Geodesic
Positivity and stabilization of fractional 2D linear systems described by the Roesser model
International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 1, pp. 85-92.

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A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
Keywords: positivity, stabilization, fractional systems, Roesser model, 2D systems
Mots-clés : dodatniość, stabilizacja, system ułamkowy, model Roessera, system 2D 
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Kaczorek, T.; Rogowski, K. Positivity and stabilization of fractional 2D linear systems described by the Roesser model. International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 1, pp. 85-92. http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_1_a5/

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