Autor:

Bounit, Hamid

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

The stability of an irrigation canal system

Tytuł publikacji grupowej:

AMCS, volume 13 (2003)

Temat i słowa kluczowe:

Saint-Venant equation ; dimensionless ; symmetric hyperbolic equation ; internal stability ; transfer function ; input-output stability ; regular systems

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2003

Typ zasobu:

artykuł

Strony:

453-468

Źródło:

AMCS, volume 13, number 4 (2003) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego