Mathematical Techniques of Fractional Order Systems
Advances in Nonlinear Dynamics and Robotics (ANDC) Series

Coordinators: Taher Azar Ahmad, Radwan Ahmed G., Vaidyanathan Sundarapandian

Language: English
Cover of the book Mathematical Techniques of Fractional Order Systems

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700 p. · 15x22.8 cm · Paperback

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.

1. Analog and digital realization of nonlinear fractional order systems 2. Bifurcation analysis and control 3. Chaos analysis, control and anti-control 4. Chaos modeling and control applications 5. Control and synchronization of complex networks 6. Discrete chaotic maps and their applications 7. Fractional order modelling of physical systems 8. Fractional system identification and optimization 9. Fuzzy fractional order controller 10. Nonlinear circuit analysis and applications 11. Random number generators and encryption in integer and fractional order domains 12. Recent nontechnology applications based on memristors, memcapacitors, and meminductor elements

Researchers from academia and industry, who are working in the research areas—control engineering, electrical engineering, computer science, and information technology

Prof. Ahmad Azar has received the M.Sc. degree in 2006 and Ph.D degree in 2009 from Faculty of Engineering, Cairo University, Egypt. He is a research associate Professor at Prince Sultan University, Riyadh, Kingdom Saudi Arabia. He is also an associate professor at the Faculty of Computers and Artificial intelligence, Benha University, Egypt.
Prof. Azar is the Editor in Chief of International Journal of System Dynamics Applications (IJSDA) and International Journal of Service Science, Management, Engineering, and Technology (IJSSMET) published by IGI Global, USA. Also, he is the Editor in Chief of International Journal of Intelligent Engineering Informatics (IJIEI), Inderscience Publishers, Olney, UK.
Prof. Azar has worked as associate editor of IEEE Trans. Neural Networks and Learning Systems from 2013 to 2017. He is currently Associate Editor of ISA Transactios, Elsevier and IEEE systems journal. Dr. Ahmad Azar has worked in the areas of Control Theory & Applications, Process Control, Chaos Control and Synchronization, Nonlinear control, Renewable Energy, Computational Intelligence and has authored/coauthored over 200 research publications in peer-reviewed reputed journals, book chapters and conference proceedings.
He is an editor of many books in the field of fuzzy logic systems, modeling techniques, control systems, computational intelligence, chaos modeling and machine learning. Dr. Ahmad Azar is closely associated with several international journals as a reviewer. He serves as international programme committee member in many international and peer-reviewed conferences.
Dr. Ahmad Azar has been a senior member of IEEE since December 2013 due to his significant contributions to the profession. Dr. Ahmad Azar is the recipient of several awards including: Benha University Prize for Scientific Excellence (2015, 2016, 2017 and 2018), the paper citation award from Benha University (2015, 2016, 2017 and 2018). In June 2018, Prof. Azar was awarded the E
  • 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