Linear and Nonlinear Fractional Order Systems: Analysis and Applications

Linear and Nonlinear Fractional Order Systems illustrates recent advances and achievements in the linear and nonlinear fractional-order systems related to many interdisciplinary applications such as: biomedical, control, circuits, electromagnetics, and security. The book is divided into 05 parts; Part I discusses the mathematical background and literature survey of the fractional-order calculus including the famous definitions, examples, special functions, and fractional-order dynamical equations with some numerical solutions. Moreover, nonlinear fractional-order ODE and PDE problems is included in this part. Part II debates the generalized fractional-order circuit theorems from different prospective in design, analysis and realizations. In addition, linear fractional-order modelling of interdisciplinary applications (bioengineering, mechanical, communications, and electromagnetics). Part III, considers the nonlinear fractional-order circuits and systems related to physical problems as well as experimental results are. This category  also focus on the fractional-order memristive circuits and systems from various potential in design, analysis, emulators, simulation and experimental results. Part IV summarizes the basic theorems and advances in linear and nonlinear control fractional-order systems, synchronization, and their applications. Finally, Part V discusses the bifurcation concepts based on fractional-order discretization,  fractal analysis, fractional-order chaotic generators, fractional-order encryption systems, fractional-order synchronization, and fractional-order chaotic control systems. This book will attract many researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. it is primarily meant for researchers from academia and industry, who are working in the research areas-control engineering, electrical engineering, computer science, and information technology. The book can also be used at the graduate or advanced undergraduate level as a textbook or major reference for courses such as control systems, nonlinear dynamical systems, mathematical modeling, computational science, numerical simulation, and many others. Discusses multi-disciplinary applications with new fundamentals, modelling, analysis, design, realization, and experimental resultsIncludes new circuits and systems based on the new nonlinear elementsCovers most of the linear and nonlinear fractional-order theorems which will solve many scientific issues for researchersCloses the gap between theoretical approaches and real-world applications, and provide MATLAB® and Simulink code for many of the applications in the book INDICE: 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

• ISBN: 978-0-12-813592-1
• Editorial: Elsevier
• Encuadernacion: Rústica
• Páginas: 500
• Fecha Publicación: 01/06/2018
• Nº Volúmenes: 1
• Idioma: Inglés