Time-variant Darlington synthesis and induced realizations
Pik, Derk
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001), p. 1331-1360 / Harvested from The Polish Digital Mathematics Library
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For a block lower triangular contraction T, necessary and sufficient conditions are given in order that there exist block lower triangular contractions T_{1,1}, T_{2,1} and T_{2,2} such that T_{1,1} T U_T = [ ] T_{2,1} T_{2,2} is unitary. For the case when T^*_{1,1} and T_{2,2} have dense ranges, all such embeddings are described. Each unitary embedding of UT induces a contractive realization of T , and various properties of this realization are characterized in terms of the unitary embedding.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:207558 
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Pik, Derk. Time-variant Darlington synthesis and induced realizations. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 1331-1360. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i6p1331bwm/

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