Mathematical Techniques of Fractional Order Systems
eBook - ePub

Mathematical Techniques of Fractional Order Systems

  1. 700 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Techniques of Fractional Order Systems

About this book

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology.This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems.- Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results- Includes circuits and systems based on new nonlinear elements- Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers- Closes the gap between theoretical approaches and real-world applications- Provides MATLAB® and Simulink code for many applications in the book

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Yes, you can access Mathematical Techniques of Fractional Order Systems by Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Automation in Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. List of Contributors
  6. Preface
  7. Chapter 1. Variable Order Fractional Derivatives and Bone Remodeling in the Presence of Metastases
  8. Chapter 2. Nonlinear Fractional Order Boundary-Value Problems With Multiple Solutions
  9. Chapter 3. Fractional Order System Forced-response Decomposition and Its Application
  10. Chapter 4. Exact Solution of Linear Fractional Distributed Order Systems With Exponential Order Weight Functions
  11. Chapter 5. Fractional Order Time-Varying-Delay Systems: A Delay-Dependent Stability Criterion by Using Diffusive Representation
  12. Chapter 6. Fractional Order Error Models With Parameter Constraints
  13. Chapter 7. Controllability of Single-valued and Multivalued Fractional Stochastic Differential Equations
  14. Chapter 8. Controllability of Fractional Higher Order Stochastic Integrodifferential Inclusions
  15. Chapter 9. Design of Fractional Order Fuzzy Sliding Mode Controller for Nonlinear Complex Systems
  16. Chapter 10. Sliding Mode Stabilization and Synchronization of Fractional Order Complex Chaotic and Hyperchaotic Systems
  17. Chapter 11. Multiswitching Synchronization of Commensurate Fractional Order Hyperchaotic Systems Via Active Control
  18. Chapter 12. Dual Combination Synchronization Scheme for Nonidentical Different Dimensional Fractional Order Systems Using Scaling Matrices
  19. Chapter 13. On the Fractional Order Generalized Discrete Maps
  20. Chapter 14. Applications of Continuous-time Fractional Order Chaotic Systems
  21. Chapter 15. Multiswitching Synchronization Between Chaotic Fractional Order Systems of Different Dimensions
  22. Chapter 16. Dynamics, Synchronization and Fractional Order Form of a Chaotic System With Infinite Equilibria
  23. Chapter 17. Chaotic Properties of Various Types of Hidden Attractors in Integer and Fractional Order Domains
  24. Chapter 18. Parameters Identification of Fractional Order Permanent Magnet Synchronous Motor Models Using Chaotic Meta-Heuristic Algorithms
  25. Chapter 19. Control and Synchronization of a Fractional Order Hyperchaotic System via Backstepping and Active Backstepping Approach
  26. Chapter 20. Enhanced Fractional Order Indirect Fuzzy Adaptive Synchronization of Uncertain Fractional Chaotic Systems Based on the Variable Structure Control: Robust H∞ Design Approach
  27. Chapter 21. On the Synchronization and Recurrence of Fractional Order Chaotic Systems
  28. Index