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

Author: Kaczorek Tadeusz  

Publisher: Emerald Group Publishing Ltd

ISSN: 0332-1649

Source: COMPEL: Int J for Computation and Maths. in Electrical and Electronic Eng., Vol.25, Iss.4, 2006-10, pp. : 812-826

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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.