4.7 Article

A Note on Tests for Positive-Real Functions

期刊

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 54, 期 2, 页码 390-393

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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2008.2008351

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Electric circuits; mechanical networks; network synthesis; passivity

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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.

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