### Abstract

The Linear Scale Invariant Systems are introduced for both integer and fractional orders. They are defined by the generalized Euler-Cauchy differential equation. It is shown how to compute the impulse responses corresponding to the two regions of convergence of the transfer function. This is obtained by using the Mellin transform. The quantum fractional derivatives are used because they are suitable for dealing with this kind of systems.

Original language | Unknown |
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Title of host publication | ICINCO 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS |

Pages | 196-202 |

Publication status | Published - 1 Jan 2009 |

Event | 6th International Conference on Informatics in Control, Automation and Robotics - Duration: 1 Jan 2009 → … |

### Conference

Conference | 6th International Conference on Informatics in Control, Automation and Robotics |
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Period | 1/01/09 → … |

## Cite this

Ortigueira, M. D., & DEE Group Author (2009). ON THE LINEAR SCALE FRACTIONAL SYSTEMS An Application of the Fractional Quantum Derivative. In

*ICINCO 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS*(pp. 196-202)