Controllability and Observability of Linear Discrete-Time Fractional-Order Systems

Said Guermah; Said Djennoune; Maamar Bettayeb

doi:10.2478/v10006-008-0019-6

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Controllability and Observability of Linear Discrete-Time Fractional-Order Systems

International Journal of Applied Mathematics and Computer Science

Volume 18 (2008): Issue 2 (June 2008)

By: Said Guermah, Said Djennoune and Maamar Bettayeb

Open Access

|Jun 2008

Abstract

In this paper we extend some basic results on the controllability and observability of linear discrete-time fractional-order systems. For both of these fundamental structural properties we establish some new concepts inherent to fractional-order systems and we develop new analytical methods for checking these properties. Numerical examples are presented to illustrate the theoretical results.

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Articles in this issue

DOI: https://doi.org/10.2478/v10006-008-0019-6 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 213 - 222

Published on: Jun 16, 2008

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

system modeling,

discrete fractional state-space systems,

reachability,

controllability,

observability,

controllability and observability Gramians

Related subjects:

Mathematics,

Applied mathematics

© 2008 Said Guermah, Said Djennoune, Maamar Bettayeb, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 18 (2008): Issue 2 (June 2008)