On Positive Stable Realization for Continuous Linear Singular Systems

Manis Padang · 2014

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 Subject Classification: 93C05, 93D15, 93D20

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