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

Authors:
Said Guermah;Said Djennoune;Maamar Bettayeb
Affiliations:
Laboratoire de Conception et Conduite des Systèmes de Production, Universitè Mouloud Mammeri de Tizi-Ouzou, BP 17 RP, Tizi-Ouzou;Laboratoire de Conception et Conduite des Systèmes de Production, Universitè Mouloud Mammeri de Tizi-Ouzou, BP 17 RP, Tizi-Ouzou;Electrical & Computer Engineering Department, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates
Venue:
International Journal of Applied Mathematics and Computer Science - Special Section: Selected Topics in Biological Cybernetics, Special Editors: Andrzej Kasiński and Filip Ponulak
Year:
2008

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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.