Overview
- Presents novel advances in both the theory and applications of non-integer order systems
- Focuses mainly on control and electrical engineering, biomedical engineering, and systems theory
- Includes outcomes of the 9th International Conference on Non-Integer Order Calculus and Its Applications, Lódz, Poland
Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 496)
Included in the following conference series:
Conference proceedings info: RRNR 2017.
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Table of contents (19 papers)
-
Mathematical Foundations
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Fractional Order System Analysis
Other volumes
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Non-Integer Order Calculus and its Applications
Keywords
- Electrical Engineering
- Non-Integer Systems
- Fractional Systems
- Non-Integer Order Calculus
- Non-Integer Order Systems
- Fractional Difference
- Fractional Deńvative
- Caputo Derivative
- Grunwald-Letnikov Derivative
- Riemann-Liouville Derivative
- Fractional Calculus
- Discrete Fractional Calculus
- Fractional Order Transfer Function
- Fractional Order Regulators
- Characteristic Exponents
- Fractional Positive Systems
- Controllability
- Controllability
- Stability
- complexity
About this book
As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results.
Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific results.
The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications and is divided into three parts:
• Mathematical foundations
• Fractional systems analysis and synthesis• System modeling
Seven papers discuss the mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional order differential and difference equations. It is a useful resource for fractional calculus scientific community.
Editors and Affiliations
Bibliographic Information
Book Title: Non-Integer Order Calculus and its Applications
Book Subtitle: 9th International Conference on Non-Integer Order Calculus and Its Applications, Łódź, Poland
Editors: Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski
Series Title: Lecture Notes in Electrical Engineering
DOI: https://doi.org/10.1007/978-3-319-78458-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Hardcover ISBN: 978-3-319-78457-1Published: 23 March 2018
Softcover ISBN: 978-3-030-08702-9Published: 14 December 2018
eBook ISBN: 978-3-319-78458-8Published: 22 March 2018
Series ISSN: 1876-1100
Series E-ISSN: 1876-1119
Edition Number: 1
Number of Pages: X, 229