
Fractional-Order Design
Devices, Circuits, and Systems
- 1st Edition - October 22, 2021
- Imprint: Academic Press
- Editors: Ahmed G. Radwan, Farooq Ahmad Khanday, Lobna A. Said
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 0 0 9 0 - 4
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 0 2 0 4 - 5
Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these app… Read more

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Request a sales quoteFractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications. The book also includes the different techniques employed to comprehensively and straightforwardly design fractional-order systems/devices. Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems.
Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource.
- Presents a simple and comprehensive understanding of the field of fractional-order systems
- Offers practical knowledge on the design of fractional-order systems for different applications
- Exposes users to the possible new areas of applications of fractional-order systems
- Cover image
- Title page
- Table of Contents
- Copyright
- List of contributors
- Chapter One: MOS realizations of fractional-order elements
- Abstract
- Acknowledgement
- 1.1. Introduction
- 1.2. CPE/FI emulation techniques
- 1.3. Practical aspects
- 1.4. Conclusions and discussion
- References
- Chapter Two: A chaotic system with equilibria located on a line and its fractional-order form
- Abstract
- 2.1. Introduction
- 2.2. Model of the proposed flow and its dynamics
- 2.3. Fractional-order form
- 2.4. Circuit implementation
- 2.5. FPGA implementation of the chaotic system
- 2.6. Conclusion
- References
- Chapter Three: Approximation of fractional-order elements for sinusoidal oscillators
- Abstract
- 3.1. Introduction
- 3.2. R-C network-based FDs
- 3.3. FDs for sinusoidal oscillators
- 3.4. Performance analysis
- 3.5. Conclusion and scope of future research
- References
- Chapter Four: Synchronization between fractional chaotic maps with different dimensions
- Abstract
- Acknowledgements
- 4.1. Introduction
- 4.2. Preliminaries
- 4.3. Combined synchronization of 2D fractional maps
- 4.4. Combined synchronization of 3D fractional maps
- 4.5. Concluding remarks and future works
- References
- Chapter Five: Stabilization of different dimensional fractional chaotic maps
- Abstract
- Acknowledgements
- 5.1. Introduction
- 5.2. Basic tools
- 5.3. Stabilization of 2D fractional maps
- 5.4. Stabilization of 3D fractional maps
- 5.5. Summary and future works
- References
- Chapter Six: Observability of speed DC motor with self-tuning fuzzy-fractional-order controller
- Abstract
- 6.1. Introduction
- 6.2. Mathematical model of DC motor
- 6.3. Stability of speed estimation
- 6.4. Proposed speed controller
- 6.5. Results and discussion
- 6.6. Conclusions
- References
- Chapter Seven: Chaos control and fractional inverse matrix projective difference synchronization on parallel chaotic systems with application
- Abstract
- 7.1. Introduction
- 7.2. Preliminaries
- 7.3. The fractional inverse matrix projective difference synchronization
- 7.4. Illustration in secure communication
- 7.5. Conclusions
- References
- Chapter Eight: Aggregation of chaotic signal with proportional fractional derivative execution in communication and circuit simulation
- Abstract
- 8.1. Introduction
- 8.2. Fractional-order chaotic systems and their properties
- 8.3. Analog circuit imitation
- 8.4. Security analysis
- 8.5. Conclusion
- References
- Chapter Nine: CNT-based fractors in all four quadrants: design, simulation, and practical applications
- Abstract
- Acknowledgements
- 9.1. Introduction
- 9.2. Fractor: definitions and state-of-the-art
- 9.3. A wide-CPZ, long-life, packaged CNT fractor
- 9.4. Fractors with desired specifications
- 9.5. Four-quadrant FO immittances using CNT fractors
- 9.6. Application of four-quadrant CNT fractors
- 9.7. Conclusion
- Appendix 9.A. MATLAB program to determine RC ladder parameters for five FO specifications
- References
- Chapter Ten: Fractional-order systems in biological applications: estimating causal relations in a system with inner connectivity using fractional moments
- Abstract
- 10.1. Introduction
- 10.2. Related work
- 10.3. Fractional moments and fractional cumulants
- 10.4. Hindmarsh–Rose model
- 10.5. Estimating causal relations
- 10.6. Causal direction pattern recognition
- 10.7. Discussion
- 10.8. Conclusion
- References
- Chapter Eleven: Unitary fractional-order derivative operators for quantum computation
- Abstract
- 11.1. Introduction
- 11.2. A brief survey on geometric phase concepts in quantum computation
- 11.3. Methodology
- 11.4. Some quantum computation implications for unitary fractional-order derivative operators
- 11.5. Discussion and conclusions
- Appendix 11.A.
- References
- Chapter Twelve: Analysis and realization of fractional step filters of order (1+α)
- Abstract
- 12.1. Introduction
- 12.2. Analysis of fractional step filters
- 12.3. Numerical analysis and simulations of FSFs of order (1+α)
- 12.4. Stability
- 12.5. Sensitivity analysis
- 12.6. Conclusion
- References
- Chapter Thirteen: Fractional-order identification and synthesis of equivalent circuit for electrochemical system based on pulse voltammetry
- Abstract
- 13.1. Introduction
- 13.2. Experimental setup
- 13.3. Fractional-order models
- 13.4. Identification of fractional-order transfer function
- 13.5. Proposed circuit with fractional-order elements
- 13.6. Principal component analysis: towards electronic tongue application
- 13.7. Conclusions
- References
- Chapter Fourteen: Higher-order fractional elements: realizations and applications
- Abstract
- 14.1. Introduction
- 14.2. Realization of FOEs with fractional order <1
- 14.3. Realization of fractional-order element with 1<fractional order<n
- 14.4. Application
- 14.5. Conclusion
- References
- Chapter Fifteen: Fabrication of polymer nanocomposite-based fractional-order capacitor: a guide
- Abstract
- Acknowledgements
- 15.1. Introduction
- 15.2. Polymers
- 15.3. Ferroelectric polymers
- 15.4. Conductive fillers
- 15.5. Methods of synthesis
- 15.6. Percolation threshold
- 15.7. Factors affecting properties of polymer NCs
- 15.8. A GNS/PVDF FOC
- 15.9. Conclusion
- References
- Chapter Sixteen: Design guidelines for fabrication of MWCNT-polymer based solid-state fractional capacitor
- Abstract
- Acknowledgements
- 16.1. Introduction
- 16.2. Solid-state fractional capacitors
- 16.3. Batch analysis of the solid-state fractional capacitors for defining the guidelines
- 16.4. Validation of the defined guidelines
- 16.5. Material characterization
- 16.6. Correlating the material characterization with the CPA of a solid-state fractional capacitor
- 16.7. Conclusion
- References
- Index
- Edition: 1
- Published: October 22, 2021
- Imprint: Academic Press
- No. of pages: 548
- Language: English
- Paperback ISBN: 9780323900904
- eBook ISBN: 9780323902045
AR
Ahmed G. Radwan
FK
Farooq Ahmad Khanday
LS