Lecture Notes in Electrical Engineering

Advances in the Theory and Applications of Non-integer Order Systems

5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland

Editors: Mitkowski, Wojciech, Kacprzyk, Janusz, Baranowski, Jerzy (Eds.)

  • 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 5th Conference on Non-integer Order Calculus and its Applications Cracow, Poland, July 2013
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About this book

This volume presents various aspects of non-integer order systems, also known as fractional systems, which have recently attracted an increasing attention in the scientific community of systems science, applied mathematics, control theory. Non-integer systems have become relevant for many fields of science and technology exemplified by the modeling of signal transmission, electric noise, dielectric polarization, heat transfer, electrochemical reactions, thermal processes,  acoustics, etc. The content is divided into six parts, every of which considers one of the currently relevant problems. In the first part the Realization problem is discussed, with a special focus on positive systems. The second part considers stability of certain classes of non-integer order systems with and without delays. The third part is focused on such important aspects as controllability, observability and optimization especially in discrete time. The fourth part is focused on distributed systems where non-integer calculus leads to new and interesting results. The next part considers problems of solutions and approximations of non-integer order equations and systems. The final and most extensive part is devoted to applications. Problems from mechatronics, biomedical engineering, robotics and others are all analyzed and solved with tools from fractional systems. This volume came to fruition thanks to high level of talks and interesting discussions at RRNR 2013 - 5th Conference on Non-integer Order Calculus and its Applications that took place at AGH University of Science and Technology in Kraków, Poland, which was organized by the Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering.

Table of contents (29 chapters)

  • Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems

    Kaczorek, Tadeusz

    Pages 3-14

  • Positive Stable Minimal Realization of Fractional Discrete-Time Linear Systems

    Sajewski, Łukasz

    Pages 15-27

  • Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders

    Busłowicz, Mikołaj

    Pages 31-39

  • Stability of Fractional Difference Systems with Two Orders

    Wyrwas, Małgorzata (et al.)

    Pages 41-52

  • Stability Conditions of Fractional Discrete-Time Scalar Systems with Two Delays

    Ruszewski, Andrzej

    Pages 53-64

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-319-00933-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-319-00932-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-319-03298-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Advances in the Theory and Applications of Non-integer Order Systems
Book Subtitle
5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland
Editors
  • Wojciech Mitkowski
  • Janusz Kacprzyk
  • Jerzy Baranowski
Series Title
Lecture Notes in Electrical Engineering
Series Volume
257
Copyright
2013
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00933-9
DOI
10.1007/978-3-319-00933-9
Hardcover ISBN
978-3-319-00932-2
Softcover ISBN
978-3-319-03298-6
Series ISSN
1876-1100
Edition Number
1
Number of Pages
XV, 325
Topics