DocumentCode
847428
Title
A Note on Spectral Conditions for Positive Realness of Transfer Function Matrices
Author
Shorten, Robert N. ; Curran, Paul ; Wulff, Kai ; Zeheb, Ezra
Author_Institution
Hamilton Inst., Nat. Univ. of Ireland, Maynooth
Volume
53
Issue
5
fYear
2008
fDate
6/1/2008 12:00:00 AM
Firstpage
1258
Lastpage
1261
Abstract
Necessary and sufficient conditions for positive realness of general transfer function matrices are derived. The conditions are expressed in terms of eigenvalues of matrix functions of the state matrices representation of the LTI system. Illustrative numerical examples are provided.
Keywords
control theory; eigenvalues and eigenfunctions; transfer function matrices; eigenvalues; matrix functions; positive realness; spectral conditions; state matrices representation; transfer function matrices; Adaptive control; Eigenvalues and eigenfunctions; Frequency; Mathematics; Optimal control; Stability; Sufficient conditions; System testing; Transfer functions; Very large scale integration; Conditions; passivity; positive real (PR); spectral methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2008.919553
Filename
4608945
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