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Volume 38, Issue 7-8
7 August 2009
Kybernetes Cover Image for Volume 38, Issue 7-8
Editors
Augusto Sales
Augusto Sales
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Research Article| August 07 2009

Fractional positive linear systems Available to Purchase

Tadeusz Kaczorek
Tadeusz Kaczorek
Department of Electrical Engineering, Bialystok Technical University, Bialystok, Poland
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Author & Article Information
Publisher: Emerald Publishing
Online ISSN: 1758-7883
Print ISSN: 0368-492X
© Emerald Group Publishing Limited
2009
Kybernetes (2009) 38 (7-8): 1059–1078.
https://doi.org/10.1108/03684920910976826
Purpose

The purpose of this paper is to introduce a new class of fractional positive continuous‐time and discrete‐time linear systems.

Design/methodology/approach

Solutions to the state equations of the fractional systems are given.

Findings

Necessary and sufficient conditions are established for the internal and external positivity and of the reachability and controllability to zero of the fractional systems.

Originality/value

A method for analysis of the fractional positive linear systems is proposed.

Keywords:
Cybernetics, Systems theory, Control theory
© Emerald Group Publishing Limited
2009
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