Boris V. Kapitonov, Gustavo Perla Menzala
Abstract:
We present a result on "simultaneous" exact controllability
for two models that describe two hyperbolic dynamics.
One is the system of Maxwell equations and the other a
vector-wave equation with a pressure term.
We obtain the main result using modified multipliers in order
to generate a necessary observability estimate which allow
us to use the Hilbert Uniqueness Method (HUM) introduced by Lions.
Submitted November 10, 2009. Published February 10, 2010.
Math Subject Classifications: 35Q99, 74F99, 35B40.
Key Words: Distributed systems; simultaneous exact controllability;
boundary observability.
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| Boris V. Kapitonov Sobolev Institute of Mathematics Siberian Branch of the Russian Academy of Science Novosibirsk, Russia | |
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Gustavo Perla Menzala National Laboratory of Scientific Computation (LNCC/MCT) Av. Getulio Vargas 333, Quitandinha, Petrópolis RJ, 25651-070, Brazil. Institute of Mathematics, Federal University of Rio de Janeiro RJ, P.O. Box 68530, Rio de Janeiro, Brazil email: perla@lncc.br |
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