Well posedness and stabilisation for a flexible mechanical system under distributed delay
Abstract
In this paper, we investigate the boundary control of flexible mechanical systems characterized by bending deformation, torsion deformation, and distributed delay. We establish the existence of solutions using the Faedo-Galerkin approach along with energy estimates. Under appropriate assumptions on the delay weight and the proposed control, we demonstrate the exponential stability of the solution via the Lyapunov method.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Dynamics and Control of Mechanical Systems
Vibration and Dynamic Analysis
Publication details
- Journal / source
- Theoretical and Applied Mechanics
- Volume
- 53
- Issue
- 1
- Pages
- 61–76
- Publication date
- 1 January 2026
- Language
- EN