41st IEEE CONFERENCE ON DECISION AND CONTROL TUTORIAL WORKSHOP #2 FRACTIONAL CALCULUS APPLICATIONS IN AUTOMATIC CONTROL AND ROBOTICS

In this paper, the class of continuous-time linear systems is enlarged with the inclusion of the fractionallinear systems. These are systems described by fractional differential equations. It is shown how to compute theimpulse, step, and frequency responses from the transfer function. The theory is supported by definitions offractional derivative and integral, generalisations of the usual. An introduction to fractal signals as outputs offractional differintegrators is also done. It is shown how to define a stationary fractal. 1 IEE Proceedings Vision, Image and Signal Processing, vol.147,No. 1, February 20002 Also with INESC, R. Alves Redol, 9, 2o, 1000 Lisbon 41st IEEE CONFERENCE ON DECISION AND CONTROLTUTORIAL WORKSHOP #2. FRACTIONAL CALCULUS APPLICATIONS IN AUTOMATIC CONTROL AND ROBOTICS