Fractional Order Calculus: Basic Concepts and Engineering Applications

被引：211
作者：
Gutierrez, Ricardo Enrique [1 ]
Rosario, Joao Mauricio [1 ]
Machado, Jose Tenreiro [2 ]
机构：
[1] Univ Estadual Campinas, Dept Mech Engn, BR-13083970 Campinas, SP, Brazil
[2] ISEP, Dept Elect Engn, P-4200072 Oporto, Portugal
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷
关键词：
SYSTEMS; MODELS;
D O I：
10.1155/2010/375858
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The fractional order calculus (FOC) is as old as the integer one although up to recently its application was exclusively in mathematics. Many real systems are better described with FOC differential equations as it is a well-suited tool to analyze problems of fractal dimension, with long-term "memory" and chaotic behavior. Those characteristics have attracted the engineers' interest in the latter years, and now it is a tool used in almost every area of science. This paper introduces the fundamentals of the FOC and some applications in systems' identification, control, mechatronics, and robotics, where it is a promissory research field.
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页数：19
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