Madani Douib, Djamel Ouchenane, Salah Zitouni

Exponential Stability for Coupled Flexible Structure System with Distributed Delay

abstract:
In this paper, we consider a coupled flexible structure system with distributed delay in two equations. We first give the well-posedness of the system by using a semigroup method. Then, by using the perturbed energy method and constructing some Lyapunov functionals, we obtain the exponential decay result.

Mathematics Subject Classification: 37C75, 93D05

Key words and phrases: Flexible structure, coupled system, distributed delay, well-posedness, exponential stability