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Purpose

The paper aims to formulate and solve the realization problem for 2D positive multi‐input multi‐output linear hybrid systems.

Design/methodology/approach

A procedure is proposed for finding a positive 2D realization of a given proper transfer matrix.

Findings

Sufficient conditions for the existence of a positive 2D realization of a given proper transfer matrix are established.

Originality/value

A method for computation of a positive 2D realization of a given proper transfer matrix is proposed.

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