Feedback stabilization of a Timoshenko beam with an end mass

• Published in: International journal of control Vol. 69; no. 2; pp. 285 - 300
• Main Authors: Shi, Dong-Hua, Hou, S. H., Feng, De-Xing
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis Group 01.01.1998; Taylor & Francis
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Asymptotic stability; Boundary value problem; Vibration; Energy; Feedback; Stabilization; Non linear control; Elastic beam; Hybrid system

The boundary feedback control problem of a Timoshenko beam with an end mass is studied in this paper. First, under some nonlinear boundary feedback controls, the asymptotic stability for the corresponding closed-loop system is shown. Then, with the energy-perturbed approach, it is proved, under some...