- Tytuł:
- Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
- Autorzy:
-
Weiss, G.
Staffans, O. J.
Tucsnak, M. - Powiązania:
- https://bibliotekanauki.pl/articles/908320.pdf
- Data publikacji:
- 2001
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
system liniowy
układ zachowawczy
równanie różniczkowe
well-posed linear systems
regular linear system
operator semigroup
consevative system
scattering theory
time-flow-inversion
differential equations in Hilbert space
beam equation - Opis:
- We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł