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

Lagnese, 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 -