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New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions

  • Rafał Stanisławski EMAIL logo
Published/Copyright: February 18, 2017

Abstract

This paper tackles important problems in stable discretization of commensurate fractional-order continuous-time LTI SISO systems based on the Grünwald-Letnikov (GL) difference. New, analytical stability/instability conditions are given for the GL-discretized systems governed by fractional-order transfer functions. A stability preservation analysis is also performed for a class of finite GL approximators.

Acknowledgements

The author is indebted to Prof. Krzysztof J. Latawiec for his stimulating discussions and to the anonymous reviewers for their instructive comments.

References

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Received: 2016-5-3
Revised: 2016-12-3
Published Online: 2017-2-18
Published in Print: 2017-2-1

© 2017 Diogenes Co., Sofia

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