Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 13, number 4 (2003) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Nov 5, 2024
Oct 19, 2021
119
https://zbc.uz.zgora.pl/publication/65918
Edition name | Date |
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The stability of an irrigation canal system | Nov 5, 2024 |
Martins, Valérie Santos dos Rodrigues, Mickael Diagne, Mamadou Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Janiszowski, Krzysztof B. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Hammouri, Hassan Bounit, Hamid Logemann, Hartmut - red. Townley, Stuart - red.
Bhadauria, Beer Singh Singh, Manoj Kumar Singh, Ajay Singh, Brajesh Kumar Kiran, Palle Jurczak, Paweł - red.
Byrski, Witold Byrski, Jędrzej Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Bartecki, Krzysztof Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.