Exponential stability of laminated beam With constant delay feedback

Abstract

In this memory, we considered a system of laminated beam with an internal constant delay term in the transverse displacement. We established the global existence and the uniqueness of the solution by using the semi-group theory. Finally, we studied the asymptotic behavior of solution by using the multiplier method, and we proved the exponential stability of the system under suitable assumptions on delay feedback and coefficients of wave propagation speed.