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Engineering - Control Engineering | Fractional-Order Nonlinear Systems - Modeling, Analysis and Simulation

Fractional-Order Nonlinear Systems

Modeling, Analysis and Simulation

Petras, Ivo

Jointly published with Higher Education Press

2011, 218p. 119 illus..

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  • A clear examination of the stability theory of fractional dynamical systems, with examples
  • Presents complex concepts in fractional dynamical systems in easy-to-understand fashion
  • Integrates Matlab programs and Simulink models for interactive learning

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order.

The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level.  

Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Content Level » Research

Keywords » Control of chaos - Fractional calculus - Fractional chaotic systems - HEP - Matlab programs chaos - NPS - Simulink models - Stability of fractional order systems

Related subjects » Control Engineering - Dynamical Systems & Differential Equations - Statistical Physics & Dynamical Systems

Table of contents 

Introduction.- Fractional Calculus.- Fractional-Order Systems.- Stability of Fractional-Order Systems.- Fractional-Order Chaotic Systems.- Control of Chaotic Systems.- Conclusion.

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Distribution rights in China: Higher Education Press

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