Hankel operators for fractional-order systems

被引：0
作者：
Department of Electrical and Computer Engineering, University of Akron, Akron, OH 44325-3904, United States [1 ]
机构：
[1] Department of Electrical and Computer Engineering, University of Akron, Akron
来源：
J. Eur. Syst. Autom. | 2008年 / 6-8卷 / 701-713期
关键词：
Fractional calculus; Fractional-order systems; Hankel operators; Initialization; Integral equations;
D O I：
10.3166/JESA.42.701-713
中图分类号：
学科分类号：
摘要：
This paper applies the theory of a Hankel operators to fractional-order systems. It is shown that the Hankel operator approach to fractional-order systems inherently accounts for the difficulty in the initializion problem for fractional-order differential equations. The integralequation approach also verifies that the range of the Hankel operator is infinite dimensional, so a finite number of initial conditions is insufficient to account for the effect of the past behaviour on the future output of the fractional-order system. © 2008 Lavoisier, Paris.
引用
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页码：701 / 713
页数：12
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