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

Abstract

Purpose

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

Design/methodology/approach

A conceptual discussion and approach are taken.

Findings

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.

Originality/value

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

Citation

Kaczorek, T. (2006), "Minimal positive realizations for discrete‐time systems with state time‐delays", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 25 No. 4, pp. 812-826. https://doi.org/10.1108/03321640610684015