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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2010

Stabilization of second order evolution equations with unbounded feedback with time-dependent delay

Résumé

We consider abstract second order evolution equations with unbounded feedback with time-varying delay. Existence results are obtained under some realistic assumptions. We prove the exponential decay under some conditions by introducing an abstract Lyapunov functional. Our abstract framework is applied to the wave, to the beam, and to the plate equations with boundary delays.
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Dates et versions

hal-00599627 , version 1 (02-02-2022)

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Emilia Fridman, Serge Nicaise, Julie Valein. Stabilization of second order evolution equations with unbounded feedback with time-dependent delay. SIAM Journal on Control and Optimization, 2010, 48 (8), pp.5028-5052. ⟨10.1137/090762105⟩. ⟨hal-00599627⟩
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