Exact controllability of second-order hyperbolic equations with impulse controls

摘要

The exact controllability of a class of second-order hyperbolic boundary problems, both linear and semi-linear, with internal impulse controls supported from suitable subdomain is studied. It is shown that if the principal linear part of the hyperbolic equation satisfies Huygens' principle (in a certain sense) and if the aforementioned subdomain is suitably chosen, then such #x201C;impulse#x201D; exact controllability is possible.