Discrete Time Positive-Real Lemma Revisited: The Discrete Time Counterpart of the Kalman-Yakubovitch Lemma

Kamal Premaratne, Eliahu I. Jury

Research output: Contribution to journalArticle

29 Scopus citations


In this paper, we present what can be considered the discrete-time counterpart of the concept of positive realness and the corresponding algebraic necessary and sufficient criteria that a discrete-time transfer function matrix must satisfy. This latter result may be thought of as the discrete-time counterpart of the Kalman-Yakubovitch Lemma and it is expected to find application in various areas of study. In particular, its use in proving the Jury-Lee criterion applicable in absolute stability studies of a certain class of discrete-time nonlinear systems is shown.

Original languageEnglish (US)
Pages (from-to)747-750
Number of pages4
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number11
StatePublished - Nov 1994


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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