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Non-Integer Order Calculus and its Applications

9th International Conference on Non-Integer Order Calculus and Its Applications, Łódź, Poland

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Piotr Ostalczyk

    1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

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  2. Dominik Sankowski

    1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

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  3. Jacek Nowakowski

    1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

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  • Presents novel advances in both the theory and applications of non-integer order systems
  • Focuses mainly on control and electrical engineering, biomedical engineering, and systems theory
  • Includes outcomes of the 9th International Conference on Non-Integer Order Calculus and Its Applications, Lódz, Poland

Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 496)

Included in the following conference series:

Conference proceedings info: RRNR 2017.

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Table of contents (19 papers)

  1. Front Matter

    Pages i-x
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  2. Mathematical Foundations

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems

      • Tadeusz Kaczorek
      Pages 3-13

    3. Non-invasive Control of the Fractional Hegselmann–Krause Type Model

      • Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
      Pages 14-27

    4. Differintegarator Based on Fractional Calculus of Convex Functions

      • Radosław Cioć
      Pages 28-35

    5. The AQM Dropping Packet Probability Function Based on Non-integer Order \(PI^{\alpha }D^\beta \) Controller

      • Adam Domański, Joanna Domańska, Tadeusz Czachórski, Jerzy Klamka, Jakub Szyguła
      Pages 36-48

    6. New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense

      • Mehmet Yavuz, Necati Özdemir
      Pages 49-62

    7. Implementation of Low-Pass Fractional Filtering for the Purpose of Analysis of Electroencephalographic Signals

      • Aleksandra Kawala-Janik, Waldemar Bauer, Amir Al-Bakri, Chase Haddix, Rajamanickam Yuvaraj, Katarzyna Cichon et al.
      Pages 63-73

    8. Grünwald-Letnikov-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems

      • Krzysztof J. Latawiec, Rafał Stanisławski, Marian Łukaniszyn, Marek Rydel, Bogusław R. Szkuta
      Pages 74-83

    9. Stability Analysis of Fractional Discrete-Time Linear Scalar Systems with Pure Delay

      • Andrzej Ruszewski
      Pages 84-91

    10. Duality Properties of Variable-Type and -Order Differences

      • Wiktor Malesza, Dominik Sierociuk
      Pages 92-101

    11. A PLC Implementation of PSE Approximant for Fractional Order Operator

      • Krzysztof Oprzedkiewicz, Edyta Gawin, Wojciech Mitkowski
      Pages 102-112

    12. Memory-Effective Modifications of PSE Approximation

      • Krzysztof Oprzedkiewicz
      Pages 113-125

    13. Comparison Fixed-Point and Floating-Point Implementation of Noninteger Filter of STM Microcontroller

      • Waldemar Bauer, Wojciech Słowik
      Pages 126-134

    14. Fractional Derivative Approach in Modeling of a Nonlinear Coil for Ferroresonance Analyses

      • Łukasz Majka
      Pages 135-147

  4. Fractional Order System Analysis

    1. Front Matter

      Pages 181-181
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    2. Analysis of Fractional Electrical Circuit Using Caputo and Conformable Derivative Definitions

      • Ewa Piotrowska, Krzysztof Rogowski
      Pages 183-194
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  1. Non-Integer Order Calculus and its Applications

Keywords

About this book

This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, economical) as well as in multidisciplinary areas (e.g. biochemistry, electrochemistry).
As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results.
Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific results. 
The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications and is divided into three parts:
•         Mathematical foundations
•         Fractional systems analysis and synthesis•         System modeling
Seven papers discuss the mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional order differential and difference equations. It is a useful resource for fractional calculus scientific community.


Editors and Affiliations

  • Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski

Bibliographic Information

  • Book Title: Non-Integer Order Calculus and its Applications

  • Book Subtitle: 9th International Conference on Non-Integer Order Calculus and Its Applications, Łódź, Poland

  • Editors: Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski

  • Series Title: Lecture Notes in Electrical Engineering

  • DOI: https://doi.org/10.1007/978-3-319-78458-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2019

  • Hardcover ISBN: 978-3-319-78457-1Published: 23 March 2018

  • Softcover ISBN: 978-3-030-08702-9Published: 14 December 2018

  • eBook ISBN: 978-3-319-78458-8Published: 22 March 2018

  • Series ISSN: 1876-1100

  • Series E-ISSN: 1876-1119

  • Edition Number: 1

  • Number of Pages: X, 229

  • Topics: Complexity, Signal, Image and Speech Processing

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