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Reachability and observability of positive discrete-time linear systems with integer positive and negative powers of the state Frobenius matrices

Kaczorek T.

Archives of Control Sciences

2018

Vol. 28, No. 1

119--133

The notions of monomial generalized Frobenius matrices is proposed and the reachability and observability of positive discrete-time linear systems with positive and negative integer powers of the state matrices is addressed. Necessary and sufficient conditions for the reachability of the positive systems are established.