Stabilization of some hyperbolic systems by means of viscoelastic damping or/and variable exponent frictional damping.


In our life, the natural supplies, although they are plentiful, could become scarce if they are not with prudence and wisdom. Within this perspective, it becomes very relevant to control the energy used for transferring a system from an initial to a finial state. The excessive expense of energy or the bad control of it can lead the plane to chaos.
Vibration has long been known for its capacity for disturbance, discomfort, damage and destruction. Since ancient times, mankind has tried to find ways to control this phenomenon.
A damping effect may be caused by applying internal or boundary frictional mechanisms. Also, a damping effect may result from the nature of the material.
In this talk, we will present some recent developments in stabilization of some systems using nonlinear frictional damping of variable exponent type and also the use of viscoelastic materials to stabilize some systems.