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.- 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
Table of Contents
1. Analog and digital realization of nonlinear fractional order systems2. Bifurcation analysis and control3. Chaos analysis, control and anti-control4. Chaos modeling and control applications5. Control and synchronization of complex networks6. Discrete chaotic maps and their applications7. Fractional order modelling of physical systems8. Fractional system identification and optimization9. Fuzzy fractional order controller10. Nonlinear circuit analysis and applications11. Random number generators and encryption in integer and fractional order domains12. Recent nontechnology applications based on memristors, memcapacitors, and meminductor elements
