Title :
A Note on Tests for Positive-Real Functions
Author :
Chen, Michael Z Q ; Smith, Malcolm C.
Author_Institution :
Dept. of Eng., Univ. of Leicester, Leicester, MA
Abstract :
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.
Keywords :
network synthesis; passive networks; electric circuits; low-order real-rational functions; network synthesis; positive-real functions; scalar real-rational functions; Automatic control; Circuit synthesis; Circuit testing; Communication networks; Filtering; Network synthesis; Scheduling algorithm; Stochastic processes; Sufficient conditions; Transformers; Electric circuits; mechanical networks; network synthesis; passivity;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2008351
