A Note on Spectral Conditions for Positive Realness of Transfer Function Matrices

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.

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2008-06, Vol.53 (5), p.1258-1261
Main Authors: Shorten, R.N., Curran, P., Wulff, K., Zeheb, E.
Format: Article
Language:English
Subjects:
Adaptive control
Applied sciences
Automatic control
Computer science
control theory
systems
Conditions
Control theory. Systems
Eigenvalues
Eigenvalues and eigenfunctions
Exact sciences and technology
Frequency
Mathematical analysis
Mathematics
Matrices
Matrix methods
Optimal control
passivity
positive real (PR)
Representations
Spectra
spectral methods
Stability
Sufficient conditions
System testing
Transfer functions
Very large scale integration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2008.919553