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Positivity and stability of fractional descriptor time–varying discrete–time linear systems

International Journal of Applied Mathematics and Computer Science

Volume 26 (2016): Issue 1 (March 2016)

By: Tadeusz Kaczorek

Open Access

|Mar 2016

Abstract

The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

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Articles in this issue

DOI: https://doi.org/10.1515/amcs-2016-0001 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 5 - 13

Submitted on: Nov 8, 2014

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Published on: Mar 31, 2016

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

fractional system,

descriptor system,

time-varying system,

positive system,

discrete-time system

Related subjects:

Applied mathematics

© 2016 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 26 (2016): Issue 1 (March 2016)