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International Journal of Applied Mathematics and Computer Science

Journal of University of Zielona Gora and Lubuskie Scientific Society

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

Said Guermah1 / Said Djennoune1 / Maamar Bettayeb1

Laboratoire de Conception et Conduite des Systèmes de Production, Universitè Mouloud Mammeri de Tizi-Ouzou, BP 17 RP, Tizi-Ouzou1

Electrical & Computer Engineering Department, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates2

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Citation Information: International Journal of Applied Mathematics and Computer Science. Volume 18, Issue 2, Pages 213–222, ISSN (Print) 1641-876X, DOI: https://doi.org/10.2478/v10006-008-0019-6, June 2008

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

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.

Keywords: system modeling; discrete fractional state-space systems; reachability; controllability; observability; controllability and observability Gramians

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