| 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. |
Keywords
feedback, string, invariant subspace, control
Math Review Classification
Primary 93C20, 73K03
; Secondary 35N10, 35N05
Last Updated
17 March 1999
Length
9 pages
Availability
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