Mathematical Techniques of Fractional Order Systems

Illustrates recent advances and developments in linear and nonlinear fractional-order systems

Ahmad Taher Azar (Edited by), Ahmed G. Radwan (Edited by), Sundarapandian Vaidyanathan (Edited by)

9780128135921, Elsevier Science

Paperback, published 13 June 2018

700 pages
22.9 x 15.1 x 4.3 cm, 1.13 kg

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.

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

Subject Areas: Electrical engineering [THR], Mechanical engineering [TGB], Maths for engineers [TBJ]