ASYMPTOTIC STABILITY OF AN OVERHEAD CRANE WITH NONLINEAR CONTROL AND VISCOUS DAMPING

Overhead cranes play a crucial role in various industrial applications, including construction, heavy component transport, and machinery handling. In this paper, we study the asymptotic stability of an overhead crane model governed by a semilinear evolution equation. The model incorporates a nonlinear feedback control and a viscous damping term, both of which significantly impact the stability properties. Our analysis focuses on the mathematical formulation, well-posedness, and stability behavior of the system.