SIAM Journal on Control and Optimization · 2001 · 31 citations · 4 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsVibrationDamped VibrationDissipative SystemsPerturbation TheoryStability TheoryString TheoryDamped Wave PropagationDampingDamping EffectsFinite TimeFinite-time StabilityVibrating StringsViscous DampingWave Damping
We exhibit a sequence of viscous dampings for the fixed string that yields arbitrarily fast attenuation of any and all initial disturbances. The limit case produces extinction of all solutions in finite time.
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