Mathematical Techniques of Fractional Order Systems
- 1st Edition - June 11, 2018
- Latest edition
- Editors: Ahmad Taher Azar, Ahmed G. Radwan, Sundarapandian Vaidyanathan
- Language: English
Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including… Read more
Description
Description
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.
Key features
Key features
- 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
Readership
Readership
Researchers from academia and industry, who are working in the research areas of control engineering, electrical engineering, computer science, and information technology
Table of contents
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
Product details
Product details
- Edition: 1
- Latest edition
- Published: June 11, 2018
- Language: English
About the editors
About the editors
AT
Ahmad Taher Azar
Prof. Ahmad Azar is a full Professor at Prince Sultan University, Riyadh, Kingdom Saudi Arabia. He is the leader of Automated Systems and Computing Lab (ASCL), Prince Sultan University, Saudi Arabia.
Prof. Azar is the Editor in Chief of the International Journal of Intelligent Engineering Informatics (IJIEI), Inderscience Publishers, Olney, UK. He is also the Editor in Chief of International Journal of Service Science, Management, Engineering, and Technology (IJSSMET) and International Journal of Sociotechnology and Knowledge Development (IJSKD) published by IGI Global, USA. From 2013 to 2017, Prof. Azar was an associate editor of ISA Transactions, Elsevier.
He is currently an editor for IEEE Transactions on Fuzzy Systems, IEEE Systems Journal, IEEE Transactions on Neural Networks and Learning Systems, Springer's Human-centric Computing and Information Sciences.
Prof. Azar specializes in artificial intelligence (AI), robotics, machine learning, control theory and applications, computational intelligence, reinforcement learning, and dynamic system modeling. He has published or co-published over 550 research papers, book chapters, and conference proceedings in prestigious peer-reviewed journals.
Dr. Ahmad Azar has received several awards, including the Benha University Prize for Scientific Excellence (2015, 2016, 2017, and 2018) and the Benha University Highest Citation Award (2015, 2016, 2017, and 2018).
In June 2018, he was awarded the Egyptian State Encouragement Award in Engineering Sciences by the Ministry of Higher Education and Scientific Research. In August 2018, he was elected as a senior member of the International Rough Set Society (IRSS).
Prof. Azar was named one of the top computer scientists in Saudi Arabia by Research.com since December 2019.
He was awarded the Egyptian President's Distinguished Egyptian Order of the First Class in February 2020.
In October 2020, Prof. Azar received Abdul Hameed Shoman Arab Researchers Award in Machine Learning and Big Data Analytics.
From October 2020 to September 2023, Prof. Azar was recognized as a Distinguished researcher at Prince Sultan University, Riyadh, Saudi Arabia.
In November 2020, October 2021, October 2022, October 2023, September 2024, and September 2025 Prof. Azar was named one of the top 2% of scientists in the world in Artificial Intelligence by Stanford University, based on single-year impact and career-long impact. These rankings were published by Stanford University in the PLOS journal and were based on the SCOPUS database.
Prof. Ahmad Azar has been recognized as one of the top ten researchers at Prince Sultan University, based on his Scopus H-index. He has also received a university award for being among his top publication of research.
Prof. Azar has received Prince Sultan University’s Research Excellence Award. He is also the recipient of the university’s Highest Impact Researcher Award, based on his H-index. Additionally, he has earned a PSU research award for having publications ranked among the top five by impact factor.
Prof. Ahmad Azar is the Vice Chair of the International Federation of Automatic Control (IFAC) Technical Committee of Control Design, Vice chair of IFAC Technical committee 4.3 Robotics, Vice chair of IFAC Technical committee 9.3 “Control for Smart Cities”. He is a technical Committee Member of Data Mining and Big Data Analytics of IEEE Computational Intelligence Society (CIS), IFAC Technical committee Member TC 2.2. Linear Control Systems, IFAC Technical committee Member TC 1.2. Adaptive and Learning Systems.
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Ahmed G. Radwan
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