@article {65323,
	title = {Uniform exponential stability of the transmission wave equation with a delay term in the boundary feedback},
	journal = {IMA Journal of Mathematical Control and InformationIMA Journal of Mathematical Control and Information},
	volume = {33},
	year = {2016},
	month = {2016},
	pages = {1 - 20},
	abstract = {We consider a system of transmission of the wave equation with Neumann feedback control that contains a delay term and acts on the exterior boundary. First, we prove under some assumptions that the closed-loop system generates a C 0 -semigroup of contractions on an appropriate Hilbert space. Then, under further assumptions, we show that the closed-loop system is exponentially stable. To establish this result, we introduce a suitable energy function and use multiplier method together with an estimate taken from Lasiecka \&amp; Triggiani (1992, Appl. Math. Optim., 25, 189{\textendash}244.) (Lemma 7.2) and compactness-uniqueness argument.},
	author = {Rebiai, Salah-Eddine and Sidi-Ali, Fatima Zohra}
}
