# Boundary controllability in problems of transmission for a class of second order hyperbolic systems

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 2, page 343-357
- ISSN: 1292-8119

## Access Full Article

top## Abstract

top## How to cite

topLagnese, J. E.. "Boundary controllability in problems of transmission for a class of second order hyperbolic systems." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 343-357. <http://eudml.org/doc/197306>.

@article{Lagnese2010,

abstract = {
We consider transmission problems for general second order linear hyperbolic
systems having piecewise constant coefficients in a bounded, open connected
set with smooth boundary and controlled through the Dirichlet boundary
condition. It is proved that such a system is exactly controllable in an
appropriate function space provided the interfaces where the coefficients
have a jump discontinuity are all star-shaped with respect to one and the
same point and the coefficients satisfy a certain monotonicity condition.
},

author = {Lagnese, J. E.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Second order linear hyperbolic systems /
problems of transmission / exact controllability /
reachability / boundary control.; wave equation defined on a star-shaped domain; transmission problem; second-order linear hyperbolic systems; piecewise constant coefficients; exact controllability},

language = {eng},

month = {3},

pages = {343-357},

publisher = {EDP Sciences},

title = {Boundary controllability in problems of transmission for a class of second order hyperbolic systems},

url = {http://eudml.org/doc/197306},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Lagnese, J. E.

TI - Boundary controllability in problems of transmission for a class of second order hyperbolic systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 2

SP - 343

EP - 357

AB -
We consider transmission problems for general second order linear hyperbolic
systems having piecewise constant coefficients in a bounded, open connected
set with smooth boundary and controlled through the Dirichlet boundary
condition. It is proved that such a system is exactly controllable in an
appropriate function space provided the interfaces where the coefficients
have a jump discontinuity are all star-shaped with respect to one and the
same point and the coefficients satisfy a certain monotonicity condition.

LA - eng

KW - Second order linear hyperbolic systems /
problems of transmission / exact controllability /
reachability / boundary control.; wave equation defined on a star-shaped domain; transmission problem; second-order linear hyperbolic systems; piecewise constant coefficients; exact controllability

UR - http://eudml.org/doc/197306

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.