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Positivity and stabilization of fractional 2D linear systems described by the Roesser model

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Kaczorek T., Rogowski K.

International Journal of Applied Mathematics and Computer Science

2010

tom 20

nr 1

85-92

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Kaczorek T.

1 Rogowski K.

1 2010

Wyniki wyszukiwania

Positivity and stabilization of fractional 2D linear systems described by the Roesser model