On the asymptotic stability for Kirchhoff plates with viscoelastic dissipation

We present some results about the asymptotic behavior of a Kirchhoff plate with viscoelastic dissipative effects, making use of the concept of minimal state. This approach allows to obtain results in a larger class of solutions and data with respect to the classical one, based on the histories of the deformation gradient. Recently, a lot of attention has been paid to find unified approaches to study the asymptotic behavior with memory kernels exhibiting a temporal decay containing the exponential and polynomial decay as special cases. Here we extend this unified approach to the Kirchhoff plate model in presence of supplies within the minimal state formalism.