Digital Library of Zielona Góra contains 63 456 digital objects
Object
Title: Approximate controllability of infinite dimensional systems of the n-th order
Współtwórca:
Kasiński, Andrzej - ed. ; Ponulak, Filip - ed.
Podtytuł:
Tytuł publikacji grupowej:
Abstract:
The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. ; We extensively used the fact that the knowledge of the inverse of a Jordan transition matrix enables us to directly verify the controllability by Chen`s theorem. We used the explicit analytical form of the inverse Vandermonde matrix. This enabled us to obtain more general conditions for different types of controllability for infinite dimensional systems than the conditions existing in the literature so far. The methods introduced can be easily adapted to the analysis of other dynamic properties of the systems considered.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 18, number 2 (2008) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > 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) (2008)
Last modified:
14 lip 2025
In our library since:
5 kwi 2024
Number of object content hits:
155
All available object's versions:
https://zbc.uz.zgora.pl/publication/88470
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 1 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 2 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 3 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 4 (2008)
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| Edition name | Date |
|---|---|
| Approximate controllability of infinite dimensional systems of the n-th order | 14 lip 2025 |
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