Abstract: In this paper, we consider the exponential stabilization problem of a Timoshenko beam with interior local controls with input delays. In the past, most of the stabilization results for the Timoshenko beam were on the boundary control with input delays. In the present paper we shall extend the method treating the boundary control with delays to the case of interior local control with delays. Essentially we design a new dynamic feedback control laws that stabilizes exponentially the system. Detail of the design procedure of the dynamic feedback controller and analysis of the exponential stability are given.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Genqi Xu, A. Jalili Rahmati, F. Badpar, "Dynamic Feedback Stabilization of Timoshenko Beam with Internal Input Delays," WSEAS Transactions on Mathematics, vol. 17, pp. 101-112, 2018, DOI:
Genqi Xu, A. Jalili Rahmati, F. Badpar. Dynamic Feedback Stabilization of Timoshenko Beam with Internal Input Delays.
WSEAS Transactions on Mathematics. 2018;17:101-112.