Guaranteed passive parameterized macromodeling by using sylvester state-space realizations

Elizabeth Rita Samuel, Luc Knockaert, Francesco Ferranti, Tom Dhaene

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


A novel state-space realization for parameterized macromodeling is proposed in this paper. A judicious choice of the state-space realization is required in order to account for the assumed smoothness of the state-space matrices with respect to the design parameters. This technique is used in combination with suitable interpolation schemes to interpolate a set of state-space matrices, and hence the poles and residues indirectly, in order to build accurate parameterized macromodels. The key points of the novel state-space realizations are the choice of a proper pivot matrix and a well-conditioned solution of a Sylvester equation. Stability and passivity are guaranteed by construction over the design space of interest. Pertinent numerical examples validate the proposed Sylvester realization for parameterized macromodeling.

Original languageEnglish
Article number6473855
Pages (from-to)1444-1454
Number of pages11
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number4
Publication statusPublished - 11 Mar 2013


  • Interpolation
  • parameterized macromodeling
  • rational approximation
  • state-space matrices
  • Sylvester equation


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