Time-variant Darlington synthesis and induced realizations

• Autorzy: Pik D.
• Języki publikacji: EN

Abstrakty

EN

For a block lower triangular contraction T, necessary and sufficient conditions are given in order that there exist block lower triangular contractions T1,1, T2,1 and T2,2 such that Ut= [ T1,1 T ] T2,1 T2,2 is unitary. For the case when T1,1* and T2,2 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.

Słowa kluczowe

EN

contractive linear systems; Darlington synthesis; time-variant linear systems

PL

system liniowy; synteza Darlingtona

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 6
• Strony: 1331--1360
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Pik D.

• Division of Mathematics and Computer Sciences Faculty of Sciences, De Boelelaan 1081 a 1081 HV Amsterdam, The Netherlands,