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Elsevier

Advances in Dynamics and Control of Fractional Discrete Time Systems

Theories and Applications

  • 1st Edition - October 1, 2026
  • Latest edition
  • Editors: Adel Ouannas, Noureddine Djenina, Omar Naifar, Abdellatif Ben Makhlouf
  • Language: English

Advances in Dynamics and Control of Fractional Discrete Time Systems: Theories and Applications delves into the cutting-edge developments in the field of fractional discrete time s… Read more

Description

Advances in Dynamics and Control of Fractional Discrete Time Systems: Theories and Applications delves into the cutting-edge developments in the field of fractional discrete time systems. This comprehensive resource bridges the gap between theoretical advancements and practical applications, offering readers a thorough understanding of the dynamics and control mechanisms of these systems. With a blend of rigorous mathematical theory and real-world examples, this book is an essential guide for anyone looking to master the complexities of fractional discrete time systems.

Key features

  • Provides a detailed examination of the mathematical foundations of fractional discrete time systems, including stability analysis, control design, and system identification
  • Includes a variety of case studies from different engineering fields, showcasing the application of fractional discrete time systems in real-world scenarios. These case studies help readers understand how to implement theoretical concepts in practice
  • Explores advanced control strategies and techniques, such as adaptive control, robust control, and optimal control, specifically tailored for fractional discrete time systems. This feature is particularly valuable for professionals looking to enhance their control system designs

Readership

Researchers, academics, and graduate students in the fields of control theory, applied mathematics, and engineering. This book is particularly relevant for those specializing in fractional calculus, discrete time systems, and their applications in various engineering disciplines

Table of contents

1. Introduction. Definition and importance of fractional difference systems

2. Essential Mathematical Tools. Z-transform, state matrices, and stability theory

3. Fundamentals of Fractional Difference Calculus. Basic concepts and properties

4. Modeling of Fractional Discrete-Time Systems. Methods for building mathematical models

5. Stability of Commensurate Order Systems. Stability criteria and analysis

6. Stability of Incommensurate Order Systems. Advanced methods and analyses

7. Control Methods in Fractional Discrete-Time Systems. Various control techniques

8. Synchronization in Fractional Discrete-Time Systems. Study and mechanisms of synchronization

9. Control of Chaos in Fractional Discrete-Time Systems. Exploring the Control in chaotic Fractional Discrete-Time Systems

10. Applications of Fractional Discrete-Time Systems in Engineering and Science. Practical examples and uses

11. Applications in Epidemic Models. Studying the role of fractional discrete systems in modeling the spread of infectious diseases, stability of disease-free equilibrium, and control strategies

12. Numerical Algorithms. Computational methods for solving fractional equations

13. Design of Robust Control Systems. Strategies for performance improvement

14. Conclusion and Future Perspectives. Summary and future research suggestions

Product details

  • Edition: 1
  • Latest edition
  • Published: January 1, 2027
  • Language: English

About the editors

AO

Adel Ouannas

Adel Ouannas received his B.S. in Mathematics from Laarbi Ben Mhidi University in 2003, an M.Sc. from the University of Constantine in 2006, and a Ph.D. from the same university in 2015. His research focuses on chaotic and hyperchaotic circuits, fractional-order systems, synchronization properties, chaos-based cryptography, fractional neural networks, and stability of nonlinear systems. Prof. Ouannas has published over 200 journal articles (indexed in Web of Science) and 90 conference papers.
Affiliations and expertise
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia and Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi, Algeria

ND

Noureddine Djenina

Noureddine Djenina, born in Tebessa, Algeria, is a researcher in applied mathematics affiliated with the University of Oum El Bouaghi. He also holds a Master’s degree in partial differential equations (PDEs) from the University of Tebessa.

Affiliations and expertise
Institute of Hygiene and Safety, Mustapha Ben Boulaid University, Fesdis, Batna, Algeria

ON

Omar Naifar

Omar Naifar earned his Master’s degree in Computer Science in 2010, a Ph.D. in Electrical Engineering in 2015, and the H.D.R. degree in 2021, all from the University of Sfax, Tunisia. He is currently an Associate Professor and a member of the Control and Energy Management Laboratory (CEM-Lab). His research interests include robust nonlinear control, observer design, fault diagnosis, and fractional-order systems. Prof. Naifar is an Associate Editor of the Asian Journal of Control (Wiley).
Affiliations and expertise
University of Sfax, National School of Engineers of Sfax, Tunisia

AM

Abdellatif Ben Makhlouf

Abdellatif Ben Makhlouf received his Bachelor’s and Master’s degrees in Mathematics and his Ph.D. from the University of Sfax, Tunisia, in 2015. He is currently an Associate Professor of Mathematics at the University of Sfax. His research interests include fractional differential equations, stochastic differential equations, ordinary differential equations, control theory, and stability theory.
Affiliations and expertise
Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Tunisia