Advances in Dynamics and Control of Fractional Discrete Time Systems
Theories and Applications
Will be published approx. on 1. October 2026
Book
Paperback/Softback
420 pages
978-0-443-45038-9 (ISBN)
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.
More details
Content
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
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