EXPONENTIAL STABILITY FOR THE TIMOSHENKO BEAM BY A LOCALLY DISTRIBUTED DAMPING

C. A. Raposo, J. Ferreira

Abstract


In this paper we generalize the result obtained by C.A. Raposo et
al (\cite {13}), where two dissipative terms
distributed in the whole beam was considered. In  practice, it is desirable to
consider the problem with locally distributed damping.  In this
sense we  prove the exponential stability for the Timoshenko beam
by one control force, that is, one locally distributed damping in
the transverse displacement of the beam.

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