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  • Conference proceedings
  • © 2017

Theory and Applications of Non-integer Order Systems

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

  • 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
  2. Mathematical Foundations

    1. Front Matter

      Pages 1-1
    2. On the Fractional Continuous-Time Hegselmann–Krause’s Type Consensus Model

      • Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
      Pages 21-32
    3. 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
    4. Variable-, Fractional-Order Oscillation Element

      • Dorota Mozyrska, Piotr Ostalczyk
      Pages 65-75
    5. Variable-, Fractional-Order Inertial Element

      • Piotr Ostalczyk, Dorota Mozyrska
      Pages 77-87
    6. On the Output-Additive Switching Strategy for a New Variable Type and Order Difference

      • Dominik Sierociuk, Wiktor Malesza, Michał Macias
      Pages 101-111
    7. 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
    2. Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate

      • Derya Avcı, Beyza Billur İskender Eroğlu, Necati Özdemir
      Pages 137-146
    3. Linear and Nonlinear Fractional Voigt Models

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

      • Radosław Cioć
      Pages 169-174
    5. Optimal Control for Discrete Fractional Systems

      • Andrzej Dzieliński
      Pages 175-185

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

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access