Digital Library of Zielona Góra contains 9 345 digital objects
Object
Title: Infinite-dimensional Sylvester equations: basic theory and application to observer design
Współtwórca:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Tytuł publikacji grupowej:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, Volume 22, Number 2 (2012) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2012)
Last modified:
14 lip 2025
In our library since:
31 sie 2018
Number of object content hits:
257
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/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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| Edition name | Date |
|---|---|
| Infinite-dimensional Sylvester equations: basic theory and application to observer design | 14 lip 2025 |
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