Dynamical behavior of a hybrid system of nonhomogeneous timoshenko beam with partial non-collocated inputs

Abstract

The dynamical behavior of a kind of elastic hybrid system is considered. This system consists of a nonhomogeneous Timoshenko beam linked at its boundary to a rigid body. The non-collocated input terms are required in the boundary feedback controls. It is proved that this closed loop system is well-posed. By a complete eigenfrequency analysis, it is shown that this infinite-dimensional hybrid system satisfies spectrum-determined growth condition. The stability of this system is discussed and some simulations are given to show that this kind of hybrid system can be exponentially stable under certain condition.