International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2008
Volume 18 - 2008

Controllability and observability of linear discrete-time fractional-order systems

Said Guermah, Said Djennoune, Maamar Bettayeb

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.

Keywords
system modeling, discrete fractional state-space systems, reachability, controllability, observability, controllability

DOI
10.2478/v10006-008-0019-6