A Note on Tests for Positive-Real Functions

This technical note presents a modified test for positive-realness of scalar real-rational functions which avoids the need to test residue conditions. Necessary and sufficient conditions for the positive-realness of some classes of low-order real-rational functions are given by making use of the mod...

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Veröffentlicht in:	IEEE transactions on automatic control 2009-02, Vol.54 (2), p.390-393
Hauptverfasser:	Chen, M., Smith, M.C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Automatic control Circuit synthesis Circuit testing Communication networks Computer science control theory systems Control system analysis Control theory. Systems Electric circuits Exact sciences and technology Filtering mechanical networks Network synthesis passivity Residues Scalars Scheduling algorithm Stochastic processes Sufficient conditions Transformers
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Beschreibung
Zusammenfassung:	This technical note presents a modified test for positive-realness of scalar real-rational functions which avoids the need to test residue conditions. Necessary and sufficient conditions for the positive-realness of some classes of low-order real-rational functions are given by making use of the modified test.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2008.2008351