Realization problem for positive 2D hybrid systems

Abstract

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.

Citation

Kaczorek, T. (2008), "Realization problem for positive 2D hybrid systems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 27 No. 3, pp. 613-623. https://doi.org/10.1108/03321640810861061