A Timoshenko type beam subject to a viscoelastic damping in the rotational displacement component is considered. Taking into account a neutral type delay, we prove a fast stability result despite the previously observed destabilizing effect due to delays in such systems. The proof relies on the introduction of nine different functionals with which we modify the energy of the system. These functionals are carefully selected and adapted to cope with both the viscoelasticity and the neutral delay.
Exponential decay, modified energy, multiplier technique, neutral delay, stability, viscoelasticity
KERBAL, SEBTI and TATAR, NASSER EDDINE
"Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam,"
Turkish Journal of Mathematics: Vol. 43:
2, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss2/3