Stabilization of second-order evolution equations with time delay

Serge Nicaise (1) , Cristina Pignotti

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framework is then applied to the wave equation, the elasticity system and the Petrovsky system.

Domaines: Mathématiques [math]

Serge Nicaise, Cristina Pignotti. Stabilization of second-order evolution equations with time delay. Mathematics of Control, Signals, and Systems, 2014, 26 (4), pp.563-588. ⟨10.1007/s00498-014-0130-1⟩. ⟨hal-03159120⟩