Positivity and stabilization of fractional 2D linear systems described by the Roesser model
Tadeusz Kaczorek, Krzysztof Rogowski (2010)
International Journal of Applied Mathematics and Computer Science
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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...