Exponential Stability of Suspension Bridge With Kelvin-Voigt Damping and Non-Homogeneous Structure

This article deals with a suspension bridge where the main cable is under Kelvin-Voigt damping and the deck is composed of a non-homogeneous flexible structure. The well-posedness is established using the Lumer–Phillips theorem. The uniform stabilization of the system is achieved by constructing a Lyapunov functional that provides an explicit exponential energy decay rate.