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In this paper, a study on the positive stable realization problem for continuous linear singular systems is established. A necessary and sufficient condition for existence of a positive stable realization of an improper transfer matrix is proposed. It is showed that the existence of a positive stable realization of an improper transfer matrix is equivalent to existence of positive stable realization of a strictly proper transfer matrix which corresponding to it. Mathematics Subjectdoi:10.12988/ijma.2014.4246 fatcat:3txakbhrvrcrtmwhkwk53llul4