Fractional-Order Nonlinear Systems
Fractional-Order Nonlinear Systems
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DOI：
10.1007/978-3-642-18101-6
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发表时间：
2011
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影响因子：
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通讯作者：
I. Petráš
中科院分区：
文献类型：
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作者：
I. Petráš
“分数阶非线性系统：建模，分析和仿真”介绍了分数阶混沌系统的研究，并附有Matlab程序，用于模拟其状态空间轨迹，如书中的插图所示。混沌系统的描述清楚地提出，并在一个易于遵循的方式进行分析和数值解。还介绍了所选分数阶系统的Simulink模型。读者将了解分数阶微积分的基本原理，如何使用分数阶导数和分数阶微分方程描述真实的动力系统，如何求解这些方程，以及如何模拟和探索分数阶混沌系统。这本书地址的数学家，物理学家，工程师和其他科学家感兴趣的混沌现象或分数阶系统。它可以用于动力系统，控制理论和应用数学在研究生或研究生水平的课程。Ivo Petrán是斯洛伐克共和国科希策技术大学贝格学院自动控制副教授和生产过程控制和信息化研究所所长。他的主要研究兴趣包括控制系统、工业自动化和应用数学。
" 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.