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

Guermah, S. ; Djennoune, S. ; Bettayeb, M.

International Journal of Applied Mathematics and Computer Science, Tome 18 (2008) no. 2, pp. 213-222.

Résumé

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.

Détail

Keywords: system modeling, discrete fractional state-space systems, reachability, controllability and observability gramians
Mots-clés : modelowanie systemu, osiągalność, gramian sterowalności, gramian obserwowalności

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