DocumentCode
1089884
Title
A generalization of the positive real lemma
Author
Scherer, Rudolf ; Wendler, Werner
Author_Institution
Inst. fur Praktische Math., Karlsruhe Univ., Germany
Volume
39
Issue
4
fYear
1994
fDate
4/1/1994 12:00:00 AM
Firstpage
882
Lastpage
886
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 pole-zero cancellation appearing in the transfer function matrix, or in other words, missing the assumptions of controllability and observability, there exist generalized versions, which are discussed and proven applying the Kalman canonical decomposition
Keywords
linear systems; matrix algebra; poles and zeros; transfer functions; Kalman canonical decomposition; Kalman-Yacubovich-Popov lemma; algebraic conditions; linear dynamic system; pole-zero cancellation appearing; positive real lemma; positive realness; transfer function matrix; Automatic control; Control system analysis; Control system synthesis; Control systems; Digital filters; Feedback; Periodic structures; Riccati equations; Sampling methods; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.286276
Filename
286276
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