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Discrete fractional calculus : applications in control and image processing

Author: Piotr Ostalczyk
Publisher: Singapore : World Scientific Publishing, [2016] ©2016
Series: Series in computer vision, v. 4.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The main subject of the monograph is the fractional calculus in the discrete version. The volume is divided into three main parts. Part one contains a theoretical introduction to the classical and fractional-order discrete calculus where the fundamental role is played by the backward difference and sum. In the second part, selected applications of the discrete fractional calculus in the discrete system control  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ostalczyk, Piotr.
Discrete fractional calculus.
Singapore : World Scientific Publishing, [2016]
(OCoLC)933606833
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Piotr Ostalczyk
ISBN: 9789814725675 9814725676
OCLC Number: 931011250
Description: 1 online resource (xxxi, 361 pages)
Contents: Discrete-variable real functions --
The n-th order backward difference/sum of the discrete-variable function --
Fractional-order backward differ-sum --
The FOBD-S graphical interpretation --
The FOBD/S selected properties --
The FO dynamic system description --
Linear FO system analysis --
The linear FO discrete-time fundamental elements --
FO discrete-time system structures --
Fractioinal discrete-time PID controller --
FOS approximation problems --
Fractional potential --
FO image filtering and edge detection.
Series Title: Series in computer vision, v. 4.
Responsibility: Piotr Ostalczyk, [editor].

Abstract:

The main subject of the monograph is the fractional calculus in the discrete version.  Read more...

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