Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: The stability of an irrigation canal system
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. ; The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the exponential (or internal) stability of the semigroup underlying the system. ; Next, we compute explicitly the transfer functions of the system and we show that the input-output (or external) stability holds. Finally, we prove that the system is regular in the sense of (Weiss, 1994) and give various properties related to its transfer functions.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 13, number 4 (2003) ; 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) (2003)
Last modified:
Jul 14, 2025
In our library since:
Oct 19, 2021
Number of object content hits:
227
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65918
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 1 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 2 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 3 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 4 (2003)
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| Edition name | Date |
|---|---|
| The stability of an irrigation canal system | Jul 14, 2025 |
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