Fractional-order Design: Devices, Circuits, And Systems 1st edition by Ahmed G. Radwan – Ebook PDF Instant Download/DeliveryISBN: 0323902049, 9780323902045
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ISBN-10 : 0323902049
ISBN-13 : 9780323902045
Author: Ahmed Radwan
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 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.
Fractional-order Design: Devices, Circuits, And Systems 1st Table of contents:
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 114.4. 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
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