Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 5

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Gradient observability for diffusion systems

100%
Zerrik E. H., Bourray H.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom 13
|
nr 2
139-150
EN
The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm illustrated by simulations.
2
Content available remote

Regional boundary observability: a numerical approach

81%
Zerrik E. H., Bourray H., Boutoulout A.
International Journal of Applied Mathematics and Computer Science
|
2002
|
tom 12
|
nr 2
143-151
EN
In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which is illustrated by simulations.
3
Content available remote

A new approach to the constrained controllability problem

81%
Boutoulout A., Ezzahri L., Bourray H.
Applicationes Mathematicae
|
2014
|
tom 41
|
nr 2-3
221-228
EN
We consider the problem of internal regional controllability with output constraints. It consists in steering a hyperbolic system to a final state between two prescribed functions only on a subregion of the evolution system domain. This problem is solved by characterizing the optimal control in terms of a subdifferential associated with the minimized functional.
4
Content available remote

Sensors and boundary state reconstruction of hyperbolic systems

81%
Zerrik E., Bourray H., Hadid S.
International Journal of Applied Mathematics and Computer Science
|
2010
|
tom 20
|
nr 2
227-238
EN
This paper deals with the problem of regional observability of hyperbolic systems in the case where the subregion of interest is a boundary part of the system evolution domain. We give a definition and establish characterizations in connection with the sensor structure. Then we show that it is possible to reconstruct the system state on a subregion of the boundary. The developed approach, based on the Hilbert uniqueness method (Lions, 1988), leads to a reconstruction algorithm. The obtained results are illustrated with numerical examples and simulations.
5
Content available remote

Regional control problem for distributed bilinear systems: Approach and simulations

81%
Ztot K., Zerrik E. H., Bourray H.
International Journal of Applied Mathematics and Computer Science
|
2011
|
tom 21
|
nr 3
499-508
EN
This paper investigates the regional control problem for infinite dimensional bilinear systems. We develop an approach that characterizes the optimal control and leads to a numerical algorithm. The obtained results are successfully illustrated by simulations.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.