Boundary Feedback Stabilization of a Vibrating String with an Interior Point Mass

S. W. Taylor, W. Littman


We study the boundary feedback stabilization for a one-dimensional wave equation with an interior point mass. We show that if
the initial data belong to a certain invariant subspace of the semigroup of operators that generates the solution of the
system, then the energy will decay like $C/$time. This improves a result of Hansen and Zuazua cite{hansen} who consider decay
of solutions belonging to the domain of a power of the infinitesimal generator of the semigroup.

feedback, string, invariant subspace, control

Math Review Classification
Primary 93C20, 73K03 ; Secondary 35N10, 35N05

Last Updated
17 March 1999

9 pages

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