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

Published online by Cambridge University Press:  15 August 2002

J. E. Lagnese
J. E. Lagnese*
Affiliation:
lagnese@gumath1.math.georgetown.edu
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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.

Keywords

Second order linear hyperbolic systems / problems of transmission / exact controllability / reachability / boundary control.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 2 , 1997 , pp. 343 - 357
Copyright
© EDP Sciences, SMAI, 1997

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