithms for digital filtering has
already been recognized as a classic solutions. Here one can ...
Variable-, fractional-order digital filter - application
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2015)
[...] This chapter is organised as follows. First, in Section 2 fundamental definition
of the VFOBD is given. Next the VFO-DF fundamental structure is
proposed. In Section 3 two equivalent descriptions of the VFO-DF a ...
Variable-, fractional-order simple model of the robot arm
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2015)
It is well known that to synthesise a satisfactory control algorithm of a dynamical
system a ,,good" mathematical model should be evaluated [5]. Also
there is a trade off between the model accuracy and its complexity. ...