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.
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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. List of contributors - p. xi 7. Chapter One. MOS realizations of fractional-order elements - p. 1 8. Chapter Two. A chaotic system with equilibria located on a line and its fractional-order form - p. 35 9. Chapter Three. Approximation of fractional-order elements for sinusoidal oscillators - p. 63 10. Chapter Four. Synchronization between fractional chaotic maps with different dimensions - p. 89 11. Chapter Five. Stabilization of different dimensional fractional chaotic maps - p. 123 12. Chapter Six. Observability of speed DC motor with self-tuning fuzzy-fractional-order controller - p. 157 13. Chapter Seven. Chaos control and fractional inverse matrix projective difference synchronization on parallel chaotic systems with application - p. 181 14. Chapter Eight. Aggregation of chaotic signal with proportional fractional derivative execution in communication and circuit simulation - p. 207 15. Chapter Nine. CNT-based fractors in all four quadrants: design, simulation, and practical applications - p. 235 16. Chapter Ten. Fractional-order systems in biological applications: estimating causal relations in a system with inner connectivity using fractional moments - p. 275 17. Chapter Eleven. Unitary fractional-order derivative operators for quantum computation - p. 301 18. Chapter Twelve. Analysis and realization of fractional step filters of order (1+α1+α) - p. 337 19. Chapter Thirteen. Fractional-order identification and synthesis of equivalent circuit for electrochemical system based on pulse voltammetry - p. 373 20. Chapter Fourteen. Higher-order fractional elements: realizations and applications - p. 403 21. Chapter Fifteen. Fabrication of polymer nanocomposite-based fractional-order capacitor: a guide - p. 437 22. Chapter Sixteen. Design guidelines for fabrication of MWCNT-polymer based solid-state fractional capacitor - p. 485 23. Index - p. 523
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.
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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. List of contributors - p. xi 7. Chapter One. MOS realizations of fractional-order elements - p. 1 8. Chapter Two. A chaotic system with equilibria located on a line and its fractional-order form - p. 35 9. Chapter Three. Approximation of fractional-order elements for sinusoidal oscillators - p. 63 10. Chapter Four. Synchronization between fractional chaotic maps with different dimensions - p. 89 11. Chapter Five. Stabilization of different dimensional fractional chaotic maps - p. 123 12. Chapter Six. Observability of speed DC motor with self-tuning fuzzy-fractional-order controller - p. 157 13. Chapter Seven. Chaos control and fractional inverse matrix projective difference synchronization on parallel chaotic systems with application - p. 181 14. Chapter Eight. Aggregation of chaotic signal with proportional fractional derivative execution in communication and circuit simulation - p. 207 15. Chapter Nine. CNT-based fractors in all four quadrants: design, simulation, and practical applications - p. 235 16. Chapter Ten. Fractional-order systems in biological applications: estimating causal relations in a system with inner connectivity using fractional moments - p. 275 17. Chapter Eleven. Unitary fractional-order derivative operators for quantum computation - p. 301 18. Chapter Twelve. Analysis and realization of fractional step filters of order (1+α1+α) - p. 337 19. Chapter Thirteen. Fractional-order identification and synthesis of equivalent circuit for electrochemical system based on pulse voltammetry - p. 373 20. Chapter Fourteen. Higher-order fractional elements: realizations and applications - p. 403 21. Chapter Fifteen. Fabrication of polymer nanocomposite-based fractional-order capacitor: a guide - p. 437 22. Chapter Sixteen. Design guidelines for fabrication of MWCNT-polymer based solid-state fractional capacitor - p. 485 23. Index - p. 523
