Overview
- 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
Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 320)
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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.
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Keywords
Table of contents (27 papers)
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Front Matter
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Invited Paper
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Front Matter
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Mathematical Fundamentals
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Front Matter
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Approximation, Modeling and Simulations
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Front Matter
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Controllability and Control
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Front Matter
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Editors and Affiliations
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
DOI: https://doi.org/10.1007/978-3-319-09900-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-09899-9Published: 27 August 2014
Softcover ISBN: 978-3-319-36047-8Published: 23 August 2016
eBook ISBN: 978-3-319-09900-2Published: 16 August 2014
Series ISSN: 1876-1100
Series E-ISSN: 1876-1119
Edition Number: 1
Number of Pages: XIV, 295
Number of Illustrations: 83 b/w illustrations
Topics: Control and Systems Theory, Complexity, Signal, Image and Speech Processing