Factorization theory for stable, discrete-time inner functions

P. A. Fuhrmann, J. Hoffmann

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A factorization theory for stable, matrix valued inner functions in state space terms is described. Factorizations of inner functions are related bijectively to the set of invariant subspaces of a model operator, that is a restricted shift operator. By Finesso and Picci, factorization of inner functions to their state space realization can be related. The central result established a bijective correspondence between factorizations of an inner functions to their state space terms.

Original languageEnglish
Pages (from-to)383-400
Number of pages18
JournalJournal of Mathematical Systems, Estimation, and Control
Volume7
Issue number4
StatePublished - 1 Jan 1997

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