State space theory of automorphisms of rational matrix functions

Daniel Alpay, Joseph A. Ball, Israel Gohberg, Leiba Rodman

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The state space theory from linear control theory is used as a tool to describe the action of automorphisms of a certain form acting on rational matrix functions. This class consists of automorphisms representable as the composition of a linear fractional change of variable together with the operations of inverse-transpose, conjugation and an inner automorphism. We also describe in state space terms minimal factorizations within the class of functions of a certain associated group.

Original languageEnglish
Pages (from-to)349-377
Number of pages29
JournalIntegral Equations and Operator Theory
Issue number3
StatePublished - 1 May 1992

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory


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