New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions-Reference-Cited by-同舟云学术

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

Published:2017-01-01 Issue:1 Volume:20 Page:
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:
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Author:

Stanisławski Rafał

Abstract

AbstractThis 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0013/pdf

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