Introduction to fractional linear systems. Part 1: Continuous-time case
- 1 January 2000
- journal article
- research article
- Published by Institution of Engineering and Technology (IET) in IEE Proceedings - Vision, Image, and Signal Processing
- Vol. 147 (1) , 62-70
- https://doi.org/10.1049/ip-vis:20000272
Abstract
In the paper, the class of continuous-time linear systems is enlarged with the inclusion of fractional linear systems. These are systems described by fractional differential equations. It is shown how to compute the impulse, step, and frequency responses from the transfer function. The theory is supported by definitions of fractional derivative and integral, generalisations of the usual. An introduction to fractal signals as outputs of fractional differintegrators is presented. It is shown how to define a stationary fractal.Keywords
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