Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: J-energy preserving well-posed linear systems
Contributor:
Curtain, Ruth - ed. ; Kaashoek, Rien - ed.
Subtitle:
Infinite-Dimensional Systems Theory and Operator Theory
Group publication title:
Abstract:
The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. ; The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foiaş. ; The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems.
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:
171
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65603
Show description in RDF format:
Show description in OAI-PMH format:
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 1 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 2 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 3 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 4 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 5 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 6 (2001)
-
-
-
-
-
-
-
-
-
-
-
-
| Edition name | Date |
|---|---|
| J-energy preserving well-posed linear systems | Jul 14, 2025 |
Objects Similar
Weiss, George Staffans, Olof J. Tucsnak, Marius Fliess, Michel - ed. Jai, Abdelhaq El - ed.
Błachuta, Marian J. Kowalczuk, Zdzisław - red.
Pandolfi, Luciano Curtain, Ruth - ed. Kaashoek, Rien - ed.
Liu, Pin-Lin Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Hendy, Ahmed S. Macías-Díaz, Jorge E. Clempner, Julio B. - ed. Ikonen, Enso - ed. Kurdyukov, Alexander P. - ed.
Karelin, Irina Lerer, Leonid Curtain, Ruth - ed. Kaashoek, Rien - ed.
Li, Jing-Rebecca White, Jacob Campbell, Stephen L. - ed.
Janiszowski, Krzysztof B. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
