Mathematical Techniques of Fractional Order Systems - 1st Edition - ISBN: 9780128135921

Mathematical Techniques of Fractional Order Systems

1st Edition

Editors: Ahmad Taher Azar Ahmed Radwan Sundarapandian Vaidyanathan
Paperback ISBN: 9780128135921
Imprint: Elsevier
Published Date: 1st June 2018
Page Count: 500
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Table of Contents

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


Description

Linear and Nonlinear Fractional Order Systems: Analysis and Applications illustrates advances in the linear and nonlinear fractional-order systems relating to many interdisciplinary applications, such as 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 prospective in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems from various potential in design, analysis, emulators, simulation and experimental results. Finally, the basic theorems and advances in linear and nonlinear control fractional-order systems are presented, along with their synchronization and applications.

This book will attract many researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. it is primarily meant for researchers from academia and industry and those working in such research areas as control engineering, electrical engineering, computer science and information technology.

Key Features

  • Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results
  • Includes new circuits and systems based on the 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

Readership

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


Details

No. of pages:
500
Copyright:
© Elsevier 2018
Published:
Imprint:
Elsevier
Paperback ISBN:
9780128135921

Ratings and Reviews


About the Editors

Ahmad Taher Azar Editor

Dr. Ahmad Azar has received the M.Sc. degree (2006) in System Dynamics and Ph.D degree (2009) in Adaptive Neuro-Fuzzy Systems from Faculty of Engineering, Cairo University (Egypt). Dr. Azar is the Editor in Chief of International Journal of System Dynamics Applications (IJSDA) published by IGI Global, USA. Also, he is the Editor in Chief of International Journal of Intelligent Engineering Informatics (IJIEI), Inderscience Publishers, Olney, UK. He is associate editor of IEEE Trans. Neural Networks and Learning Systems and IEEE Access. Dr. Ahmad Azar is a senior member of IEEE since 2013 and has worked in the areas of Control Theory & Applications, Process Control, Chaos Control and Synchronization, Nonlinear control, Robust Control, Computational Intelligence. He is currently the Chair of IEEE Computational Intelligence Society (CIS) Egypt Chapter, Vice chair of IEEE Computational Intelligence Society Interdisciplinary Emergent Technologies Task Force and vice-Chair Research Activities of IEEE Robotics and Automation Society (RAS) Egypt Chapter. Also, he is the Vice-president (North) of System dynamics Africa Regional Chapter and an Academic Member of IEEE Systems, Man, and Cybernetics Society Technical Committee on Computational Collective Intelligence.

Affiliations and Expertise

Faculty of Computers and Information, Benha University and Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt

Ahmed Radwan Editor

During the last ten years, he was invited for one year as a visiting professor in the Electromagnetics Computational Lab (ECE), McMaster University, Canada, and more than two years as one of the first research teams in the King Abdullah University of Science and Technology (KAUST), Saudi Arabia. Dr. Radwan received the Shoman award in basic sciences in 2015, the state achievements award for research in mathematical sciences in 2012, the Cairo University achievements award for research in the engineering sciences in 2013, the physical sciences award in 2013 by Misr El-Khair Institution, and the best researcher awards Nile University 2015. His main research interests are in the fields of nonlinear circuit analysis, chaotic systems, fractional order systems, image encryption, and memristor-based circuits. He supervised/Co-supervised more than 9 PhD/ 16 MSc students in different research topics. He is the coauthor of more than 180 international papers and few international books. He is the author of the several books, and six US patents based on interdisciplinary ideas between mathematics and electronics/circuits.

Affiliations and Expertise

Cairo University, Giza, Egypt

Sundarapandian Vaidyanathan Editor

Associate Professor in the Engineering Mathematics Department, Cairo University, Egypt, and Director of Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt During the last ten years, he was invited for one year as a visiting professor in the Electromagnetics Computational Lab (ECE), McMaster University, Canada, and more than two years as one of the first research teams in the King Abdullah University of Science and Technology (KAUST), Saudi Arabia. Dr. Radwan received the Shoman award in basic sciences in 2015, the state achievements award for research in mathematical sciences in 2012, the Cairo University achievements award for research in the engineering sciences in 2013, the physical sciences award in 2013 by Misr El-Khair Institution, and the best researcher awards Nile University 2015. His main research interests are in the fields of nonlinear circuit analysis, chaotic systems, fractional order systems, image encryption, and memristor-based circuits. He supervised/Co-supervised more than 9 PhD/ 16 MSc students in different research topics. He is the coauthor of more than 180 international papers and few international books. He is the author of the several books, and six US patents based on interdisciplinary ideas between mathematics and electronics/circuits.

Affiliations and Expertise

Cairo University, Egypt