Struktura obiektu

Autor:

Dewilde, Patrick

Współtwórca:

Curtain, Ruth - ed. ; Kaashoek, Rien - ed.

Tytuł:

The geometry of Darlington synthesis

Podtytuł:

Infinite-Dimensional Systems Theory and Operator Theory

Tytuł publikacji grupowej:

AMCS, volume 11 (2001)

Temat i słowa kluczowe:

Darlington synthesis ; Hankel operator ; time-varying systems ; contractive operators ; coprime factorization

Abstract:

We revisit the classical problem of 'Darlington synthesis', or Darlington embedding. Although traditionally it is solved using analytic means, a more natural way to approach it is to use the geometric properties of a well-chosen Hankel map. The method yields surprising results. In the first place, it allows us to formulate necessary and sufficient conditions for the existence of the embedding in terms of systems properties of the transfer operation to be embedded.` ; In addition, the approach allows us to extend the solution to situations where no analytical transform is available. The paper has a high review content, as all the results presented have been obtained during the last twenty years and have been published. However, we make a systematic attempt at formulating them in a geometric way, independent of an accidental parametrization. The benefit is clarity and generality.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2001

Typ zasobu:

artykuł

Strony:

1379-1386

Źródło:

AMCS, volume 11, number 6 (2001) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego