Title :
Comments on “Model-Order Reduction Using Variational Balanced Truncation With Spectral Shaping”
Author :
Wan Muda, Wan Mariam ; Sreeram, Victor ; Ha, Minh B. ; Ghafoor, Abdul
Author_Institution :
Sch. of Ocean Eng., Univ. Malaysia Terengganu, Kuala Terengganu, Malaysia
Abstract :
This comment explains why the passivity preserving frequency weighted model reduction technique of Heydari and Pedram is guaranteed to yield neither passive nor stable models in the case of double-sided weighting. It is further shown for this method that the passivity can be preserved in the single-sided weighting case only. An example is presented to show that their method may yield non-passive models for passive original systems in the case of double-sided weighting.
Keywords :
passive networks; reduced order systems; spectral analysis; variational techniques; double-sided weighting; model-order reduction; nonpassive model; passive original system; passivity preserving frequency weighted model reduction technique; single-sided weighting; spectral shaping; variational balanced truncation; Eigenvalues and eigenfunctions; Equations; Integrated circuit modeling; Mathematical model; Matrix decomposition; Reduced order systems; Stability analysis; Algebraic Riccati equations; Lur´e equations; Passive-reduced order modeling; frequency weighting; high-speed interconnects; positive-real truncated balanced realization (PR-TBR);
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2014.2347235
