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 language | English |
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Pages (from-to) | 383-400 |
Number of pages | 18 |
Journal | Journal of Mathematical Systems, Estimation, and Control |
Volume | 7 |
Issue number | 4 |
State | Published - 1 Jan 1997 |
ASJC Scopus subject areas
- General Engineering