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期刊论文
Exponential Decay Rate for a Timoshenko Beam with Boundary Damping1,2
journal of optimization theory and applications: Vol. 123, No.3, pp. 669-693, December 200,-0001,():
The exponential decay rate of a Timoshenko beam system with boundary damping is studied. By asymptotically analyzing the characteristic determinant of the system, we prove that the Timoshenko beam system is a Riesz system; hence, its decay rate is determined via its spectrum. As a consequence, by showing that the imaginary axis neither has an eigenvalue on it nor is an asymptote of the spectrum, we conclude that the system is exponentially stable.
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