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

Mathematical Techniques of Fractional Order Systems 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 of 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

Ahmad Taher Azar, PhD, IEEE senior Member, ISA Member Faculty of Computers and Information, Benha University, Egypt; School of Engineering and Applied Sciences, Nile University, Sheikh Zayed District - Juhayna Square, 6th of October City, Giza 12588, Egypt. e-mail: ahmad.azar@fci.bu.edu.eg, ahmad_t_azar@ieee.org http://www.bu.edu.eg/staff/ahmadazar14 https://scholar.google.com.eg/citations?user=6gf4UVkAAAAJ&hl=en https://sites.google.com/site/drahmadtaherazar/ 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). He is currently assistant professor, Faculty of computers and information, Benha 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. Dr. 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 Transactions, Elsevier. Dr. Ahmad Azar has worked in the areas of Control Theory & Applications, Process Control, Chaos Control and Synchronization, Nonlinear control, Computational Intelligence and has authored/coauthored over 190 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 is currently Senior member in IEEE, Chair of IEEE Computational Intelligence Society (CIS) Egypt Chapter and Vice chair of IEEE Computational Intelligence Society Interdisciplinary Emergent Technologies Task Force. 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

Professor and Dean, Research and Development Centre, Vel Tech University, Chennai, India Email: sundarvtu@gmail.com https://www.scopus.com/authid/detail.uri?authorId=6603779810 Dr. Sundarapandian Vaidyanathan received the D.Sc. degree (1996) in Systems Science and Mathematics from Washington University, St. Louis, USA. He is currently Professor and Dean, Research and Development Centre, Vel Tech University, Chennai, India. Dr. Sundarapandian is an Associate Editor of International Journal of System Dynamics Applications (IJSDA) published by IGI Global, USA. He is the Associate Editor of International Journal of Intelligent Engineering Informatics (IJIEI), Inderscience Publishers, Olney, UK. He is also an Editorial Board Member of International Journal of Modelling, Identification and Control (IJMIC), and International Journal of Simulation and Process Modelling (IJSPM), Inderscience Publishers, Olney, UK. Dr. Sundarapandian is an active researcher in the areas of Control Systems Modelling, Nonlinear Control Systems, Chaos Theory and Applications, Chaos Control and Synchronization, Nonlinear control, Operations Research, Computational Science Computational Intelligence and has authored/coauthored over 360 Scopus-indexed research publications in peer-reviewed reputed journals, book chapters and conference proceedings. He has published several books in the areas of Chaos Theory, Control Systems and Computational Intelligence. His major contributions are in the areas of chaos modelling and control, and he has discovered many novel chaotic and hyperchaotic systems. He has also contributed to multidisciplinary applications of chaos modelling and control. Dr. Sundarapandian is an editor of many Books in the fields of Control Systems, Chaos Theory, Intelligent control, Computational Intelligence, Modelling and Applications. Dr. Sundarapandian serves as international steering committee member in many international and peer-reviewed conferences. He has delivered keynote lectures in many Control Conferences and also conducted International Workshops on MATLAB and SCILAB.

Affiliations and Expertise

Cairo University, Egypt