Advances in Dynamics and Control of Fractional Discrete Time Systems

Theories and Applications

Adel Ouannas, Noureddine Djenina, Omar Naifar, Abdellatif Ben Makhlouf

• Publisher: Academic Press
• Year: 2026
• Topic: Technology & Engineering
• eBook ISBN:
  9780443450396
• Subtopic: Optimization
• Index: Technology & Engineering

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. - 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

Table of contents

• Title of Book
• Chapter 1: General introduction and overview of the book
• Chapter 2: Fractional discrete calculus: theory, methods, and approaches
• Chapter 3: Stability of commensurate fractional discrete time systems
• Chapter 4: Stability and simulation of incommensurate fractional discrete systems
• Chapter 5: Stability of fractional discrete systems with nabla-operator
• Chapter 6: Stability analysis in fractional h-difference systems: linear and nonlinear approaches
• Chapter 7: Lyapunov functions for Caputo fractional difference systems with incommensurate orders
• Chapter 8: Stability analysis of fractional variable-order discrete-time systems
• Chapter 9: Application of discrete fractional calculus in analyzing the COVID-19 epidemic
• Chapter 10: Modeling Ebola transmission using a discrete fractional incommensurate approach
• Chapter 11: Chaos analysis and stabilization in the fractional variable-order Grassi–Miller map
• Chapter 12: Four-dimensional fractional-order chaotic map: dynamical properties with constant and variable orders
• Chapter 13: Impact of fractional variable order on the discrete-time Tinkerbell map dynamics
• Chapter 14: On chaotic behavior of a fractional discrete-time model for computer virus spread
• Chapter 15: Control of fractional discrete chaotic systems
• Chapter 16: Linear techniques for chaos control in fractional-order discrete systems
• Chapter 17: On different synchronization strategies of fractional chaotic discrete-time systems
• Chapter 18: Nonlocal pattern formation: a nabla fractional framework for discrete Gierer–Meinhardt dynamics
• Chapter 19: Finite-time stability criteria for a discrete fractional-order SIR reaction–diffusion epidemic model
• Index