A Simple Method for Deriving J-Spectral Factors

U. Shaked, I. Yaesh

Research output: Contribution to journalArticlepeer-review


A simple method is presented for deriving the J-spectra factor of a transfer function matrix explicitly in terms of the parameter; of this matrix. This method provides closed-form expressions for the J-spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H-optimal regulation problem and it provides a useful geometric insight to the structure of the optimal regulator return difference matrix.

Original languageEnglish
Pages (from-to)891-895
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 1992


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