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Paper details
Number 1 - March 2010
Volume 20 - 2010
Positivity and stabilization of fractional 2D linear systems described by the Roesser model
Tadeusz Kaczorek, Krzysztof Rogowski
Abstract
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