Lecture Notes in Electrical Engineering

Advances in Modelling and Control of Non-integer-Order Systems

6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland

Editors: Latawiec, Krzysztof J., Łukaniszyn, Marian, Stanisławski, Rafał (Eds.)

  • Presents novel advances in both the theory and applications of non-integer order systems
  • The main focus is on electrical engineering and control, biomedical engineering, and systems theory
  • Results of the 6th Conference on Non-integer Order Calculus and its Applications Cracow, Poland, September 2014
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About this book

This volume presents selected aspects of non-integer, or fractional order systems, whose analysis, synthesis and applications have increasingly become a real challenge for various research communities, ranging from science to engineering. The spectrum of applications of the fractional order calculus has incredibly expanded, in fact it would be hard to find a science/engineering-related subject area where the fractional calculus had not been incorporated. The content of the fractional calculus is ranged from pure mathematics to engineering implementations and so is the content of this volume. The volume is subdivided into six parts, reflecting particular aspects of the fractional order calculus. The first part contains a single invited paper on a new formulation of fractional-order descriptor observers for fractional-order descriptor continous LTI systems. The second part provides new elements to the mathematical theory of fractional-order systems. In the third part of this volume, a bunch of new results in approximation, modeling and simulations of fractional-order systems is given. The fourth part presents new solutions to some problems in controllability and control of non-integer order systems, in particular fractional PID-like control. The fifth part analyzes the stability of non-integer order systems and some new results are offered in this important respect, in particular for discrete-time systems. The final, sixth part of this volume presents a spectrum of applications of the noninteger order calculus, ranging from bi-fractional filtering, in particular of electromyographic signals, through the thermal diffusion and advection diffusion processes to the SIEMENS platform implementation. This volume's papers were all subjected to stimulating comments and discussions from the active audience of the RRNR'2014, the 6th Conference on Non-integer Order Calculus and Its Applications that was organized by the Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland.

Table of contents (27 chapters)

  • Perfect Observers of Fractional Descriptor Continuous-Time Linear System

    Kaczorek, Tadeusz

    Pages 3-12

  • Viable Solutions to Fractional Difference and Differential Equations

    Girejko, Ewa (et al.)

    Pages 15-24

  • Regular Sturm-Liouville Problem with Riemann-Liouville Derivatives of Order in (1,2): Discrete Spectrum, Solutions and Applications

    Klimek, Malgorzata (et al.)

    Pages 25-36

  • Noether’s Second Theorem for Variable Order Fractional Variational Problems

    Malinowska, Agnieszka B. (et al.)

    Pages 37-46

  • Fractional Linear Equations with Discrete Operators of Positive Order

    Mozyrska, Dorota (et al.)

    Pages 47-58

Buy this book

eBook $199.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-3-319-09900-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-319-09899-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-319-36047-8
  • 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 Modelling and Control of Non-integer-Order Systems
Book Subtitle
6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland
Editors
  • Krzysztof J. Latawiec
  • Marian Łukaniszyn
  • Rafał Stanisławski
Series Title
Lecture Notes in Electrical Engineering
Series Volume
320
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-09900-2
DOI
10.1007/978-3-319-09900-2
Hardcover ISBN
978-3-319-09899-9
Softcover ISBN
978-3-319-36047-8
Series ISSN
1876-1100
Edition Number
1
Number of Pages
XIV, 295
Number of Illustrations and Tables
83 b/w illustrations
Topics