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
fDate :
6/1/2008 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.919553
