Abstract
We study reachability and controllability properties for discrete-time positive periodic systems. The equivalence between N-periodic systems, with n states and m inputs, and invariant systems, with n states and Nm inputs, preserves the positivity of such systems, and in addition, closely relates their reachability cones. This equivalence permits us to show that the complete contrallability (reachability) of a positive N-periodic system is equivalent to the complete contrallability (reachability) of N associated positive invariant systems.
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