A GENERALIZATION OF THE POSITIVE REAL LEMMA

Authors
SCHERER R WENDLER W
Citation
R. Scherer et W. Wendler, A GENERALIZATION OF THE POSITIVE REAL LEMMA, IEEE transactions on automatic control, 39(4), 1994, pp. 882-886
Citations number
10
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
4
Year of publication
1994
Pages
882 - 886
Database
ISI
SICI code
0018-9286(1994)39:4<882:AGOTPR>2.0.ZU;2-8
Abstract
The positive real lemma (also called the Kalman-Yacubovich-Popov lemma ) characterizes the positive realness of the transfer function matrix of a linear dynamic system by algebraic conditions. In the case of a p ole-zero cancellation appearing in the transfer function matrix, or in other words, missing the assumptions of controllability and observabi lity, there exist generalized versions, which are discussed and proven applying the Kalman canonical decomposition.