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.
|Number of pages||18|
|Journal||Journal of Mathematical Systems, Estimation, and Control|
|State||Published - 1 Jan 1997|
ASJC Scopus subject areas
- Engineering (all)