Temat: hyperbolic systems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Non-Smoothness in the Asymptotics of Thin Shells and Propagation of Singularities. Hyperbolic Case
Autorzy:: Karamian, P.
Sanchez-Hubert, J
Sanchez Palencia, E.
Powiązania:: https://bibliotekanauki.pl/articles/907888.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
hyperbolic systems
propagation of singularities
shells
Opis:: We consider the limit behaviour of elastic shells when the relative thickness tends to zero. We address the case when the middle surface has principal curvatures of opposite signs and the boundary conditions ensure the geometrical rigidity. The limit problem is hyperbolic, but enjoys peculiarities which imply singularities of unusual intensity. We study these singularities and their propagation for several cases of loading, giving a somewhat complete description of the solution.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 81-90
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Time-optimal control of infinite order hyperbolic systems with time delays
Autorzy:: Kowalewski, A.
Powiązania:: https://bibliotekanauki.pl/articles/929954.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sterowanie czasooptymalne
systemy hyperboliczne
opóźnienie czasowe
time-optimal control
infinite order
hyperbolic systems
time delays
Opis:: In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 597-608
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: An output controllability problem for semilinear distributed hyperbolic systems
Autorzy:: Zerrik, E.
Larhrissi, R.
Bourray, H.
Powiązania:: https://bibliotekanauki.pl/articles/929815.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: system o parametrach rozłożonych
system półliniowy
system hyperboliczny
sterowność wymuszona
punkt stały
distributed-parameter systems
semilinear hyperbolic systems
constrained controllability
fixed point
Opis:: The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder’s fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 437-446
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: The Stability of an Irrigation Canal System
Autorzy:: Bounit, H.
Powiązania:: https://bibliotekanauki.pl/articles/908097.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
Saint-Venant equation
dimensionless
symmetric hyperbolic equation
internal stability
transfer functions
input-output stability
regular systems
Opis:: 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.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 453-468
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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