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Theory and Applications of Non-integer Order Systems

8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Artur Babiarz

    1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

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  2. Adam Czornik

    1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

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  3. Jerzy Klamka

    1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

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  4. Michał Niezabitowski

    1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

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  • Presents novel advances in both the theory and applications of non-integer order systems
  • The main focus is on control and electrical engineering, biomedical engineering, and systems theory
  • Results of the 8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland, September 2016
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 407)

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Table of contents (44 papers)

  1. Front Matter

    Pages i-xii
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  2. Mathematical Foundations

    1. Front Matter

      Pages 1-1
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    2. Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type

      • Natarajan Annapoorani
      Pages 3-10

    3. Quadrature Based Approximations of Non-integer Order Integrator on Finite Integration Interval

      • Jerzy Baranowski
      Pages 11-20

    4. On the Fractional Continuous-Time Hegselmann–Krause’s Type Consensus Model

      • Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
      Pages 21-32

    5. Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers

      • Edyta Hetmaniok, Piotr Lorenc, Mariusz Pleszczyński, Michał Różański, Marcin Szweda, Roman Wituła
      Pages 33-44

    6. Cayley–Hamilton Theorem for Fractional Linear Systems

      • Tadeusz Kaczorek
      Pages 45-55

    7. Order Composition Properties for Output-Additive Variable-Order Derivative

      • Michał Macias
      Pages 57-64

    8. Variable-, Fractional-Order Oscillation Element

      • Dorota Mozyrska, Piotr Ostalczyk
      Pages 65-75

    9. Variable-, Fractional-Order Inertial Element

      • Piotr Ostalczyk, Dorota Mozyrska
      Pages 77-87

    10. Remarks on Mittag-Leffler Discrete Function and Putzer Algorithm for Fractional h-Difference Linear Equations

      • Ewa Pawłuszewicz
      Pages 89-99

    11. On the Output-Additive Switching Strategy for a New Variable Type and Order Difference

      • Dominik Sierociuk, Wiktor Malesza, Michał Macias
      Pages 101-111

    12. Large Deviations for Stochastic Fractional Differential Equations

      • Murugan Suvinthra
      Pages 113-121

    13. Mean Square Stability of Discrete-Time Fractional Order Systems With Multiplicative Noise

      • Viorica Mariela Ungureanu, Mădălina Roxana Buneci
      Pages 123-133

  3. Modeling and Control

    1. Front Matter

      Pages 135-135
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    2. Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate

      • Derya Avcı, Beyza Billur İskender Eroğlu, Necati Özdemir
      Pages 137-146

    3. Reconstruction Robin Boundary Condition in the Heat Conduction Inverse Problem of Fractional Order

      • Rafał Brociek, Damian Słota, Adam Zielonka
      Pages 147-156

    4. Linear and Nonlinear Fractional Voigt Models

      • Amar Chidouh, Assia Guezane-Lakoud, Rachid Bebbouchi, Amor Bouaricha, Delfim F. M. Torres
      Pages 157-167

    5. Digital Fractional Integrator

      • Radosław Cioć
      Pages 169-174

    6. Optimal Control for Discrete Fractional Systems

      • Andrzej Dzieliński
      Pages 175-185
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Keywords

About this book

This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars.

The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.

Editors and Affiliations

  • Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski

Bibliographic Information

  • Book Title: Theory and Applications of Non-integer Order Systems

  • Book Subtitle: 8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland

  • Editors: Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski

  • Series Title: Lecture Notes in Electrical Engineering

  • DOI: https://doi.org/10.1007/978-3-319-45474-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-45473-3Published: 28 August 2016

  • Softcover ISBN: 978-3-319-83302-6Published: 22 April 2018

  • eBook ISBN: 978-3-319-45474-0Published: 15 September 2016

  • Series ISSN: 1876-1100

  • Series E-ISSN: 1876-1119

  • Edition Number: 1

  • Number of Pages: XII, 512

  • Number of Illustrations: 42 b/w illustrations, 99 illustrations in colour

  • Topics: Control and Systems Theory, Complexity

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