Reachability and controllability to zero of positive fractional discrete-time systems

@article{Kaczorek2007ReachabilityAC,
  title={Reachability and controllability to zero of positive fractional discrete-time systems},
  author={Tadeusz Kaczorek},
  journal={2007 European Control Conference (ECC)},
  year={2007},
  pages={1708-1712}
}
A notion of positive fractional discrete-time system is introduced. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero of fractional discrete-time linear systems. The classical Cayley-Hamilton theorem is extended for the positive fractional systems. 
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