Zielonogórska Biblioteka Cyfrowa udostępnia 65 903 obiektów cyfrowych
Obiekt
Tytuł: Infinite-dimensional Sylvester equations: basic theory and application to observer design
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
This paper develops a mathematical framework for the infinite-dimensional Sylvester equation both in the differential and the algebraic form. It uses the implemented semigroup concept as the main mathematical tool. This concept may be found in the literature on evolution equations occurring in mathematics and physics and is rather unknown in systems and control theories ; But it is just systems and control theory where Sylvester equations widely appear, and for this reason we intend to give a mathematically rigorous introduction to the subject which is tailored to researchers and postgraduate students working on systems and control. This goal motivates the assumptions under which the results are developed. As an important example of applications we study the problem of designing an asymptotic state observer for a linear infinitedimensional control system with a bounded input operator and an unbounded output operator.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, Volume 22, Number 2 (2012) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > 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) (2012)
Data ostatniej modyfikacji:
Jul 14, 2025
Data dodania obiektu:
Aug 31, 2018
Liczba wyświetleń treści obiektu:
259
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/55082
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 1 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 2 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 3 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22, number 4 (2012)
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| Nazwa wydania | Data |
|---|---|
| Infinite-dimensional Sylvester equations: basic theory and application to observer design | Jul 14, 2025 |
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