Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: The geometry of Darlington synthesis
Contributor:
Curtain, Ruth - ed. ; Kaashoek, Rien - ed.
Subtitle:
Infinite-Dimensional Systems Theory and Operator Theory
Group publication title:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 11, number 6 (2001) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2001)
Last modified:
Jul 14, 2025
In our library since:
Jul 22, 2021
Number of object content hits:
172
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65604
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 1 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 2 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 3 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 4 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 5 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 6 (2001)
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| Edition name | Date |
|---|---|
| The geometry of Darlington synthesis | Jul 14, 2025 |
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