Minimal positive realizations for discrete‐time systems with state time‐delays

Aims to formulate and solve the minimal positive realization problem for discrete‐time linear single‐input, single‐output systems with many state time‐delays.

A conceptual discussion and approach are taken.

Sufficient conditions for the existence of positive realizations of a given proper rational function are established. A procedure for computation of minimal positive realizations is presented and illustrated by an example.

Extends an earlier method for positive discrete‐time systems with many state time‐delays.