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

@article{Kaczorek2010PositivityAS,
  title={Positivity and stabilization of fractional 2D linear systems described by the Roesser model},
  author={Tadeusz Kaczorek and Krzysztof Rogowski},
  journal={Applied Mathematics and Computer Science},
  year={2010},
  volume={20},
  pages={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… CONTINUE READING

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