Title :
Comments on “A Note on Spectral Conditions for Positive Realness of Single-Input-Single-Output Systems With Strictly Proper Transfer Functions”
Author :
Moghaddam, Mohamad Hossein ; Khaloozadeh, Hamid
Author_Institution :
Dept. of Syst. & Control, K.N. Toosi Univ. of Technol., Tehran, Iran
Abstract :
The necessary and sufficient conditions for (strict) positive realness of strictly proper transfer functions are derived in the above-mentioned paper [1]. Presenting a counter-example, we show that there are inconsistencies between definitions stated in Section II and main results proved in section III of [1]. Also, the required corrections in the main results of [1] are presented. Note however that the results in [1] are correct for the definition of SPR in the Circuit Theory sense.
Keywords :
transfer functions; SPR; circuit theory sense; positive realness; single-input-single-output systems; spectral conditions; strictly proper transfer functions; Eigenvalues and eigenfunctions; State-space methods; Time-varying systems; Transfer functions; Strictly positive real (SPR) functions; strictly proper transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2218147